Conic Sections Question 511

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

[MP PET 2003]

Options:

A) (6, 2)

B) (-2, -6)

C) (3, 18)

D) (2, 6)

Show Answer

Answer:

Correct Answer: D

Solution:

Let $ y=3x $ , then $ {{(3x)}^{2}}=18x $

therefore $ 9x^{2}=18x $

therefore $ x=2 $ and $ y=6. $