Match the statements in Column $I$ with the properties in 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

  • A
    $A \rightarrow q, s ; B \rightarrow p, s ; C \rightarrow q, p ; D \rightarrow q, p$
  • B
    $A \rightarrow s, r ; B \rightarrow p, s ; C \rightarrow r, r ; D \rightarrow p, s$
  • C
    $A \rightarrow p, q ; B \rightarrow p, q ; C \rightarrow q, s ; D \rightarrow q, s$
  • D
    $A \rightarrow p, q ; B \rightarrow p, q ; C \rightarrow q, r ; D \rightarrow q, r$

Explore More

Similar Questions

If the product of the lengths of the perpendiculars drawn from the ends of a diameter of the circle $x^2+y^2=4$ onto the line $x+y+1=0$ is maximum,then the two ends of that diameter are

The number of common tangents to the circles $x^2 + y^2 - 2x + 4y - 4 = 0$ and $x^2 + y^2 - 8x - 4y + 16 = 0$ is:

Let $y=x$ be the equation of a chord of the circle $C_{1}$ (in the closed half-plane $x \ge 0$) of diameter $10$ passing through the origin. Let $C_{2}$ be another circle described on the given chord as its diameter. If the equation of the chord of the circle $C_{2}$,which passes through the point $(2, 3)$ and is farthest from the center of $C_{2}$,is $x+ay+b=0$,then $a-b$ is equal to:

If a circle $C$ passing through $(4, 0)$ touches the circle $x^2 + y^2 + 4x - 6y - 12 = 0$ externally at a point $(1, -1),$ then the radius of the circle $C$ is

For the circle $x^2 + y^2 - 2x + 4y - 4 = 0$,what is the line $2x - y - 1 = 0$?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo