Home
Class 10
MATHS
In Figure, Q R is a common tangent to ...

In Figure, `Q R` is a common tangent to the given circles touching externally at the point `T` . The tangent at `T` meets `Q R` at `P` . If `P T=3. 8 c m` , then the length of `Q R` (in cm) is (a) 3.8 (b) 7.6 (c) 5.7 (d) 1.9

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|329 Videos

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

Similar Questions

Explore conceptually related problems

In the given figure, PA and PB are tangents to the circle from an external point P. CD is another tangent touching the circle at Q. If PA =12 cm, QC=3cm, then find PC+PD.

In the given figure PA and PB are tangents to the circle drawn from an external point P. CD is a third tangent touching the circle at Q. If PB=10cm and CQ=2cm. What is the length of PC?

In Fig. 10.74, C P and C Q are tangents to a circle with centre O . A R B is another tangent touching the circle at R . If C P=11 c m and B C=7c m , then find the length of B R . (FIGURE)

In Fig. 10.72, P A and P B are tangents to the circle drawn from an external point P . C D is a third tangent touching the circle at Q . If P B=10 c m and C Q=2c m , what is the length P C ? (FIGURE)

In the figure, two circles touch each other at the point C.Prove that the common tangents to the circles at C, bisect the common tangents at P and Q.

In Figure, 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 .

A tangent P Q at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that O Q=13 c m . Find the length of P Q .

In Fig. 10.76, C P and C Q are tangents from an external point C to a circle with centre O . A B is another tangent which touches the circle at R . If C P=11 c m and B R=4c m , find the length of B C . (FIGURE)

Two tangents T P and T Q are drawn to a circle with centre O from an external point T . Prove that /_P T Q=2/_O P Q .

Two tangents T P and T Q are drawn to a circle with centre O from an external point T . Prove that /_P T Q=2/_O P Q .

RD SHARMA ENGLISH-CIRCLES-All Questions
  1. If P T is tangent drawn from a point P to a circle touching it at ...

    Text Solution

    |

  2. In the adjacent figure, if A B=12 c m ,\ \ B C=8c m and A C=10 c m ,...

    Text Solution

    |

  3. In Figure, if A P=P B , then (a) A C=A B (b) A C=B C (c) A Q=Q C (d) ...

    Text Solution

    |

  4. In Figure, if A P=10 c m , then B P= (a) sqrt(91)c m (b) sqrt(127)c m...

    Text Solution

    |

  5. In Figure, if quadrilateral P Q R S circumscribes a circle, then P D...

    Text Solution

    |

  6. In Figure, two equal circles touch each other at T , if Q P=4. 5 c m ,...

    Text Solution

    |

  7. In Figure, A P B is a tangent to a circle with centre O at point P ....

    Text Solution

    |

  8. In Figure, P R= (a) 20cm (b) 26cm (c) 24cm (d) 28cm

    Text Solution

    |

  9. In Figure, there are two concentric circles with centre O . P R and P ...

    Text Solution

    |

  10. In Fig. 10.94, if A B=8c m and P E=3c m , then A E= (FIGURE) (a) ...

    Text Solution

    |

  11. In Fig. 10.95, P Q and P R are tangents drawn from P to a circle...

    Text Solution

    |

  12. In Fig. 10.96, if T P and T Q are tangents drawn from an externa...

    Text Solution

    |

  13. In Fig. 10.97, the sides A B ,\ B C and C A of triangle A B C , ...

    Text Solution

    |

  14. In Fig. 10.98, a circle touches the side D F of E D F at H and tou...

    Text Solution

    |

  15. In Fig. 10.99, D E and D F are tangents from an external point D...

    Text Solution

    |

  16. In a right angled triangle A B C, right angled at B ,\ B C=12 c m and ...

    Text Solution

    |

  17. Two circles touch each other externally at P . A B is a common tan...

    Text Solution

    |

  18. In Fig. 10.101, P Q and P R are two tangents to a circle with cent...

    Text Solution

    |

  19. In Figure, Q R is a common tangent to the given circles touching ext...

    Text Solution

    |

  20. In Figure, a quadrilateral A B C D is drawn to circumscribe a circ...

    Text Solution

    |