MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 18

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MHT-CET

IMPORTANT

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If slope of one of the lines $a x^{2} + 2 h x y + b y^{2} = 0$ is $5$ times that of the other, then $5 h^{2} =$

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Important Questions on Pair of Straight Lines

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 19

The condition that the gradient of one line is twice the gradient of another line represented by the equation

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

is

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 20

If the slope of one of the line represented by the equation

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

be

λ

times that of the other, then

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 21

If the slope of one of the lines represented by

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

be the square of the other, then

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 22

If

m_{1}, m_{2}

are slopes of lines represented by

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

, then equation of lines passing through origin with slopes

\frac{1}{m_{1}}, \frac{1}{m_{2}}

will be

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IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 23

If two lines

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

are equally inclined with coordinate axes, then

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 24

The magnitude of difference of slopes of the lines represented by the equation

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

is

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 25

The magnitude of difference of the tangents of the angles, which the lines

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

make with the

X

-axis, is

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MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 12 - Pair of Straight Lines>Critical Thinking>Q 26

The equation of the pair of straight lines, each of which makes an angle

α

with the line

y = x

is