If the lines represented by the equation 2 x 2 - p x y + 2 y 2 = 0 are real then the value of ' p ' lies in the interval

( - ∞ , - 4 ) ∪ ( 4 , ∞ )

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2021 (19-Aug Forenoon)>Q 8

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IMPORTANT

Earn 100

The equation of the pair of straight lines perpendicular to the pair $2 x^{2} + 3 x y + 2 y^{2} + 10 x +$ $5 y = 0$ and passing though the origin is______

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Important Questions on Pair of Straight Lines

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2021 (19-Aug Forenoon)>Q 9

If the centroid of the triangle formed by the lines

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

and

x + y = k

is

(\frac{1}{18}, \frac{11}{18})

, then the value of

' k'

equals_____

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2021 (19-Aug Forenoon)>Q 10

If

' m_{1}'

and

' m_{2}'

,

(m_{1} > m_{2})

are the slopes of the lines represented by

5 x^{2} - 8 x y + 3 y^{2} = 0

, then

m_{1} : m_{2}

equals

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2021 (19-Aug Forenoon)>Q 11

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

\frac{a + b}{h} + \frac{8 h^{2}}{a b}

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET - 20 Aug 2021 Forenoon>Q 12

If the lines, joining the origin to the points of intersection of the curve

2 x^{2} - 2 x y + 3 y^{2} + 2 x - y - 1 = 0

and the line

x + 2 y = k

, are at right angles, then

k^{2}

equals

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AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET - 20 Aug 2021 Afternoon>Q 13

If one of the lines represented by

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

passes through

(2, 3)

and the other passes through

(4, 5)

, then

a + 2 h + b

equals

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2020 (Sep-23 Shift-1)>Q 14

If the line

y = m x

is one of the bisectors of

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

then value of

2 m =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2020 (Sep-23 Shift-1)>Q 15

Statement-I: Two lines which pass through a given fixed point and are equally inclined to two other lines passing through the same point, are always perpendicular to each other.
Statement-II: Angle bisectors of two intersecting lines are always perpendicular to each other.

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 8 - Pair of Straight Lines>AP EAPCET 2018 (25-APR Shift-1)>Q 16

If the straight line