The points on the parabola y 2 = 36 x whose ordinate is three times the absicca are Options: A . &nbsp (0, 0), (4, 12) B . &nbsp (1, 3), (4, 12) C . &nbsp (4, 12) D . &nbsp None of these

Answer: Option A : A y 1 = 3 x 1 . According to given condition 9 x 2 1 = 36 x 1 ⇒ x 1 = 4 , 0 ⇒ y 1 = 12 , 0 Hence the points are (0,0) and (4,12).

The points on the parabola y2=36x whose ordinate is three times the absicca ar

Question -

The points on the parabola $y^{2} = 36 x$ whose ordinate is three times the absicca are

Options:

A . (0, 0), (4, 12)

B . (1, 3), (4, 12)

C . (4, 12)

D . None of these

Answer: Option A
:
A

$y_{1} = 3 x_{1}$ . According to given condition $9 x_{1}^{2} = 36 x_{1}$

$\Rightarrow x_{1} = 4, 0 \Rightarrow y_{1} = 12, 0$

Hence the points are (0,0) and (4,12).

Was this answer helpful ?

Next Question