A particle is moving in the xy-plane along a curve C passing through the point 3,3. The tangent to the curve C at the point P meets the x-axis at Q…

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A particle is moving in the xy-plane along a curve C passing through the point 3,3. The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with

MARKS Content Team · Accepted Answer

Correct answer: (A) length of latus rectum 3. Let Point Px,y So equation of line passing through Px,y will be Y-y=mX-x Point on x-axis is given by Qx-y/m,0 Mid-point of PQ lies on y axis so its x co-ordinate will be zero, x-y/m+x=0 m=y/(2·x)⇒2dy/y=dx/x 2lnn=lnx+lnk y^2=kx It passes through 3,3⇒k=3 curve c⇒y^2=3x Length of L.R. =3 Focus=3/4,0

A particle is moving in the $x y$ -plane along a curve $C$ passing through the point $(3, 3)$ . The tangent to the curve $C$ at the point $P$ meets the $x$ -axis at $Q$ . If the $y$ -axis bisects the segment $P Q$ , then $C$ is a parabola with

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