Question
Mathematics Question on Circle
The numbers of real tangents that can be drawn from (2,2) to the circle x2+y2−bx−yy+3=0 ,is
A
1
B
2
C
0
D
3
Answer
0
Explanation
Solution
The correct option is:(C): 0.
given that:
x2+y2-bx-Yy+3=0
we know that, if f(a,b)=0 on the circle.
f(a,b)>0= outside the circle.
f(a,b)<0= inside the circle.
Let us test for the point(2,2)
=22+22-12-8+3=-9<0 (inside the circle).
hence, as the given point is inside the circle then no together is parallel.=0
