Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 6

MEDIUM

JEE Main

IMPORTANT

Earn 100

Find the tangent of the angle between the lines which have intercepts $3, 4$ and $1, 8$ on the $x$ -axis, and $y$ -axis respectively.

Important Questions on Straight Lines

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 7

Find the tangent of the angle between the lines whose intercepts on the axes are respectively,

p, - q

and

q, - p

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 8

Find the angle between the line joining the points

(2, 0), (0, 3)

and the line

x + y = 1

.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 9

The line through

(4, 3)

and

(- 6, 0)

intersects the line

5 x + y = 0

. Find the angles of intersection.

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 10

Prove that the lines

\frac{x}{a} + \frac{y}{b} = 1

and

\frac{x}{b} - \frac{y}{a} = 1

are perpendicular to each other.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 11

Show that the line joining

(2, - 3)

and

(- 1, 2)

is perpendicular to the line joining

(3, 7)

and

(- 2, 4)

EASY

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 12

A line passing through the points

(a, 2 a)

and

(- 2, 3)

is perpendicular to the line

4 x + 3 y + 5 = 0

; find the value of

a

.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 13

Show that the coordinates of the vertices of an equilateral triangle cannot be all integers.

MEDIUM

JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 2 - Straight Lines>2.7>Q 14

Prove that the line $k^{2} x + k y + 1 = 0$ is perpendicular to the line $x - k y = 1$ for all real values of $k (\neq 0)$ ̣.