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

EASY

JEE Main/Advanced

IMPORTANT

Earn 100

The diagonal of the rectangle formed by the lines $x^{2} - 7 x + 6 = 0$ and $y^{2} - 14 y + 40 = 0$ is :

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Important Questions on Pair of Straight Lines

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 11

The circumcentre of the triangle formed by the lines,

x y + 2 x + 2 y + 4 = 0

and

x + y + 2 = 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 12

Equation of a pair of straight lines drawn through

(1, 1)

and perpendicular to the pair of lines

3 x^{2} - 7 x y + 2 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 13

If

α, β > 0

and

α < β

and

α x^{2} + 4 γ x y + β y^{2} + 4 p (x + y + 1) = 0

represents a pair of straight lines, then :

MEDIUM

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice I>Q 14

The image of the pair of lines represented by

a x^{2} + 2 h x y + b y^{2} = 0

by the line mirror

y = 0

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 15

The sum of the slopes of the lines represented by

4 x^{2} + 2 h x y - 7 y^{2} = 0

is equal to the product of the slopes, then

h =

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 3 - Pair of Straight Lines>Multiple Choice II>Q 1

The equation of image of pair of lines

y = |x - 1|

in

y

-axis is :

EASY

JEE Main/Advanced

IMPORTANT

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

If the two lines represented by

x^{2} (\tan^{2} θ + \cos^{2} θ) - 2 x y \tan θ + y^{2} \sin^{2} θ = 0

make angles

α, β

with the

x

-axis, then :

EASY

JEE Main/Advanced

IMPORTANT

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

The equation

a x^{2} + b y^{2} + c x + c y = 0

represents a pair of straight lines, if :