RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 37

HARD

RRC Group D CBT

IMPORTANT

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Which of the following equations represents a pair of coincident lines?

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Important Questions on Pair of Straight Lines

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 38

The angle between the lines

3 x^{2} + 4 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 39

If

x y + 2 x - 3 y - k = 0

represents a pair of straight lines, then

k =

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 40

If

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

represents a pair of lines the

k =

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 41

The angle between the lines

x^{2} + 4 \sqrt{2} x y + 5 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 42

If the slope of one of the lines of the equation

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

is three times the other, then

MEDIUM

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IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 43

The combined equation of the co-ordinate axes is

MEDIUM

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 44

If the acute angle between

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

is

\frac{π}{6}

then

HARD

RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 45

If the equation

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

represents a pair of perpendicular lines, then

a

and

c

are