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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2020 (9-Sep Shift-1)>Q 14

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Let $A (1, 2), B (4, - 4), C (2, 2 \sqrt{2})$ be points on the parabola $y^{2} = 4 x .$ If $α$ and $β$ respectively represent the area of $Δ A B C$ and the area of the triangle formed by the tangents at $A, B, C$ to the above parabola, then $α β =$

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Important Questions on Parabola

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET - 5 August 2021 Shift 1>Q 1

If

a x^{2} + 2 h x y + b y^{2} - 82 x + 98 y + 144 = 0

is the equation of a parabola with focus

(2, - 3)

and directrix

3 x - 2 y + 5 = 0,

then

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

represents

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET - 5 August 2021 Shift 1>Q 2

If a parabola having horizontal axis and passes through the points $(- 2, 1), (1, 2)$ and $(- 1, 3)$ then the $y$ -coordinate of the focus of that parabola is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2021 (04-Aug Shift-1)>Q 3

A point on the parabola whose focus and vertex are respectively at

(\frac{5}{4}, - 2)

and

(1, - 2)

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2021 (04-Aug Shift-1)>Q 4

The parametric equations of the parabola

y^{2} - 4 x - 8 y - 12 = 0

are

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Parabola>TS EAMCET 2021 (04-Aug Shift-2)>Q 5

Match the items given in List-A with those of the items of List-B

	List-A		List-B
(A)	The vertex of the parabola $y^{2} + 4 x - 2 y + 3 = 0$ is	(I)	$(\frac{5}{4}, 1)$
(B)	The vertex of the parabola $x^{2} + 8 x + 12 y + 4 = 0$ is	(II)	$(1, \frac{5}{4})$
(C)	The focus of the parabola $y^{2} - x - 2 y + 2 = 0$ is	(III)	$(\frac{- 1}{2}, 1)$
(D)	The focus of the parabola $x^{2} - 2 x - 8 y - 23 = 0$ is	(IV)	$(1, - 1)$
		(V)	$(- 4, 1)$