Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 5

MEDIUM

JEE Main

IMPORTANT

Earn 100

Find the equation of the line which intercepts a length $2$ on the positive direction of the $x$ -axis and is inclined at an angle of $135 °$ with the positive direction of $y$ -axis.

Important Questions on Straight Lines

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 6

Find the equation of a line which cuts off an intercept

4

on the

x

-axis and has the slope

2

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 6

Write the equation of the line for which

\tan θ = \frac{1}{2}

, where

θ

is the inclination of the line and

y

-intercept

- \frac{3}{2}

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 6

Write the equation of the line for which

\tan θ = \frac{1}{2}

, where

θ

is the inclination of the line and

x

-intercept

4

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 7

The perpendicular from the origin to the line

y = m x + c

meets it at the point

(- 1, 2)

. Find the values of

m

and

c

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 7

The line through

(h, 3)

and

(4, 1)

intersects the line

7 x - 9 y - 19 = 0

at right angle. Find the value of

h

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 7

Find the values of

k

for which the line

(k - 3) x - (4 - k^{2}) y + k^{2} - 7 k + 6 = 0

is parallel to the

x

-axis.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 7

Find the values of

k

for which the line

(k - 3) x - (4 - k^{2}) y + k^{2} - 7 k + 6 = 0

is parallel to the

y

-axis.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.3>Q 7

Find the values of

k

for which the line

(k - 3) x - (4 - k^{2}) y + k^{2} - 7 k + 6 = 0

is passing through the origin.