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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
If the chord joining the points $P_1(x_1,y_1)$ and $P_2(x_2,y_2)$ on the parabola $y^2 = 12x$ subtends a right angle at the vertex of the parabola, then $x_1x_2 - y_1y_2$ is equal to
Solution
$(x_1,y_1) = (3t_1^2, 6t_1),; (x_2,y_2) = (3t_2^2, 6t_2)$
$t_1t_2 = -4$
$x_1x_2 = 9(t_1t_2)^2,; y_1y_2 = 36t_1t_2$
$x_1x_2 - y_1y_2 = 9(16) - 36(-4)$
$= 144 + 144 = 288$
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