Home
Class 10
MATHS
P Q is a tangent to a circle with cen...

`P Q` is a tangent to a circle with centre `O` at the point `P` . If ` O P Q` is an isosceles triangle, then `/_O Q P` is equal to `30o` (b) `45o` (c) `60o` (d) `90o`

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise All Questions|329 Videos
  • CONSTRUCTIONS

    RD SHARMA|Exercise All Questions|21 Videos

Similar Questions

Explore conceptually related problems

PQ is a tangent to a circle with centre O at the point P . If DeltaOPQ is an isoceless triangle, then /_OQP is equal to

In Fig. 10.88, A P B is a tangent to a circle with centre O at point P . If /_Q P B=50o , then the measure of /_P O Q is (FIGURE) 100o (b) 120o (c) 140o (d) 150o

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80o then /_POA is equal to 50o (b) 60o(c)70o (d) 80o

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80o , then /_P O A is equal to

PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that /_POR=120o, then /_OPQ is 60o (b) 45o (c) 30o (d) 90o

In an isosceles triangle ABC if AC=BC and AB^(2)=2AC^(2), then /_C=30o(b)450 (c) 90o(d)60o

Line l touches a circle with centre O at point P. If radius of the circle is 9 cm, answer the following: What is d(O,P)=? Why?

(2tan30o)/(1-tan^2 30o) is equal to cos60o (b) sin60o (c) tan60o (d) sin30o

(2tan30o)/(1+tan^2 30o) is equal to sin60o (b) cos60o (c) tan60o (d) sin30o

RD SHARMA-CIRCLES-All Questions
  1. If tangents P A and P B from a point P to a circle with centr...

    Text Solution

    |

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

    Text Solution

    |

  3. P Q is a tangent to a circle with centre O at the point P . If ...

    Text Solution

    |

  4. Two equal circles touch each other externally at C and A B is a com...

    Text Solution

    |

  5. A B C is a right angled triangle, right angled at B such that B C=6...

    Text Solution

    |

  6. P Q is a tangent drawn from a point P to a circle with centre O ...

    Text Solution

    |

  7. If four sides of a quadrilateral A B C D are tangential to a ci...

    Text Solution

    |

  8. The length of the tangent drawn from a point 8cm away from the cent...

    Text Solution

    |

  9. A B and C D are two common tangents to circles which touch each oth...

    Text Solution

    |

  10. In Fig. 10.78, if A D ,\ A E and B C are tangents to the circl...

    Text Solution

    |

  11. In Fig. 10.79, R Q is a tangent to the circle with centre O . If...

    Text Solution

    |

  12. In Fig. 10.80, the perimeter of A B C is (FIGURE) (a) 30cm (b) ...

    Text Solution

    |

  13. In Fig. 10.81, A P is a tangent to the circle with centre O such...

    Text Solution

    |

  14. A P and P Q are tangents drawn from a point A to a circle with c...

    Text Solution

    |

  15. At one end of a diameter P Q of a circle of radius 5cm, tangent ...

    Text Solution

    |

  16. If P T is tangent drawn from a point P to a circle touching it a...

    Text Solution

    |

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

    Text Solution

    |

  18. In Fig. 10.83, if A P=P B , then (FIGURE) A C=A B (b) A C=B C (c) A...

    Text Solution

    |

  19. In Fig. 10.84, if A P=10 c m , then B P= (FIGURE) sqrt(91)c m (b) s...

    Text Solution

    |

  20. In Fig. 10.86, if quadrilateral P Q R S circumscribes a circle, ...

    Text Solution

    |