EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Parabola>JEE Main - 1 February 2023 Shift 2>Q 99

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JEE Main

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Two parabolas have the same focus $(4, 3)$ and their directrices are the $x$ axis and the $y$ axis respectively. If these parabolas intersects at points $A$ and $B$ , then $(A B)^{2}$ is equal to

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Important Questions on Parabola

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Parabola>JEE Main - 1 February 2023 Shift 2>Q 100

Let y ² = 12 x the parabola and S be its focus . Let PQ be a focal chord of the parabola such that (SP) (SQ) = \frac{147}{4} . Let C be the circle described taking PQ as a diameter . If the equation of a circle C is 64 x ² + 64 y ² - ax - 64 \sqrt{3} y = β, then β - a is equal to______.

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JEE Main

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Parabola>JEE Main - 1 February 2023 Shift 2>Q 101

Let A and B be the two points of intersection of the line y+ 5=0 and the mirror image of the parabola y²= 4x with respect to the line x + y + 4=0. If d denotes the distance between A and B, and a denotes the area of

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SAB, where S is the focus of the parabola y²= 4x, then the vlaue of (a + d) is _____.