The point P on the parabola y 2 = 4 a x for which ∣ PR − PQ ∣ is maximum, where R = ( − a , 0 ) , Q = ( 0 , a ) . is

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TestHub · Accepted Answer

We know that any side of the triangle is more than the difference of the remaining two sides so that $∣ PR - PQ ∣ \leq RQ$

The required point P will be the point of intersection of the line RQ with parabola which is ( $a, 2 a$ ) as PQ is a tangent to the parabola

Mathematics - Parabola Question with Solution | TestHub