Questions
A point on the parabola at which the ordinate increases at twice the rate of the abscissa is
a
−98,92
b
(2,−4)
c
(2,4)
d
98,92
detailed solution
Correct option is D
y2=18x⇒2ydydx=18⇒dydx=9yWe are given dydx=2so 9y=2⇒y=92and x=118y2⇒x=98and the required point is 98,92Talk to our academic expert!
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The locus of the mid-point of the line segment joining the focus to a moving point on the parabola is another parabola with directrix
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