Class 11Mathematics10-1.Circle and System of CirclesGeometrical problems regarding circle and its properties
DifficultMatch 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
| 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
The line $2x - 3y = 1$ divides the circular region $x^2 + y^2 \leq 6$ into two parts. If $S = \left\{ \left(2, \frac{3}{4}\right), \left(\frac{5}{2}, \frac{3}{4}\right), \left(\frac{1}{4}, -\frac{1}{4}\right), \left(\frac{1}{8}, \frac{1}{4}\right) \right\}$,then the number of points in the set $S$ that lie inside the smaller part is:
Difficult
View Solution$A$ square is inscribed in the circle $x^2+y^2-10x-6y+30=0$. One side of this square is parallel to $y=x+3$. If $(x_i, y_i)$ are the vertices of the square,then $\sum(x_i^2+y_i^2)$ is equal to:
DifficultJEE MAIN 2024
View Solution$A$ 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 coordinates of another point $B$ on the circle such that the length of the chord $AB$ is $4$ are:
The angle subtended at the centre of a circle of radius $3 \text{ metres}$ by an arc of length $1 \text{ metre}$ is equal to
Easy
View Solution$A$ circle $C$ touches the $X$-axis and makes an intercept of length $2$ units on the $Y$-axis. If the centre of this circle lies on the line $y=x+1$,then which of the following is a circle passing through the centre of the circle $C$?
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo