Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaMedium2 minQB

MathematicsMediumsingle choice

Find the locus of a point from which tangents to $y^{2} = 4 x + 4$ and $y^{2} = 8 x + 16$ are perpendicular.

Answer:

Solution:

Write the two tangents with slopes $m_{1}, m_{2}$ and use $m_{1} m_{2} = - 1$ . Eliminating the slopes gives $x + 3 = 0$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 2mℹ️ Source: QB

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