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Question

Question: The point on the parabola \(y ^ { 2 } = 18 x\) , for which the ordinate is three times the abscissa...

The point on the parabola y2=18xy ^ { 2 } = 18 x , for which the ordinate is three times the abscissa, is

A

(6, 2)

B

(–2, –6)

C

(3, 18)

D

(2, 6)

Answer

(2, 6)

Explanation

Solution

Given (3x)2=18x( 3 x ) ^ { 2 } = 18 x9x2=18x9 x ^ { 2 } = 18 xx=2x = 2 and y=6y = 6