Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 2

EASY

JEE Main/Advanced

IMPORTANT

Earn 100

The area of the triangle formed by the lines $4 x^{2} - 9 x y - 9 y^{2} = 0$ and $x = 2$ is equal to :

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Important Questions on Pair of Straight Lines

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 3

The four straight lines given by the equations

12 x^{2} + 7 x y - 12 y^{2} = 0

and

12 x^{2} + 7 x y - 12 y^{2} - x + 7 y - 1 = 0

lie along the sides of a :

MEDIUM

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 4

Number of points lying on the line

7 x + 4 y + 2 = 0

which is equidistant from the lines

15 x^{2} + 56 x y + 48 y^{2} = 0

is:

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 5

Distance between the parallel lines

4 x^{2} + 20 x y + 25 y^{2} + 2 x + 5 y - 12 = 0

is :

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 6

Orthocentre of the triangle formed by the lines

x y - 3 x - 5 y + 15 = 0

and

3 x + 5 y = 15

is :

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 7

Equation of pair of lines passing through origin and point of intersection of

x^{2} + 2 y^{2} = 4

and

x + y = 1

is :

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 8

The point of intersection of the two lines given by

2 x^{2} - 5 x y + 2 y^{2} - 3 x + 3 y + 1 = 0

is:

MEDIUM

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 9

If

x^{2} - 3 x y + λ y^{2} + 3 x - 5 y + 2 = 0

represents a pair of straight lines and $\theta$ is the angle between them, then

{cosec}^{2} θ

is equal to :

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 10

The diagonal of the rectangle formed by the lines

x^{2} - 7 x + 6 = 0

and

y^{2} - 14 y + 40 = 0

is :