Home
Class 10
MATHS
In the given figure, from an external po...

In the given figure, from an external point P, two tangents PT and PS are drawn to the circle with centre O and radius r. If `PO=2r`, show that `|__OTS= |__OST=30^(@)`.

Text Solution

Verified by Experts

The correct Answer is:
`|__OTS = |__TSO = 30^(@)`.
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER [SA] TYPE - 2 - QUESTIONS)|13 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( LONG ANSWER [LA] TYPE - QUESTIONS)|8 Videos
  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (VERY SHORT ANSWER [VSA] TYPE QUESTIONS)|14 Videos
  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS)|4 Videos
  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS [HOTS] QUESTIONS|14 Videos

Similar Questions

Explore conceptually related problems

From an external point P, tangents PA and PB are drawn to a circle with centre O. If |__PAB=50^(@) , find |__AOB .

Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that |__PTQ = 2 |__OPQ .

In the given figure, angle PQR = 100^(@) , where P, Q and R are points on a circle cith centre O. Find angle OPR .

Prove the tangents drawn from an external point to a circle are equal.

In the adjoining figure, AD=8 cm, AC=6cm , and TB is the tangent at B to the circle with centre O. Find OT if BT is 4 cm

Two concentric circles with centre O are of radius 3 cm and 5 cm. From an external point P, two tangents PB and PA are drawn to these circles respectively. If PA=12 cm, find PB.

Find the length of the tanget to a circle with centre 'O' and radius =6cm from a point P such that OP=10cm .

In the given TP and TQ are tangents drawn to the circle with centre O.If anglePTQ=40^(@) ,then angleOPQ is:

In the figure, PQR=100^@ , where P, Q and R are points on a circle with centre O. Find OPR.

In the figure AB and AC are the two tangents drawn from the point A to the circle with centre O, If AngleBỌC = 130* then find AngleBAC

ZEN PUBLICATION-CIRCLES-ZEN ADDITIONAL QUESTIONS ( SHORT ANSWER [SA] TYPE 1 - QUESTIONS)
  1. In the given figure, a circle is inscribed in a DeltaABC such that it ...

    Text Solution

    |

  2. In the given figure, AP and BP are tangents to a circle with centre O ...

    Text Solution

    |

  3. In the given figure, from an external point P, two tangents PT and PS ...

    Text Solution

    |

  4. In the given figure, there are two concentric circles of radii 6 cm an...

    Text Solution

    |

  5. In the figure, AB is the diameter of a circle with centre O and AT is ...

    Text Solution

    |

  6. In the figure, PQ is a chord of length 8 cm of a circle of radius 5 cm...

    Text Solution

    |

  7. In the given figure, two circles touch each other externally at the po...

    Text Solution

    |

  8. In the figure, an isosceles triangle ABC with AB=AC circumscribes a ci...

    Text Solution

    |

  9. If d(1) and d(2) (d(2) gt d(1)) be the diameters of two concentric cir...

    Text Solution

    |

  10. In the adjoining figure, AD=8 cm, AC=6cm, and TB is the tangent at B t...

    Text Solution

    |

  11. The incircle of an isosceles triangle ABC in which AB=AC, touches the ...

    Text Solution

    |

  12. In the figure, PQ is a tangent of length 6 cm to the circle with centr...

    Text Solution

    |

  13. In the figure, PQ is a chord of a circle and PT is the tangent at P su...

    Text Solution

    |

  14. In the figure, PQL and PRM are tangents to the circle with centre O at...

    Text Solution

    |

  15. PA is a tangent to the circle with centre O. If BC= 3 cm, AC = 4 cm, a...

    Text Solution

    |

  16. Two circles with centre at A and B touch each other at C. Common tange...

    Text Solution

    |