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 27

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MHT-CET

IMPORTANT

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If one of the lines given by $a x^{2} + 2 h x y + b y^{2} = 0$ bisects the angle between coordinate axes in the positive quadrant, then

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Important Questions on Pair of Straight Lines

HARD

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 28

One of the line represented by the equation

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

bisects an angle between the co-ordinate axes if

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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 29

If the equation

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

has one line as the bisector of angle between the co-ordinate axes, then

HARD

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 30

If the lines represented by the equation

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

makes angles

α

and

β

with

X

-axis, then

\cot^{2} α + \cot^{2} β =

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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 31

If the lines represented by the equation

a x^{2} - b x y - y^{2} = 0

makes angles

α

and

β

with the

X

-axis, then

\tan (α + β) =

HARD

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 32

If

(a + 3 b) (3 a + b) = 4 h^{2}

, then the angle between the lines represented by

a x^{2} + 2 h x y + b y^{2} = 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 33

The angle between the lines represented by the equation

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

, is

HARD

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 34

The angle between the lines represented by the equation

(x^{2} + y^{2}) \sin θ + 2 x y = 0

is

HARD

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 35

The angle between the lines represented by the equation

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

will be

45 °

, if