Mathematics - Parabola Question with Solution | TestHub

MathematicsParabolaTangent to ParabolaEasy2 minQB

MathematicsEasysingle choice

If at $x = 1, y = 2 x$ tangent to the parabola $y = a x^{2} + b x + c$ , then respective values of a,b,c possible are

Answer:

Solution:

For $x = 1$ , $y = a + b + c$ .

Tangent at $(1, a + b + c)$ is $\frac{1}{2} (y + a + b + c) = a x + \frac{b}{2} (x + 1) + c$ .

Comparing with $y = 2 x$ , we have $a = 2$ , $b = - 2$ , $c = 1$

which are true for choice (1) only.

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Tangent to Parabola

⏱ 2mℹ️ Source: QB

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