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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaMedium2 minQB

MathematicsMediumsingle choice

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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Solution:

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

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 2mℹ️ Source: QB

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