RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 4

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If $m_{1}$ and $m_{2}$ are the slopes of the individual lines of $a x^{2} + 2 h x y + b y^{2} = 0$ then $m_{1} + m_{2} =$

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Important Questions on Pair of Straight Lines

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RRC Group D CBT

IMPORTANT

RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 5

If

m_{1}

and

m_{2}

are the slopes of the individual lines of

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

then

m_{1} m_{2} =

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 6

The separate equations of the equation

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

are

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 7

The angle between the pair of lines

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

is given by

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 8

The angle between the pair of lines

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

is given by

\tan θ =

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 9

The condition that the pair of lines

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

are at right angles is

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 10

In the equation

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

the condition

h^{2} - a b = 0

implies:

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 11

The acute angle between the pair of lines

\sqrt{3 x^{2}} + \sqrt{3 y^{2}} - 4 x y = 0

is:

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RRC Group D CBT

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RRB Indian Railway Group 'D' Recruitment - General Mathematics>Chapter 13 - Pair of Straight Lines>Exercise 1>Q 12

The angle between the lines

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

is: