Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 5 - Parabola>DPP>Q 10

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JEE Main

IMPORTANT

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Tangents are drawn from $P (- 2, 0)$ to $y^{2} = 8 x$ . Radius of circle(s) that would touch these tangents and the corresponding chord of contact can be equal to

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Important Questions on Parabola

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 5 - Parabola>DPP>Q 11

Given a parabola

y^{2} = 4 a x

and the points

A (a t^{2}, 2 a t), B (a t^{- 2}, - 2 a t^{- 1}), C (\frac{4 a}{t^{2}}, \frac{4 a}{t})

and

D (a {(t + \frac{2}{t})}^{2}, - 2 a (t + \frac{2}{t}))

, choose all the correct alternatives.

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 5 - Parabola>DPP>Q 12

If a parabola touches the lines

y = x

and

y = - x

at

P (3, 3)

and

Q (2, - 2)

respectively, then