Match the statements in Column I with the properties Column II.
| 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 |
Tangents are drawn from the point (17, 7) to the circle $$x^2+y^2=169$$.
Statement 1 : The tangents are mutually perpendicular.
Statement 2 : The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is $$x^2+y^2=338$$
A circle touches the line $L$ and the circle $C_1$ externally such that both the circles are on the same side of the line, then the locus of center of the circle is:
Let ABCD be a square of side length 2 units. $\mathrm{C}_2$ is the circle through vertices $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ and $\mathrm{C}_1$ is the circle touching all the sides of the square ABCD . L is a line through A.
A line $M$ through $A$ is drawn parallel to $B D$. Point $S$ moves such that its distances from
the line BD and the vertex A are equal. If locus of S cuts M at $\mathrm{T}_2$ and $\mathrm{T}_3$ and AC at $\mathrm{T}_1$, then area of $\Delta T_1 T_2 T_3$ is :
JEE Advanced Subjects
Browse all chapters by subject