Question

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

• A. (0, 0), (4, 12)
• B. (1, 3), (4, 12)
• C. (4, 12)
• D. None of these

Answer 1

The correct option is A

(0, 0), (4, 12)

$y_1=3x_1$ . According to given condition $9x_1^2=36x_1$

$\Rightarrow x_1=4,0\Rightarrow y_1=12,0$

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