Home
Class 10
MATHS
In Fig. 10.67, O Q : P Q=3:4 and p...

In Fig. 10.67, `O Q : P Q=3:4` and perimeter of ` P O Q=60 c m` . Determine `P Q ,\ Q R` and `O P` . (FIGURE)

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 Figure, O P||R S . Determine /_P Q R

In Fig. 10.95, P Q and P R are tangents drawn from P to a circle with centre O . If /_O P Q=35o , then (FIGURE) a=30o,\ \ b=60o (b) a=35o,\ \ b=55o (c) a=40o,\ \ b=50o (d) a=45o,\ \ b=45o

In Fig. 4.90, if P S|| Q R , prove that P O S ~ R O Q . (FIGURE)

In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 c m , B O=6c m and P B=9c m . Find A Q . (FIGURE)

In P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine /_P and /_R .

In /_\P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine /_P and /_R .

In /_\O P Q right angled at P ,\ O P=7c m , O Q-P Q=1c m . Determine the values of sinQ and cosQ .

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In Fig. 4.90, if P O S ~ R O Q , prove that P S Q R . (FIGURE)

In Fig. 10.62, P O_|_Q O . The tangents to the circle at P and Q intersect at a point T . Prove that P Q and O T are right bisectors of each other. (FIGURE)

RD SHARMA ENGLISH-CIRCLES-All Questions
  1. In Fig. 10.62, P O|Q O . The tangents to the circle at P and Q i...

    Text Solution

    |

  2. The lengths of three consecutive sides of a quadrilateral circumscr...

    Text Solution

    |

  3. In Fig. 10.67, O Q : P Q=3:4 and perimeter of P O Q=60 c m . De...

    Text Solution

    |

  4. In Fig. 10.72, P A and P B are tangents to the circle drawn from...

    Text Solution

    |

  5. What is the distance between two parallel tangents of a circle of r...

    Text Solution

    |

  6. The length of a tangent from a point A at distance 5 cm from the ce...

    Text Solution

    |

  7. Two tangents T P and T Q are drawn from an external point T to a...

    Text Solution

    |

  8. What is the distance between two parallel tangents to a circle of r...

    Text Solution

    |

  9. In Q. No. 1, if P B=10 c m , what is the perimeter of P C D ?

    Text Solution

    |

  10. In Fig. 10.74, C P and C Q are tangents to a circle with centre ...

    Text Solution

    |

  11. In figure ΔABC is circumscribing a circle. Find the length of BC

    Text Solution

    |

  12. In Fig. 10.76, C P and C Q are tangents from an external point C...

    Text Solution

    |

  13. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |

  14. In Figure, P A and P B are tangents to the circle with centre O such...

    Text Solution

    |

  15. A tangent P Q at a point P of a circle of radius 5 cm meets a line thr...

    Text Solution

    |

  16. From a point Q , the length of the tangent to a circle is 24cm and...

    Text Solution

    |

  17. The length of the tangent from a point A to a circle, of radius 3cm, i...

    Text Solution

    |

  18. If tangents P A and P B from a point P to a circle with centre O are i...

    Text Solution

    |

  19. In figure, sides Q P and R Q of P Q R are produced to point S and T re...

    Text Solution

    |

  20. P Q is a tangent to a circle with centre O at the point P . If /\ O P ...

    Text Solution

    |