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Maths M.C.Q (1 Marks)

P-2 Co-ordinate Geometry · Maharashtra Board STD 10 (MSBSHSE - English Medium). 28 questions.

Questions

M.C.Q (1 Marks)

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28 questions · 20 auto-graded MCQ + 8 self-marked written.

MCQ 11 Mark
Fill in the blanks using correct alternatives.
A line makes an angle of 30° with the positive direction of X- axis. So theslope of the line is .......... .
  • A
    $\frac{1}{2}$
  • B
    $\frac{\sqrt{3}}{2}$
  • ✓
    $\frac{1}{\sqrt{3}}$
  • D
    $\sqrt{3}$
Answer
Correct option: C.
$\frac{1}{\sqrt{3}}$
Slope = tangent of angle formed with positive x-axis
Slope = tan30° = $\frac{1}{\sqrt{3}}$
Hence answer is C
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MCQ 21 Mark
Fill in the blanks using correct alternatives. Distance of point $(-3,4)$ from the origin is $...... .$
  • A
    $7$
  • B
    $1$
  • ✓
    $5$
  • D
    $-5$
Answer
Correct option: C.
$5$
According to the distance formula, the distance $'d\ '$ between two points $(a,b)$ and $(c,d)$ is given by
$d=\sqrt[2]{(a-c)^2+(b-d)^2}...(1) $
$d=\sqrt{(-3-0)^2+(4-0)^2}=5$
Therefore answer is $C$
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Question 31 Mark
Fill in the blanks using correct alternatives.
Out of the following, point ........ lies to the right of the origin on X- axis.
A. (-2,0)
B. (0,2)
C. (2,3)
D. (2,0)

Answer
To be on the X-axis, it's y coordinate = 0


And to be on the right of the origin, its x coordinate must be positive.


A. y is 0 but x is negative


B. y is not 0


C. y is not 0


D. y is 0 and x is positive.


Therefore the answer is D

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Question 41 Mark
Fill in the blanks using correct alternatives.
Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be ........ .
A. (3,1)
B. (5,3)
C. (3,0)
D. (1,-3)

Answer
To be parallel to y-axis, it's x coordinate should remain the same. i.e. 1 and y coordinate can change.


A. x coordinate has changed.


B. x coordinate has changed.


C. x coordinate has changed.


D. x coordinate is same.


Therefore the answer is D.

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MCQ 51 Mark
In what ratio does the point (1, 6) divide the line segment joining the points (3, 6) and (-5, 6).
  • ✓
    $1: 3$
  • B
    $2: 3$
  • C
    $3: 1$
  • D
    $3: 2$
Answer
Correct option: A.
$1: 3$
$1: 3$
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MCQ 61 Mark
Find the co-ordinates of the point which divides line seg QR in the ratio 1:2 where Q (1, 1) and R(1,-2).
  • A
    (-5, 3)
  • B
    (1, 0)
  • C
    (-3, 2)
  • D
    (4, 0)
Answer
$(1,0)$
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MCQ 71 Mark
Find the co-ordinates of the point P which bisects seg having co-ordinates (3, 2) and (5, -2) __________ .
  • A
    (-3, 5)
  • B
    (0,4)
  • C
    (4,0)
  • D
    (5, -3)
Answer
$(4,0)$
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MCQ 81 Mark
Distance of point A (7, 24) from the origin is _______ .
  • A
    17
  • B
    $-17$
  • ✓
    25
  • D
    Can not be found
Answer
Correct option: C.
25
25
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MCQ 111 Mark
What is slope of line passing through points (4, 6) and (1, -2).
  • A
    $\frac{4}{3}$
  • B
    $\frac{3}{4}$
  • C
    $\frac{8}{5}$
  • ✓
    $\frac{8}{3}$
Answer
Correct option: D.
$\frac{8}{3}$
$\frac{8}{3}$
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MCQ 121 Mark
Line $l$ is parallel to line m. It slopes of Line $l$ is $\frac{1}{2}$ then slope of line m is _______ .
  • A
    $-2$
  • B
    $0$
  • ✓
    $\frac{1}{2}$
  • D
    Can't say
Answer
Correct option: C.
$\frac{1}{2}$
$\frac{1}{2}$
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MCQ 141 Mark
What is the slope of line with indination 60?
  • ✓
    $\sqrt{3}$
  • B
    $\frac{1}{\sqrt{3}}$
  • C
    1
  • D
    $0$
Answer
Correct option: A.
$\sqrt{3}$
$\sqrt{3}$
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MCQ 161 Mark
Distance of point (-3,4) from the origin is ......
Answer
Correct option: C.
C
According to the distance formula, the distance ' $d$ ' between two points $(a, b)$ and $(c, d)$ is given by
$\begin{array}{l}
d=\sqrt[2]{(a-c)^2+(b-d)^2} \ldots . .(1) \\
d=\sqrt{(-3-0)^2+(4-0)^2}=5
\end{array}$
Therefore answer is $C$
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MCQ 171 Mark
Out of the following, point ........ lies to the right of the origin on X- axis.
Answer
DTo be on the X-axis, it's y coordinate = 0
And to be on the right of the origin, its x coordinate must be positive.
A. y is 0 but x is negative
B. y is not 0
C. y is not 0
D. y is 0 and x is positive.
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MCQ 181 Mark
Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be ........ .
Answer
Correct option: D.
D
To be parallel to y-axis, it's x coordinate should remain the same. i.e. 1 and y coordinate can change.
A. x coordinate has changed.
B. x coordinate has changed.
C. x coordinate has changed.
D. x coordinate is same.
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MCQ 191 Mark
What is the slope of line with indination 60?
  • ✓
    $\sqrt{3}$
  • B
    $\frac{1}{\sqrt{3}}$
  • C
    1
  • D
    $0$
Answer
Correct option: A.
$\sqrt{3}$
$\sqrt{3}$
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MCQ 201 Mark
What is slope of line passing through points (4, 6) and (1, -2).
  • A
    $\frac{4}{3}$
  • B
    $\frac{3}{4}$
  • C
    $\frac{8}{5}$
  • ✓
    $\frac{8}{3}$
Answer
Correct option: D.
$\frac{8}{3}$
$\frac{8}{3}$
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MCQ 231 Mark
Line $l$ is parallel to line m. It slopes of Line $l$ is $\frac{1}{2}$ then slope of line m is _______ .
  • A
    $-2$
  • B
    $0$
  • ✓
    $\frac{1}{2}$
  • D
    Can't say
Answer
Correct option: C.
$\frac{1}{2}$
$\frac{1}{2}$
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MCQ 241 Mark
In what ratio does the point (1, 6) divide the line segment joining the points (3, 6) and (-5, 6).
  • ✓
    $1: 3$
  • B
    $2: 3$
  • C
    $3: 1$
  • D
    $3: 2$
Answer
Correct option: A.
$1: 3$
A
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MCQ 261 Mark
Find the co-ordinates of the point which divides line seg QR in the ratio 1:2 where Q (1, 1) and R(1,-2).
  • A
    (-5, 3)
  • ✓
    (1, 0)
  • C
    (-3, 2)
  • D
    (4, 0)
Answer
Correct option: B.
(1, 0)
B
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MCQ 271 Mark
Find the co-ordinates of the point P which bisects seg having co-ordinates (3, 2) and (5, -2) __________ .
  • A
    (-3, 5)
  • B
    (0,4)
  • ✓
    (4,0)
  • D
    (5, -3)
Answer
Correct option: C.
(4,0)
C
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MCQ 281 Mark
Distance of point A (7, 24) from the origin is _______ .
  • A
    17
  • B
    $-17$
  • ✓
    25
  • D
    Can not be found
Answer
Correct option: C.
25
C
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