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10-1.Circle and System of Circles
normal
A tangent drawn from the point $(4, 0)$ to the circle $x^2 + y^2 = 8$ touches it at a point $A$ in the first quadrant. The co-ordinates of another point $B$ on the circle such that $l\, (AB) = 4$ are :
A
$(2, - 2)$
B
$(- 2, 2)$
C
$\left( { - \,2\sqrt 2 \,\,,\,\,0} \right)$
D
$(A)$ or $(B)$ both
Solution
Equation of tangent through $(4, 0)$ is $x + y = 4$ . Point $'A'$ is $(2, 2)\,\, \Rightarrow \,\,A, B$
Standard 11
Mathematics
Similar Questions
Match the statements in Column $I$ with the properties Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.
| Column $I$ | Column $II$ |
| $(A)$ Two intersecting circles | $(p)$ have a common tangent |
| $(B)$ Two mutually external circles | $(q)$ have a common normal |
| $(C)$ two circles, one strictly inside the other | $(r)$ do not have a common tangent |
| $(D)$ two branches of a hyperbola | $(s)$ do not have a common normal |
