EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Afternoon>Q 34

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AP EAPCET

IMPORTANT

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The points $(2, 3, 4), (- 1, - 2, 1)$ and $(5, 8, 7)$ are

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Important Questions on The Straight Line

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2019 (21-Apr Shift-2)>Q 35

Let a triangle

A B C

be inscribed in a circle of radius

2

units. If the

3

bisectors of the angles

A, B

and

C

are extended to cut the circle at

A_{1}, B_{1}

and

C_{1}

respectively, then the value of

{[\frac{A A_{1} \cos \frac{A}{2} + B B_{1} \cos \frac{B}{2} + C C_{1} \cos \frac{C}{2}}{\sin A + \sin B + \sin C}]}^{2} =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2018 (25-APR Shift-1)>Q 36

The circumcentre of the triangle with vertices at

(- 2, 3), (1, - 2)

and

(2, 1)

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Forenoon>Q 37

If the vertices of the triangles are

(1, 2, 3), (2, 3, 1), (3, 1, 2)

and if

H, G, S

and

I

respectively denote its orthocenter, centroid, circumcenter and incenter, then

H + G + S + I =

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2020 (Sep-23 Shift-1)>Q 38

If

S_{1}

and

S_{2}

are two straight lines such that the reflection of

S_{1}

in

S_{2}

and the reflection of

S_{2}

in

S_{1}

coincide, the angle between

S_{1}

and

S_{2}

is equal to?

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2018 (25-APR Shift-1)>Q 39

If

a d - b c \neq 0,

then the area (in sq. units) of the parallelogram formed by the lines

a x + b y + 2 = 0, a x + b y + 5 = 0, c x + d y + 3 = 0

and

c x + d y + 7 = 0

is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET 2021 (19-Aug Forenoon)>Q 40

The line which is parallel to

x

-axis and crosses the curve

y = \sqrt{x}

at an angle

45 °

, is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Forenoon>Q 41

The equation of a straight line which passes through the point

(a \cos^{3} θ, a \sin^{3} θ)

and perpendicular to

x secθ + y c o s e c θ = a

is

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AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>AP EAPCET - 20 Aug 2021 Afternoon>Q 42

Find the equation of a line which passes through

(2 \cos^{3} θ, 2 \sin^{3} θ)

and is perpendicular to the line

x \cos θ - y \sin θ = 2 \cos 2 θ

.