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Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaHard3 minQB

MathematicsHardinteger

From variable point $P$ , two tangents to $y^{2} = 4 a x$ meet the coordinate axes in four concyclic points. If the locus of $P$ is $x = λa$ , find $λ$ .

Answer:

Solution:

For tangent parameters $t_{1}, t_{2}$ , cyclicity of axis intercepts yields $t_{1} t_{2} = 2$ , and the tangent intersection has abscissa $a$ , so $λ = 1$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 3mℹ️ Source: QB

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