RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 74

HARD

RRC Group D CBT

IMPORTANT

Earn 100

The value of $k$ such that $3 x^{2} - 11 x y + 10 y^{2} - 7 x + 13 y + k = 0$ may represent a pair of straight lines is

50% studentsanswered this correctly

Important Questions on Pair of Straight Lines

MEDIUM

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 75

The lines represented by the equation

A x^{2} + 2 B x y + H y^{2} = 0

are perpendicular if

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 76

The angle between the lines

2 x^{2} - 7 x y + 3 y^{2} = 0

is

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 77

If

x^{2} - k x y + y^{2} + 2 y + 2 = 0

denotes a pair of lines, then

k =

MEDIUM

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 78

The combined equation of the y-axis and the line

x = 1

is

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 79

The angle between the pair of lines

2 x^{2} - 5 x y + 2 y^{2} + 7 x - 11 y + 5 = 0

is

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 80

The distance between the parallel lines

x^{2} + 2 x y + y^{2} - 6 x - 6 y + 8 = 0

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 81

The slope of one line in the pair

a x^{2} + 4 x y + y = 0

is

3

times the other, then

a

is

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 82

The combined equation through the origin perpendicular to the lines represented by

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

is given by