Question

The points on the parabola $y^2=36x$ whose ordinate is three times the abscissa 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 $9x_1^2={36}_{x_1}$
$\Rightarrow x_1=4,0\Rightarrow y_1=12,0$
Hence the points are (0, 0) and (4, 12).