Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaGeneralMedium3 minQB

MathematicsMediuminteger

Let $A = (t, t^{2})$ on $y = x^{2}$ and let its image in $x + y = 1$ be $(a, b)$ . The image locus is $x^{2} + y = k y$ . Find $k$ .

Answer:

Solution:

Reflection gives $a + t + b + t^{2} = 2$ and $(b - t^{2}) / (a - t) = 1$ . Elimination yields $a^{2} + b = 2 b$ , so $k = 2$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:General

⏱ 3mℹ️ Source: QB

Loading discussions...