Home
Class 14
MATHS
Two circles touch each other at point X....

Two circles touch each other at point X. A common tangent touch them at two distinet points Y and Z. If another tangent passing through X cut YZ at A and XA = 15 cm, then what is the value (in cm) of YZ?

A

18

B

24

C

16

D

32

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Two circles touch each other at point X, A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA = 16cm, then what is the value (in cm) of YZ? दो वृत्त एक-दूसरे को बिन्दु X पर स्पर्श करते है। एक उभय-निष्ठ स्पर्शरेखा उन्हे दो अलग बिन्दुओं Y तथा Z पर स्पर्श करती हैं यदि X से गुजरने वाली एक अन्य स्पर्शरेखा YZ को A पर काटती है तथा XA = 16 से.मी. है, तो YZ का मान (से.मी. में) क्या है?

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

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

If two circles touch externally , how many common tangents can be drawn to them ?

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

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

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 )