- Home
- Standard 11
- Mathematics
10-1.Circle and System of Circles
normal
Point $M$ moved along the circle $(x - 4)^2 + (y - 8)^2 = 20 $. Then it broke away from it and moving along a tangent to the circle, cuts the $x-$ axis at the point $(- 2, 0)$ . The co-ordinates of the point on the circle at which the moving point broke away can be :
A
$\left( { - \,\frac{3}{5}\,\,,\,\,\frac{{46}}{5}} \right)$
B
$\left( { - \,\frac{2}{5}\,\,,\,\,\frac{{44}}{5}} \right)$
C
$(6, 4)$
D
$(B)$ or $(C)$ both
Solution
Compute chord of constant of $(-2, 0)$ and verify each alternative w.r.t. the $\odot $ and $C.O.C.$
Standard 11
Mathematics
