PN is an ordinate of the parabola $$y2=9x$$ .A straightline is drawn through the $$mid-point$$ M of PN parallelto the axis of the parabola meeting the parabolaat Q. NQ meets the tangent at the vertex A, at apoint T, then $$AT/NP$$ $$=$$

Question

PN is an ordinate of the parabola $$y2=9x$$ .A straightline is drawn through the $$mid-point$$ M of PN parallelto the axis of the parabola meeting the parabolaat Q. NQ meets the tangent at the vertex A, at apoint T, then $$AT/NP$$ $$=$$

Infinity Learn · Accepted Answer

Let P be $$9t2/4$$,$$9t/2$$ then $$NP=9t/2$$.$$MN=9t/4equation$$ of MQ is $$y=9t/4$$ which meets the $$parabolay2=9x$$ at the point $$Q9t2/16$$,$$9t/4$$,N is $$9t2/4$$,$$0equation$$ of NQ is $$y=$$−$$9$$×$$164$$×$$27tx$$−$$94t2$$ which meets the $$tangentx=0$$ (at$$ the vertex $$A) at the point for $$whichy=3t$$ so that $$AT=3t1$$ and  $$ATNP=3t$$×$$29t=23$$.

$P N$ is an ordinate of the parabola $y^{2} = 9 x$ . $A$ straight
line is drawn through the mid-point $M$ of $P N$ parallel
to the axis of the parabola meeting the parabola
at $Q$ . $N Q$ meets the tangent at the vertex $A$ , at a
point $T$ , then $A T / N P =$

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PN is an ordinate of the parabola y2=9x .A straightline is drawn through the mid-point M of PN parallelto the axis of the parabola meeting the parabolaat Q. NQ meets the tangent at the vertex A, at apoint T, then AT/NP =

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Ready to Test Your Skills?

free study material

$P N$ is an ordinate of the parabola $y^{2} = 9 x$ . $A$ straight
line is drawn through the mid-point $M$ of $P N$ parallel
to the axis of the parabola meeting the parabola
at $Q$ . $N Q$ meets the tangent at the vertex $A$ , at a
point $T$ , then $A T / N P =$