Home
Class 10
MATHS
In the given figure two circles touch ea...

In the given figure two circles touch each other at the point C. Prove that the common tangent at P and Q.

Text Solution

Verified by Experts

The correct Answer is:
`therefore segPMcongsegQM`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    TARGET PUBLICATION|Exercise Lets recall|1 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Try this|8 Videos
  • CIRCLE

    TARGET PUBLICATION|Exercise Chapter Assessment|9 Videos
  • CHALLENGING QUESTIONS

    TARGET PUBLICATION|Exercise Chapter 6: Statistics|4 Videos
  • CO-ORDINATE GEOMETRY

    TARGET PUBLICATION|Exercise CHAPTER ASSESSMENT|19 Videos

Similar Questions

Explore conceptually related problems

The two circles touch each other if

In Fig.10.21, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent at P and Q.( FIGURE )

In the given figure, two circles touch each other internally at point P., where Q is the centre of larger circle. If RS = 17 cm, TU = 9 cm and TV_|_ RP , then find the area of shaded region.

Statement 1 : The number of common tangents to the circles x^(2) +y^(2) -x =0 and x^(2) +y^(2) +x =0 is 3. Statement 2 : If two circles touch each other externally then it has two direct common tangents and one indirect common tangent.

In figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P,Q. Prove that, /_PRQ+/_PSQ=180^(@) .

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.

In the figure, the circles with centeres A and B touch each other at E. Line l is a common tangent which touches the circles at C and D respectively. Find the length of seg CD, if the radii of the circle are 4 cm, 6 cm.