Question

# The number of tangents which can be drawn from the point$$(1,2)$$ to the circle  $${x^2} + {y^2} - 2x - 4y + 4 = 0$$ are:

A
1
B
2
C
3
D
0

Solution

## The correct option is A $$0$$Point $$(1,\ 2)$$Circle $$=x^{2}+y^{2}-2x-4y+4=0------(1)$$put point $$(x,\ y)$$ in eq $$-----(1)$$$$(1)\ +4-2-8+4$$$$-1 < 0$$Therefore, point lies inside the circle $$\therefore \$$ No. of triangles drawn $$=0$$Mathematics

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