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Let P and Q be distinct points on the pa...

Let P and Q be distinct points on the parabola `y^2 = 2x` such that a circle with PQ as diameter passes through the vertex O of the parabola. If P lies in the first quadrant and the area of the triangle `Delta OPQ` is `3 2` , then which of the following is (are) the coordinates of `P?`

A

`(4,2sqrt2)`

B

`(9,3sqrt2)`

C

`(1/4,1/sqrt2)`

D

`(1sqrt2)`

Text Solution

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The correct Answer is:
A, D
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
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  10. Let a, r, s, t be non-zero real numbers. Let P(at^2, 2at), Q, R(ar^2, ...

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  11. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

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  12. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  13. ·If the normals of the parabola y^2=4x drawn at the end points of it...

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  14. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

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  15. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

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  16. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

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  17. The circle C1 : x2 + y2 = 3, with centre at O, intersects the parabola...

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  18. Let P be the point on parabola y^2=4x which is at the shortest distanc...

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  19. The radius of a circle, having minimum area, which touches the curve y...

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