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  • A tangent line L is drawn at the point (3,-6) on the parabola . If the line L is a

A tangent line L is drawn at the point (3,-6) on the parabola \mathrm{y^2=12 x}. If the line L is also tangent to the circle \mathrm{x^2+y^2=b}, then ' \mathrm{b^2} ' is equal to

Option: 1

4.5


Option: 2

3.5


Option: 3

5.5


Option: 4

7.5


Answers (1)

best_answer

\mathrm{\text { Equation of tangent at }(3,-6) \text { to } y^2=12 x \text { is } y=-x-3}    '''[i]

\mathrm{\because \quad \text { (i) is also a tangent to the circle } x^2+y^2=b \text {. }}

\mathrm{\therefore \sqrt{b}=\left|\frac{-3}{\sqrt{1+(-1)^2}}\right| \Rightarrow b=\left|\frac{3}{\sqrt{2}}\right| \Rightarrow b^2=\frac{9}{2}}

Posted by

Gautam harsolia

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