Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 7

EASY

JEE Main

IMPORTANT

Earn 100

Find the equation of the straight line passing through the point $(3, - 4)$ and cutting off intercepts, equal but of opposite signs, from the axis.

Important Questions on Straight Lines

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 8

A straight line passes through the point

(α, β)

and this point bisects the part of the line intercepted between the axes. Show that the equation of the straight line is

\frac{x}{α} + \frac{y}{β} = 2

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 10

Find the equations to the straight lines which pass through the point

(- 2, 3)

and cut the axes at

A (a, 0)

and

B (0, b)

so that

a + b = 2

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 10

Find the equation of the line passing through the point

(2, 2)

and cutting off intercepts on the axes whose sum is

9

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 11

A straight line passes through the point

(3, - 2)

and this point bisects the portion of the line intercepted between the axes; find the equation of the line.

HARD

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 11

Point

R (h, k)

divides a line segment between the axes in the ratio

1 : 2

. Find the equation of the line.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 12

Find the equation of the line, which passes through

P (1, - 7)

and meets the axes at $A$ and $B$ respectively so that

4 A P - 3 B P = 0

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 13

Find the equation of the straight line which passes through the point

P (2, 6)

and cuts the coordinate axes at the point $A$ and $B$ respectively so that

\frac{A P}{B P} = \frac{2}{3} .

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.4>Q 14

For the straight line

\sqrt{3} y - 3 x = 3

, find the intercepts on the

x

-axis and

y

-axis.