\[\begin{array}{1 1}(1)(0 , -3)&(2)(2 , 4)\\(3)(-6 , \frac{9}{2})&(4)(\frac{9}{2} ,-6 )\end{array}\]

Want to ask us a question? Click here

Browse Questions

Ad |

0 votes

0 votes

The equation of the parabola is $y^2=8x$

$y^2=4(2) x => a =2$

The equation of the given line is

$2x+3y+9=0$

$3y=-2x-9$

$y= -\large\frac{2}{3} x -\frac{9}{3}$

$y= -\large\frac{2}{3} x$$ -3$

$m=-\large\frac{2}{3} $$x -3$

$c=-3$

The point of contact is $\bigg( \large\frac{2}{(\Large\frac{-2}{3} )^2}. \frac{2 \times 2}{(\Large\frac{-2}{3})} \bigg)$

$\qquad=\bigg( \large\frac{2}{\Large\frac{4}{9} }. \frac{4}{-2} $$ \times 3 \bigg)$

$\qquad= \bigg (\large\frac{9}{2}, -6 \bigg)$

Hence 4 is the correct answer.

Ask Question

Take Test

x

JEE MAIN, CBSE, AIPMT Mobile and Tablet App

The ultimate mobile app to help you crack your examinations

...