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. $