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  • Find the number of real tangents that can be drawn from (2,2) the circle <img alt="\mathrm{x^2+y^2-6 x-4 y+3=0}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%5E2&amp

Find the number of real tangents that can be drawn from (2,2) the circle \mathrm{x^2+y^2-6 x-4 y+3=0} _______.

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

3


Answers (1)

best_answer

\begin{aligned} & \text { Let } S=x^2+y^2-6 x-4 y+3=0 \\ & \therefore S(2,2)=4+4-12-8+3=-9<0 \end{aligned}

So, the point (2,2) lies inside the circle. Hence, there is no tangent drawn from (2,2) to the given circle.

Posted by

SANGALDEEP SINGH

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