The points on the parabola y^2 = 36x whose ordinate is three time… - Vidyadip

MCQ

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

✓
$(0, 0), (4, 12)$
B
$(1, 3), (4, 12)$
C
$(4, 12)$
D
None of these

✓

Answer

Correct option: A.

$(0, 0), (4, 12)$

a
(a) ${y_1} = 3{x_1}$.

According to given condition $9x_1^2 = 36{x_1}$

==> ${x_1} = 4,0$

==> ${y_1} = 12,0$

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

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