If the line $y = 2x + \lambda$ be a tangent to the hyperbola $36x^{2} - 25y^{2} = 3600,$ then $\lambda$ is equal to

Question

Dr. Abubacker · Accepted Answer

(c)
If $y = 2x + \lambda$ is tangent to given hyperbola,
then $\lambda = \pm \sqrt{a^{2}m^{2} - b^{2}}$
$= \pm \sqrt{(100)(4) - 144} = \pm 16\ \lbrack\because a^{2} = 100,\ b^{2} = 14\rbrack$

Q. If the line $y = 2x + \lambda$ be a tangent to the hyperbola $36x^{2} - 25y^{2} = 3600,$ then $\lambda$ is equal to

Explanation

Reviewed by Dr. Abubacker

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