Questions · Page 3 of 4

M.C.Q. [1 Marks Each]

MCQ 1011 Mark
Which of the following alphabet represents a closed curve?
  • A
    $U$
  • B
    $R$
  • C
    $C$
  • $O$
Answer
Correct option: D.
$O$
 In simple closed curves, the shapes are closed by line-segments or by a curved line.
Triangle, quadrilateral, circle, etc., are examples of closed curves.
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MCQ 1021 Mark
...................is equilateral and equiangular.
  • A
    Rectangle
  • B
    Scalene triangle
  • Square
  • D
    Kite
Answer
Correct option: C.
Square

All sides and angles in a square are equal, while all other three options have unequal measures.

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MCQ 1031 Mark
The three angles of a quadrilateral are $80^\circ , 70^\circ $ and $120^\circ .$ The fourth angle is:
  • A
    $110^\circ$
  • B
    $100^\circ$
  • $90^\circ$
  • D
    $80^\circ$
Answer
Correct option: C.
$90^\circ$

The three angles of a quadrilateral are $80^\circ , 70^\circ $ and $120^\circ .$
Let the fourth angle be $x.$
We know that the sum of all the angles of a quadrilateral is $360^\circ .$
$80^\circ + 70^\circ + 120^\circ + x = 360^\circ $
$\Rightarrow 270^\circ + x = 360^\circ $
$\Rightarrow x = 360^\circ – 270^\circ $
$\Rightarrow x = 90^\circ $
Thus, the fourth angle is $90^\circ .$

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MCQ 1041 Mark
Two distinct intersecting lines cannot be parallel to the _____line.
  • Same
  • B
    Different
  • C
    Both $(A)$ and $(B)$
  • D
    None of these
Answer
Correct option: A.
Same

Two intersecting lines can never be parallel to each other. So, as they are intersecting, this is not possible that they are both parallel to the same line.

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MCQ 1051 Mark
Mark $(\checkmark)$ against the correct answer in the following:
The measure of astraight angle is:
  • A
    $90^\circ$
  • B
    $150^\circ$
  • $180^\circ$
  • D
    $360^\circ$
Answer
Correct option: C.
$180^\circ$

 A straight angle is equal to $180^\circ .$

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MCQ 1061 Mark
What is a Ray?
  • Ray has only one end point
  • B
    Ray has no end point
  • C
    Ray is a line segment
  • D
    Ray is a line
Answer
Correct option: A.
Ray has only one end point

 A ray is a line segment which has only one end point. One end of ray is fixed and the other end doesnt exist.

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MCQ 1071 Mark
Mark $(\checkmark)$ against the correct answer in the following:
The minimum number of points of intersection of three lines in a plane is:
  • A
    $1$
  • B
    $2$
  • C
    $3$
  • $0$
Answer
Correct option: D.
$0$

 Three lines will not necessarily intersect in a plane. Thus, the minimum point of intersection will be 0.

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MCQ 1081 Mark
If $AB$ is a line and $P$ is a fixed point, outside $AB,$ how many lines can be drawn through $P$ which are parallel to $AB$
  • Only one
  • B
    More than one
  • C
    Infinite
  • D
    None of these
Answer
Correct option: A.
Only one
 There is one and only one line drawn through the outside point $P$ which is parallel to $AB.$
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MCQ 1091 Mark
An angle of measure $180^\circ $ is called:
  • A
    A zero angle.
  • B
    A right angle.
  • A straight angle.
  • D
    A reflex angle.
Answer
Correct option: C.
A straight angle.

 An angle of measure $180^\circ $ is a straight angle.

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MCQ 1101 Mark
Rectilinear figure is formed by ______.
  • A
    Plane
  • B
    Points
  • Straight lines
  • D
    Cant be determined
Answer
Correct option: C.
Straight lines

A rectilinear figure is a figure all of whose edges meet at right angles. These edges are formed by straight lines so as to form a polygon with all interior angles of $90^\circ $

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MCQ 1111 Mark
Which of the following is an equation of a straight line?
  • A
    $\frac{\text{x}^2}{\text{a}}+\frac{\text{y}^2}{\text{b}}=1$
  • $3\text{x}+4\text{y}-6=0$
  • C
    $\text{y}-\text{y}_1=\text{m}(\text{x}-\text{x}_1)$
  • D
    $7\text{x}-4\text{y}-8=0$
Answer
Correct option: B.
$3\text{x}+4\text{y}-6=0$
$3\text{x}+4\text{y}-6=0$
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MCQ 1121 Mark
A __________ of a circle is a line segment joining any two points on the circle.
  • A
    Diameter
  • B
    Radius
  • Chord
  • D
    None of these
Answer
Correct option: C.
Chord
Chord
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MCQ 1131 Mark
Diagonals are:
  • A
    Curves
  • Line segments
  • C
    $A$ or $B$ (depends on the type of polygon)
  • D
    None of these
Answer
Correct option: B.
Line segments

They are line segments joining two opposite vertices in a polygon.

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MCQ 1141 Mark
Which of the following has a definite length?
  • Line segment
  • B
    Ray
  • C
    Line
  • D
    None of these
Answer
Correct option: A.
Line segment

line segment has a definite length.

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MCQ 1151 Mark
If $l, m$ and $nn$ are three distinct lines such that $\text{l}\parallel\text{m}$ and $\text{l}\parallel\text{n}$ which option holds good?
  • A
    $\text{m}\perp\text{n}$
  • $\text{m}\parallel\text{n}$
  • C
    $\text{m}=\text{n}$
  • D
    $\text{l}\perp\text{n}$
Answer
Correct option: B.
$\text{m}\parallel\text{n}$
$\text{m}\parallel\text{n}$
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MCQ 1161 Mark
When you draw without lifting your pencil or pen on a paper you get$?$
  • Plane curve
  • B
    Plane shadow
  • C
    $3-$dimension
  • D
    Line
Answer
Correct option: A.
Plane curve

When we join number of points without lifting our pen we make a shape which not necessarily should be straight or curve. We get a plane curve.

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MCQ 1171 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Where does the vertex of an angle lie?
  • A
    In its interior.
  • B
    In its exterior.
  • On the angle.
  • D
    None of these.
Answer
Correct option: C.
On the angle.

Vertex of an angle lie on it.

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MCQ 1181 Mark
Which of the following is not a real life example of intersecting line?
  • Cricket ball
  • B
    Table
  • C
    Bed
  • D
    Mango
Answer
Correct option: A.
Cricket ball

 An intersection can be seen at the legs of a table and bed. But there is no such intersection in Mango and Cricket ball

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MCQ 1191 Mark
What is a curve?
  • A
    It is an angle
  • B
    It is a polygon
  • C
    It is a quadrilateral
  • It is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.
Answer
Correct option: D.
It is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

 A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

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MCQ 1201 Mark
Mark $(\checkmark)$ against the correct answer in the following:
  • A
    One.
  • B
    Two.
  • An unlimited number.
  • D
    A limited number only.
Answer
Correct option: C.
An unlimited number.

An unlimited number of rays can be drawn with a given point as the initial point.
For example:

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MCQ 1211 Mark
If the lines are equidistant from each other and will never intersect are called as?
  • A
    Perpendicular lines
  • Parallel lines
  • C
    Intersecting Lines
  • D
    None of these
Answer
Correct option: B.
Parallel lines

Parallel lines are equidistant from each other at every point and intersect at infinity or are equivalent to non-intersecting lines.

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MCQ 1221 Mark
A ray $CD$ is symbolically written as:
  • A
    $\text{CD}$
  • B
    $\overleftrightarrow{\text{CD}}$
  • C
    $\overline{\text{CD}}$
  • $\overrightarrow{\text{CD}}$
Answer
Correct option: D.
$\overrightarrow{\text{CD}}$

 The symbol of a ray is $\rightarrow $
Hence, A ray $CD$ is symbolically written as $\overrightarrow{\text{CD}}$

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MCQ 1231 Mark
The pair of lines which never intersect each other are called as:
  • Parallel lines
  • B
    Intersecting linnes
  • C
    Perpendicular lines
  • D
    None of these
Answer
Correct option: A.
Parallel lines

 Parallel lines never intersect each other by virtue of their property.

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MCQ 1241 Mark
A ray has..........end points.
  • A
    $2$
  • B
    $4$
  • C
    $3$
  • $1$
Answer
Correct option: D.
$1$

 A ray has a starting point but no end point..

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MCQ 1251 Mark
How many rays are possible through a given point?
  • A
    One
  • B
    Two
  • C
    Three
  • Infinity
Answer
Correct option: D.
Infinity
From a point, we can subtend a ray in any direction. So, infinite number of rays can be drawn from a given point.
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MCQ 1261 Mark
In the adjoining figure, the point $P$ lies:
  • A
    In the interior of $\triangle\text{ABC}.$
  • B
    In the exterior of $\triangle\text{ABC}.$
  • On $\triangle\text{ABC}.$
  • D
    Outside $\triangle\text{ABC}.$
Answer
Correct option: C.
On $\triangle\text{ABC}.$

 In the figure, $P$ lies on $AB$. Its lies on the $\triangle\text{ABC}.$

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MCQ 1271 Mark
What is the simplest of all geometrical figures which has no size but has a position?
  • A
    A line
  • B
    A line segment
  • A point
  • D
    A plane
Answer
Correct option: C.
A point
A point
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MCQ 1281 Mark
Line segment has.............fixed length.
  • A
    Infinite
  • $A$
  • C
    No
  • D
    None of these
Answer
Correct option: B.
$A$

 line segment has a fixed length since it is joined by two fixed points..

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MCQ 1291 Mark
Number of rays that can be drawn from a given point is-
  • A
    $6$
  • Infinite
  • C
    $3$
  • D
    $4$
Answer
Correct option: B.
Infinite

from a point infinite(endless) number of rays can be drawn..

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MCQ 1301 Mark
The angles of a triangle are in the ratio $2 : 3 : 4.$ The largest angle is:
  • A
    $60^\circ $
  • $80^\circ $
  • C
    $76^\circ$
  • D
    $84^\circ$
Answer
Correct option: B.
$80^\circ $

$\therefore$ Largest angle
$=\frac{180^\circ\times4}{2+3+4}=\frac{180^\circ\times4}{9}=80^\circ$

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MCQ 1311 Mark
Mark $(✓)$ against the correct answer in the following:
A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides is called a:
  • A
    Parallelogram
  • B
    Rectangle
  • C
    Trapezium
  • Kite
Answer
Correct option: D.
Kite
Kite
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MCQ 1321 Mark
Mark $(✓)$ against the correct answer in the following:
If the diagonals of a quadrilateral bisect each other at right angles, then this quadrilateral is a:
  • A
    Rectangle
  • B
    Parallelogram
  • Rhombus
  • D
    Kite
Answer
Correct option: C.
Rhombus
Rhombus
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MCQ 1331 Mark
A triangle whose no two sides are equal is known as:
  • A
    An acute triangle.
  • A scalene triangle.
  • C
    An isosceles triangle.
  • D
    An equilateral triangle.
Answer
Correct option: B.
A scalene triangle.

A Scalene triangle is defined as the triangle in which no sides are equal.

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MCQ 1341 Mark
A triangle having sides of different lengths is called:
  • A
    An isosceles triangle
  • B
    An equilateral triangle
  • A scalene triangle
  • D
    A right triangle
Answer
Correct option: C.
A scalene triangle

 $\therefore$ A scalene triangle has different sides.

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MCQ 1351 Mark
Mark $(\checkmark)$ against the correct answer in the following:
An angle measuring $360^\circ $ is:
  • A
    A reflex angle.
  • B
    An obtuse angle.
  • C
    A straight angle.
  • A complete angle.
Answer
Correct option: D.
A complete angle.

A complete angle is equal to $360^\circ .$

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MCQ 1361 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Which of the following has no end points?
  • A
    A line segment.
  • B
    A ray.
  • A line.
  • D
    None of these.
Answer
Correct option: C.
A line.

 A line does not have any end point. It is a line segment that is extended endlessly on both sides.

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MCQ 1371 Mark
The number of sides of a regular polygon whose each exterior angle has a measure of $30^\circ $ is.
  • $12$
  • B
    $6$
  • C
    $8$
  • D
    $10$
Answer
Correct option: A.
$12$

 Sum of exterior angles of every polygon irrespective of number of its sides $360^\circ $ As it is a regular polygon, all exterior angles are equal and are $30^\circ $
So, number of sides of the polygon $=\frac{360^{\circ}}{30^{\circ}}=12$

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MCQ 1381 Mark
Mark $(\checkmark)$ against the correct answer in the following:
Choose the correct statement:
  • A
    Every line has a definite length.
  • B
    Every ray has a definite length.
  • Every line segment has a definite length.
  • D
    None of these.
Answer
Correct option: C.
Every line segment has a definite length.

Every line segment has a definite length, which can be measured using a ruler.

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MCQ 1391 Mark
One of the base angles of an isosceles triangle is $70^\circ $ The vertical angle is:
  • A
    $60^\circ$
  • B
    $80^\circ$
  • $40^\circ$
  • D
    $35^\circ$
Answer
Correct option: C.
$40^\circ$

$\therefore$ Sum of three angles is $180^\circ$ and sum of two equal angles $= 70^\circ + 70^\circ = 140^\circ ,$ then third angle will be $180^\circ - 140^\circ = 40^\circ .$

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MCQ 1401 Mark
The sum of the length of sides of a triangle is known as its:
  • A
    Area.
  • B
    Height.
  • Perimeter.
  • D
    Region.
Answer
Correct option: C.
Perimeter.

 Perimeter is defined as the sum of the length of all the sides of a triangle.

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MCQ 1411 Mark
The ______ angles of a polygon are the angles at each vertex on the inside of the polygon:
  • interior
  • B
    exterior
  • C
    diagonal
  • D
    curves
Answer
Correct option: A.
interior

 The polygon is a closed curve. The angles formed by a polygon within are called interior angles.

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MCQ 1421 Mark
Two intersecting lines cannot be parallel to the same line is stated in the form of:
  • An axiom
  • B
    A definition
  • C
    A postulate
  • D
    A proof
Answer
Correct option: A.
An axiom
This is an axiom.
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MCQ 1431 Mark
The graphical representation of the pair of equations $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$ is:
  • A
    Intersecting lines
  • Parallel lines
  • C
    Coincident lines
  • D
    All the above
Answer
Correct option: B.
Parallel lines

$x + 2y - 4 = 0....(i)$ and $2y + 4y - 12 = 0.....(ii)$
Slope of $(i) = \text{m}_1=\frac{1}{2}$
Slope of $(ii) \text{m}_2=\frac{2}{4}=\frac{1}{2}\text{m}_1=\text{m}_2$
Therefore lines are parallel.

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MCQ 1441 Mark
A perpendicular drawn from a vertex to the opposite side of a triangle is known as:
  • An altitude.
  • B
    A median.
  • C
    An angle bisector.
  • D
    A bisector.
Answer
Correct option: A.
An altitude.

An altitude is defined as the perpendicular drawn from a vertex to the opposite side of a triangle.

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MCQ 1451 Mark
A circle of radius $r \ cm$ has a diameter of length:
  • A
    $r \ cm$
  • $2r \ cm$
  • C
    $4r \ cm$
  • D
    $\frac{\text{r}}{2}\text{cm}$
Answer
Correct option: B.
$2r \ cm$

 Diameter $= 2x$ radius

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MCQ 1461 Mark
A chord of a circle passing through its centre is equal to its:
  • A
    Radius.
  • Diameter.
  • C
    Circumference.
  • D
    None of these.
Answer
Correct option: B.
Diameter.
Diameter.
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MCQ 1471 Mark
There are ____ number of polygons:
  • Infinite
  • B
    Finite
  • C
    Four
  • D
    Three
Answer
Correct option: A.
Infinite

 We classify the polygons by their number of sides.
So, it can be any number only it should have line segments and it should be a closed figure.

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MCQ 1481 Mark
The number of degrees in $2$ right angles is:
  • A
    $90^\circ$
  • $180^\circ$
  • C
    $270^\circ$
  • D
    $360^\circ$
Answer
Correct option: B.
$180^\circ$

 Since, $1$ right angle $= 90^\circ $
Therefore, $2$ right angles $= 90^\circ \times 2 = 180^\circ $

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MCQ 1491 Mark
By joining any two points on a circle, we obtain its:
  • A
    Radius.
  • B
    Diameter.
  • Chord.
  • D
    Circumference.
Answer
Correct option: C.
Chord.
Chord.
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MCQ 1501 Mark
The two angles of a triangle are complementary. The third angle is:
  • A
    $60^\circ$
  • B
    $45^\circ$
  • C
    $36^\circ$
  • $90^\circ$
Answer
Correct option: D.
$90^\circ$

$\therefore$ A triangle has $180^\circ $ and if two angles are complementary i.e. sum of two angles is $90^\circ ,$ then third angle will be $180^\circ - 90^\circ = 90^\circ .$

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M.C.Q. [1 Marks Each] - Page 3 - MATHS STD 6 Questions - Vidyadip