The Straight Lines - CBSE STD 11 Science Maths Questions

Q 1M.C.Q (1 Marks)1 Mark

Three vertices of a parallelogram taken in order are (-1, -6), (2, -5) and (7, 2). The fourth vertex is:

A
(1, 4)
✓
(4, 1)
C
(1, 1)
D
(4, 4)

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark

The point which divides the join of (1, 2) and (3, 4) externally in the ratio 1 : 1:

A
Lies in the III quadrant.
B
Lies in the II quadrant.
C
Lies in the I quadrant.
✓
Cannot be found.

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark

$L$ is a variable line such that the algebraic sum of the distances of the points $(1, 1), (2, 0)$ and $(0, 2)$ from the line is equal to zero. The line $L$ will always pass through:

✓
$(1, 1)$
B
$(2, 1)$
C
$(1, 2)$
D
none of these.

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark

The acute angle between the medians drawn from the acute angles of a right angled isosceles triangle is:

A
$\cos^{-1}\big(\frac{2}{3}\big)$
✓
$\cos^{-1}\big(\frac{3}{4}\big)$
C
$\cos^{-1}\big(\frac{4}{5}\big)$
D
$\cos^{-1}\big(\frac{5}{6}\big)$

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark

The medians AD and BE of a triangle with vertices A(0, b), B(0, 0) and C(a, 0) are perpendicular to each other, if

A
$\text{a}=\frac{\text{b}}{2}$
B
$\text{b}=\frac{\text{a}}{2}$
C
$\text{ab}=1$
✓
$\text{a}=\pm\sqrt{2}\text{b}$

Answer: D.

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Q 61 Marks Question1 Mark

Write the coordinates of the orthocentre of the triangle formed by the lines $x^2 - y^2 = 0$ and $x + 6y = 18.$

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Q 71 Marks Question1 Mark

Write the locus of a point the sum of whose distances from the coordinates axes is unity.

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Q 81 Marks Question1 Mark

Determine the distance between the following pair of parallel lines:
$4x - 3y - 9 = 0$ and $4x - 3y - 24 = 0$

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Q 91 Marks Question1 Mark

Find the equation of the straight line which passes through (1, -2) and cuts off equal intercepts on the axes.

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Q 101 Marks Question1 Mark

Write the integral values of m for which the x-coordinate of the point of intersection of the lines y = mx + 1 and 3x + 4y = 9 is an integer.

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Q 112 Marks Questions2 Marks

Classify the following pairs of lines as coincident, parallel or intersecting:
2x + y - 1 = 0 and 3x + 2y + 5 = 0

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Q 122 Marks Questions2 Marks

Find the equation of a straight line:
with slope $\frac{-1}{3}$ and y-intercept -4.

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Q 132 Marks Questions2 Marks

Find the equation of a line passing through $(3, -2)$ and perpendicular to the line $x - 3y + 5 = 0.$

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Q 142 Marks Questions2 Marks

Find the equation of a line making an angle of 150° with the x-axis and cutting off an intercept 2 from y-axis.

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Q 152 Marks Questions2 Marks

Find the equation of the straight line intersecting y-axis at a distance of $2$ units above the origin and making an angle of $30^\circ$ with the positive direction of the x-axis.

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Q 163 Marks Question3 Marks

Find the equation of the straight line which makes a triangle of area $96\sqrt{3}$ with the axes and perpendicular from the origin to it makes an angle of 30° with Y-axis.

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Q 173 Marks Question3 Marks

Find the equations of the sides of the triangles the coordinates of whose angular points are respectively:
(1, 4), (2, -3) and (-1, -2)

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Q 183 Marks Question3 Marks

Find the area of the triangle formed by the lines:
$y = m_1x + c_1, y = m_2x + c_2$ and $x = 0$

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Q 193 Marks Question3 Marks

Find the orthocentre of the triangle the equations of whose sides are x + y = 1, 2x + 3y = 6 and 4x - y + 4 = 0.

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Q 203 Marks Question3 Marks

Prove that the lines $\sqrt{3}\text{x}+\text{y}=0,\sqrt{3}\text{y}+\text{x}=0,\sqrt{3}\text{x}+\text{y}=1$ and $\sqrt{3}\text{y}+\text{x}=1$ form a rhombus.

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Q 215 Marks Questions5 Marks

Find the equations of the two straight lines through (1, 2) forming two sides of a square of which 4x + 7y = 12 is one diagonal.

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Q 225 Marks Questions5 Marks

Find the equation of the straight line passing through the point of intersection of the lines 5x - 6y - 1 = 0 and 3x + 2y + 5 = 0 and perpendicular to the line 3x - 5y + 11 = 0

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Q 235 Marks Questions5 Marks

Find the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x + 3y = 6 which is intercepted between the axes.

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Q 245 Marks Questions5 Marks

Find the equation of a straight line passing through the point of intersection of 2x - 7y + 11 = 0 and x + 3y - 8 = 0 and is parallel to (i) x-axis (ii) y-axis.

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Q 255 Marks Questions5 Marks

Find the area of the triangle formed by the lines:
$x + y - 6 = 0, x - 3y - 2 = 0$ and $5x - 3y + 2 = 0$

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The Straight Lines questions

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The Straight Lines Maths - The Straight Lines

The Straight Lines question types

The Straight Lines questions

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