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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 sqrt 2` , then which of the following is (are) the coordinates of `P?`

A

`(4,2sqrt2)`

B

`(9,3sqrt2)`

C

`(1/4,1/sqrt2)`

D

`(1,sqrt2)`

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

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  14. If the normals of the parabola y^(2)=4x drawn at the end points of its...

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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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  17. The circle C1 : x^2 + y^2 = 3, with center at O, intersects the parabo...

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  18. Let P be the point on the parabola y^(2)4x which is at the shortest di...

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