Home
Class 10
MATHS
Two circles touch each other externally ...

Two circles touch each other externally at point P. A common tangent AB is drawn touching the circles at A and B. Find `angleAPB.`

Text Solution

Verified by Experts

`/_APC=alpha`
`/_PAC=alpha`
`/_PBC=beta`
`/_BPC=beta`
`In/_ABP`
`alpha+beta+alpha+beta=180`
`2(alpha+beta)=180`
`alpha+beta=90`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Two circles touch each other externally at P . A B is a common tangent to the circle touching them at A and B . The value of /_A P B is

Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then anglePAQ =

Two circles touch each other extenally at the point A. A common tangent drawn to two circles at the point A is a "______" common tangent. (direct/ transverse)

Two circles touch each other externally at P . A B is a common tangent to the circle touching them at A and B . The value of /_A P B is (a) 30^o (b) 45^o (c) 60^o (d) 90^o

Two circles touch each other externally at P . A B is a common tangent to the circle touching them at A and B . The value of /_A P B is 30o (b) 45o (c) 60o (d) 90o

Two circles touch each other externally at a point P and a direct common tangent touches the circles at the points Q and R respectively. Then angle QPR is

Two circles touch each other externally at the point C. AB is a common tangent to both the circels and touches the circle at the points A and B. Then the value of angle ABC is [GP-X]