Home
Class 12
MATHS
In the figure given, two circles with ce...

In the figure given, two circles with centres `C_t` and `C_2` are 35 units apart, i.e. `C_1 C_2=35`. The radii of the circles with centres `C_1` and `C_2` are 12 and 9 respectively. If `P` is the intersection of `C_1 C_2` and a common internal tangent to the circles, then `l(C_1 P)` equals

Text Solution

Verified by Experts

The correct Answer is:
20
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    CENGAGE|Exercise Comprehension Type|8 Videos

  • CIRCLE

    CENGAGE|Exercise MATRIX MATCH TYPE|6 Videos

  • COMPLEX NUMBERS

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

Similar Questions

Explore conceptually related problems

Let C be the circle with centre at (1,1) and radius =1 . If T is the circle centered at (0,y) passing through the origin and touching the circle C externally. Then the radius of T is equal to

If y=2x+c is tangent to the circle x^(2)+y^(2)=16 find c.

The centres of two circles C_(1) and C_(2) each of unit radius are at a distance of 6 unit from each other. Let P be the mid-point of the line segment joining the centres of C_(1) and C_(2) and C be a circle touching circles C_(1) and C_(2) externally. If a common tangent to C_(1) and C passing through P is also a common tangent to C_(2) and C, then the radius of the circle C, is

If C_1,C_2,a n dC_3 belong to a family of circles through the points (x_1,y_2)a n d(x_2, y_2) prove that the ratio of the length of the tangents from any point on C_1 to the circles C_2a n dC_3 is constant.

Two circle with centre O and P intersect each other in point C and D. Chord AB of the circle with centre O touches the circle with circle with centre P in Point E. Prove that angleADE+angleBCE= 180^(@)

Let C_1 be the circle with center O_1(0,0) and radius 1 and C_2 be the circle with center O_2(t ,t^2+1),(t in R), and radius 2. Statement 1 : Circles C_1a n dC_2 always have at least one common tangent for any value of t Statement 2 : For the two circles O_1O_2geq|r_1-r_2|, where r_1a n dr_2 are their radii for any value of tdot

Let T_1, T_2 and be two tangents drawn from (-2, 0) onto the circle C:x^2+y^2=1 . Determine the circles touching C and having T_1,T_2 as their pair of tangents. Further, find the equations of all possible common tangents to these circles when taken two at a time

C_1 and C_2 are circle of unit radius with centers at (0, 0) and (1, 0), respectively, C_3 is a circle of unit radius. It passes through the centers of the circles C_1a n dC_2 and has its center above the x-axis. Find the equation of the common tangent to C_1a n dC_3 which does not pass through C_2dot