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MathematicsParabolaMiscellaneous/MixedMedium2 min

MathematicsMediumsingle choice

Slope of tangent to $x^{2} = 4 y$ from $(- 1, - 1)$ can be

Answer:

Solution:

$y^{1} = \frac{x}{2} = m$

$\Rightarrow x = 2 m \Rightarrow y = m^{2}$

So equation of tangent is $y - m^{2} = m (x - 2 m)$ which passes through $(- 1, - 1)$ $\Rightarrow - 1 - m^{2} = m (- 1 - 2 m)$

$\Rightarrow m^{2} + m - 1 = 0 \Rightarrow m = \frac{- 1 \pm 5}{2}$

Stream:JEESubject:MathematicsTopic:ParabolaSubtopic:Miscellaneous/Mixed

⏱ 2m

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