Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 76

HARD

JEE Advanced

IMPORTANT

Earn 100

If the line $y = x \tan θ$ cuts the curve $x^{3} + x y^{2} + 2 x^{2} + 2 y^{2} + 3 x + 1 = 0$ at the points $A, B$ and $C$ . If $O A, O B$ and $O C$ are in $HP$ , then $\tan θ$ is equal to

50% studentsanswered this correctly

Important Questions on Straight Line and Pair of Straight Lines

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 77

If

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

represents a pair of straight lines equidistant from the origin, then

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 78

Which of the following pairs of straight lines intersect at right angles?

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 79

If one of the lines of the pair

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

bisects the angles between positive directions of the axes, then

a, b

and

h

satisfy the relation

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 80

If the straight lines

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

intersect on the

X -

axis, then

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 81

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 = 10

lie along the sides of a

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 82

Area of the triangle formed by the lines

y^{2} - 9 x y + 18 x^{2} = 0

and

y = 9,

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 83

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

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 84

The value of

λ

for which the lines joining the point of intersection of curves

C_{1}

and

C_{2}

to the origin are equally inclined to the

X

-axis, where

C_{1} : λ x^{2} + 3 y^{2} - 2 λ x y + 9 x = 0

and

C_{2} : 3 x^{2} - 4 y^{2} + 8 x y - 3 x = 0,

is