3. If the tangent at a point P on t...
Question
Fullscreen

3. If the tangent at a point P on the circler2 + 12 + 6r + 6x = 2. meets the straight line 5.r - 2y + 6 = 0) at a point Q on the v-axis. then the length of PQ is:

JEE/Engineering Exams
Maths
Solution
102
Rating
4.0 (1 ratings)
Fullscreen
Line ( 5 x-2 y+6=0 ) is intersected by tangent P to circle ( x^{2}+y^{2}+6 x+6 y-2=0 ) on y-axis at ( Q(0,3) ) In other words tangent passes through (0,3) ( P Q= ) length of tangent to circle from (0,3) [ begin{array}{l} =sqrt{0+9+0+18-2} =sqrt{25} =5 end{array} ] Hence ( C ) is the correct answer.
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free