Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 14

EASY

JEE Main/Advance

IMPORTANT

Earn 100

A line passes through point $(1, 5)$ and cuts off intercept $7$ units on $x -$ axis. Find the slope of the line.

Important Questions on Straight Lines

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 15

Find the equation of the line which passes through the point

(- 4, 3)

and the portion of the line intercepted between the axes is divided internally in the ratio

5 : 3

by this point.

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 16

Find the lengths of the perpendicular segments drawn from the vertex of the triangle with vertices

A (2, 1), B (5, 2)

and

C (4, 4)

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 17

Find the ratio in which the line

3 x + 4 y + 2 = 0

divides the distance between the lines

3 x + 4 y + 5 = 0

and

3 x + 4 y - 5 = 0

.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 18

Find the coordinates of the points which are at a distance of

4 \sqrt{2}

units from the point

(3, 4)

and which lie on the line passing through the point

(3, 4)

and inclined at an angle of

45 °

with positive

x -

axis.

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 19

If the slope of a line passing through point

P (3, 2)

is

\frac{3}{4}

, then find the points on the line which are

5

units away from point

P .

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 20

Two lines cut

x -

axis at distance of

4

units and

- 4

units and

y -

axis at distance of

2

units and

6

units respectively. Find the coordinates of their point of intersection.

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 21

Find the equation of a straight line on which length of perpendicular from the origin is

4

units and the line makes an angle of

120 °

with positive

x -

axis.

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 22

Find all the points on the line

x + y = 4

that lie at a unit distance from the line

4 x + 3 y = 10

.