Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaMedium3 minQB

MathematicsMediumsingle choice

Find the common tangent to $y = x^{2}$ and $y = x^{2} - 2 x + 2$ .

Answer:

Solution:

A tangent to $y = x^{2}$ is $y = m x - m^{2} /4$ . Tangency to the second parabola gives $m = 1$ , hence $4 x - 4 y - 1 = 0$ .

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 3mℹ️ Source: QB

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