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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaMedium2 minQB

MathematicsMediumsingle choice

If $2 p^{2} - 3 q^{2} + 4 pq - p = 0$ and a variable line $p x + q y = 1$ always touches a parabola whose axis is parallel to X -axis, then equation of the parabola is

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Answer:

Solution:

The parabola be $(y - a)^{2} = 4 b (x - c)$

Equation of tangent is $(y - a) = - \frac{p}{q} (x - c) - \frac{bq}{p}$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 2mℹ️ Source: QB

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