Question

The number of tangents that can be drawn to a circle at a point on the circle is ............... Select the correct alternative for the question
(A) 3
(B) 2
(C) 1
(D) 0

Answer 1

Final Answer: 1 

1) The number of tangent (s) that can be drawn to a circle at a point on the circle is 1. 

SInce, The point lies on a circle .

The Equation of Tangent at point $P(x_{1},y_{1})$ on the circle
$x^{2} + y^{2} +2gx+2fy +c=0$
is given by: 
  
$\boxed{xx_{1}+yy_{1}+g(x+x_{1})+f(y+y_{1}) + c =0}$

Therefore, There exists only one equation of Tangent for a given point P on circle. 

Answer 2

We can draw only one tangent at a point on circle .

But we can draw two tangents from an external point to the circle .

Answer is 1

I hope this answer helps you