MEDIUM

JEE Main

IMPORTANT

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In an isosceles triangle $A B C$ , the coordinates of the points $B$ and $C$ on the base $B C$ are $(1, 2)$ and $(2, 1)$ , respectively. If the equation of the line $A B$ is $y = 2 x,$ then the equation of the line $A C$ is

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Important Questions on Straight Lines

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 4

If the coordinates of the points

A, B

and

C

are

(- 1, 5), (0, 0)

and

(2, 2)

, respectively, and

D

is the middle point of

B C

, then the equation of the perpendicular drawn from

B

to the line

A D

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 5

Two lines are drawn through $(3, 4)$ , each of which makes an angle of $45 °$ with the line $x - y = 2$ . Then, the area of the triangle (in sq. units) formed by these lines is

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 6

The line

y = 2 x + 4

is shifted by two units along the positive

y

-axis, keeping parallel to itself and then, by one unit along the positive

x

-axis direction in the same manner. Then, the equation of the line in its new position is

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 7

A ray of light passes through the points

A (2, 3)

reflected at a point

B

on the line

x + y = 0

and then, passes through

(5, 3)

. Then the coordinates of

B

are

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 8

If the transversal

y = m_{r} x;

r = 1, 2, 3

cut off equal intercepts on the transversal

x + y = 1

, then

1 + m_{1}, 1 + m_{2}, 1 + m_{3}

are in

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 9

If the straight line

y = x - 2

rotates about a point, where it cuts the

x

-axis, and becomes perpendicular to the straight line

a x + b y + c = 0

, then its equation is

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 10

The two adjacent sides of a parallelogram are

y = 0

and

y = \sqrt{3} (x - 1)

. If the equation of one diagonal is

\sqrt{3} y = (x + 1)

, then the equation of the other diagonal is

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 2 - Straight Lines>DPP>Q 11

A (3, 0)

and

B (6, 0)

are two fixed points and

U (x_{1}, y_{1})

is a variable point of the plane.

A U

and

B U

meet the

y

-axis at

C

and

D

, respectively, and

A D

meets

O U

V

. Then, for any position of

U

in the plane,

C V

passes through a fixed point

(p, q)

whose distance from the origin is (where

O

is the origin):

In an isosceles triangle ABC, the coordinates of the points B and C on the base BC are (1 , 2) and (2 , 1), respectively. If the equation of the line AB is y=2x, then the equation of the line AC is

Important Questions on Straight Lines

Learn and Prepare for any exam you want !

In an isosceles triangle $A B C$ , the coordinates of the points $B$ and $C$ on the base $B C$ are $(1, 2)$ and $(2, 1)$ , respectively. If the equation of the line $A B$ is $y = 2 x,$ then the equation of the line $A C$ is