Let P and Q be distinct points on the parabola y = 2r 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 OPQ is 3/2, then which of the following is (are) the coordinates of P ?

Let P and Q be distinct points on the parabola y = 2r 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 OPQ is 3/2, then which of the following is (are) the coordinates of P ?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.1: Parabolas

Problem 34E

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Question

Choose the correct option.

(a)(4,2√2)

(b)(9,3√2)

(c)(1/4,1/√2)

(d)(1,√2)

Let P and Q be distinct points on the parabola y = 2r 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 OPQ is 3/2, then which of the
following is (are) the coordinates of P ?

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