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

30

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos
  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

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 )

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. Two circles are having radii 9 cm and 12 cm. The distance between thei...

    Text Solution

    |

  2. Two circles touch each other at point X. Two common tangents of the ci...

    Text Solution

    |

  3. Two circles touch each other at point X. A common tangent touch them a...

    Text Solution

    |

  4. There are 8 equidistant points A, B, C, D, E, F, G and H (in same orde...

    Text Solution

    |

  5. In the given figure, 0 is the centre of the circle and angleQOR=50^(@)...

    Text Solution

    |

  6. Three circle C(1),C(2)andC(3) with radii r(1),r(2) and r(3) (where r(1...

    Text Solution

    |

  7. An equilateral triangle of area 300cm^(2) is cut from its three vertic...

    Text Solution

    |

  8. ABCD is a rectangle. P is a point on the side AB as shown in the given...

    Text Solution

    |

  9. In the given figure, ABCD is a square, BCXYZ is a regular pentagon and...

    Text Solution

    |

  10. In the given figure, OX, OY and OZ are perpendicular bisector of the t...

    Text Solution

    |

  11. In a triangle PQR, anglePQR=90^(@), PQ = 10 cm and PR = 26 cm, then wh...

    Text Solution

    |

  12. In the given figure, if (QR)/(XY)=(14)/(9) and PY = 18 cm, then what i...

    Text Solution

    |

  13. In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO...

    Text Solution

    |

  14. In the given figure, a circle touches the sides of the quadrilateral P...

    Text Solution

    |

  15. In the given figure, from the point P two tangents PA and PB are drawn...

    Text Solution

    |

  16. In the given figure, AB is a diameter of the circle with centre O and ...

    Text Solution

    |

  17. In the given figure, PQ is a diameter of the semicircle, PABQ and O is...

    Text Solution

    |

  18. ABC is rt angled triangle angleBAC=90^(@) and angleACB=60^(@). What i...

    Text Solution

    |

  19. In the given figure, ABCD is a square whose side is 4 cm. P is a point...

    Text Solution

    |

  20. triangle ABC is similar to triangle PQR and AB: PQ = 2: 3. AD is the m...

    Text Solution

    |