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If $θ$ is the angle between the tangents to the parabola
$y^{2} = 12 x$ passing through the point (–1, 2)
then $| \tan θ |$ is equal to

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detailed solution

Correct option is A

Equation of any tangent is y=mx+3m whichpasses through (–1, 2) if 2 = −m+3m⇒m2+2m−3=0⇒m=1,−3So |tan⁡θ|=1+31−3=2.

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If θ is the angle between the tangents to the parabolay2=12x passing through the point (–1, 2)then |tan⁡θ| is equal to

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Ready to Test Your Skills?

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If $θ$ is the angle between the tangents to the parabola
$y^{2} = 12 x$ passing through the point (–1, 2)
then $| \tan θ |$ is equal to