Home
Class 14
MATHS
A secant PAB is drawn from an external p...

A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17cm, PA = 12cm and PB = 22.5 cm, then the radius of the circle is :
एक छेदक PAB को बाहरी बिंदु P से केंद्र O वाले वृत्त की ओर खींचा जाता है,जो A और B पर प्रतिच्छेदित करती है । यदि OP = 17 सेमी, PA = 12 सेमी और PB = 22.5 सेमी है, तो वृत्त की त्रिज्या क्या है

A

`sqrt 19 cm`

B

`sqrt 17 cm`

C

`3 sqrt 2 cm`

D

`2 sqrt 3 cm`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2019 TIER-II PAPER (1)

    CHAMPION PUBLICATION|Exercise EXERCISE|99 Videos
  • 2019 TIER-II PAPER(3)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

From an external point P, a tangent PQ is drawn to a circle, with centre O, touching the circle at Q. If the distance of P from the centre is 13 cm and the length of the tangent PQ is 12 cm, then the radius of the circle is: एक बाहरी बिंदु P से, केंद्र O वाले एक वृत्त पर एक स्पर्श रेखा PQ खींची जाती है, जो वृत्त को Q पर स्पर्श करती है | यदि केंद्र से P की दूरी 13 सेमी है तथा स्पर्श रेखा PQ की लंबाई 12 सेमी है, तो वृत्त की त्रिज्या कितनी होगी ?

In the given figure, TB is a chord which passes through the centre of the circle. PT is a tangent to the circle at the point. T on the circle. If PT = 10 cm, PA = 5 cm and AB = x cm, then the radius of the circle is: दिए गए चित्र में, TB एक जीवा है जो वृत्त के केंद्र से होकर गुजरता है। PT, वृत्त के बिंदु T पर वृत्त की स्पर्शरेखा है। यदि PT= 10 सेमी, PA=5 सेमी और AB = x सेमी, तो वृत्त का त्रिज्या है

In a circle, AB is the diameter and CD is a chord. AB and CD produced meet at a point P, outside the circle. If PD = 15.3 cm, CD = 11.9 cm and AP = 30.6 cm, then the radius of the circle is: एक वृत्त में, AB व्यास है तथा CD एक जीवा है | AB तथा CD को बढ़ाया जाता है जो वृत्त से बाहर एक बिंदु P पर मिलती हैं | यदि PD = 15.3 सेमी, CD = 11.9 सेमी तथा AP = 30.6 सेमी है, तो वृत्त की त्रिज्या कितनी है ?

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

Two tangents PA and PB are drawn from an external point P to a circle with centre O at the point A and B respectively on it, such that angle APB = 120^@ , and AP= 12.5 cm. The length of OP is: दो स्पर्शरेखाएँ PA और PB एक बाहरी बिंदु P से एक बिंदु पर क्रमशः केंद्र A और B पर O के साथ वृत्त की ओर खींची जाती हैं, जैसे कि angle APB = 120^@ और AP = 12.5 cm OP की लंबाई है:

If PA and PB are tangents drawn from an external point P to a circle with centre O such that angle APB = 70^@ , then angle OAB is equal to: यदि PA और PB एक बाहरी बिंदु P से केंद्र O के साथ एक वृत्त में खींची गई स्पर्श रेखाएँ हैं जैसे कि angle APB = 70^@ तो angle OAB बराबर है:

From a point P , outside a circle, PAB is a secant and PT is a tangent to the circle, where A , B and T are points on the circle. If PT = 5cm , PA = 4cm and AB = x , then x is equal to: वृत्त के बाहर एक बिंदु P से , PAB एक छेदक रेखा तथा PT वृत्त की एक स्पर्श रेखा है एवं A, B और T वृत्त पर स्थित बिंदु हैं | यदि PT=5 सेमी, PA = 4 सेमी तथा AB = x सेमी है, तो x का मान किसके बराबर होगा ?

If two equal circles whose centres are O and intersect each o ′ other at the point A and B, OO′ =12 cm and AB= 16 cm, then radius of the circle is: यदि दो बराबर वृत्त जिनके केंद्र O तथा o ′ हैं, एक-दूसरे को बिंदु A तथा B पर काटते हैं, तथा OO′ =12 सेमी एवं AB = 16 सेमी है, तो वृत्त की त्रिज्या ज्ञात करें |

Let PAB be a secant to a circle intersecting the circle at A and B. Let PT be the tangent segment. If PA = 9 cm and PT =12 cm, then what is AB equal to?

CHAMPION PUBLICATION-2019 TIER-II PAPER (2)-EXERCISE
  1. To do a certain work, the ratio of the efficiencies of A and B is 7: 5...

    Text Solution

    |

  2. Two men and 7 women can complete a work in 28 days, whereas 6 men and ...

    Text Solution

    |

  3. A secant PAB is drawn from an external point P to the circle with cent...

    Text Solution

    |

  4. Rashman buys articles A and B for Rs. 1734. She sells A at a loss of 1...

    Text Solution

    |

  5. A T.V is sold at 8% gain . Had it been sold for ₹ 714 more,the gain wo...

    Text Solution

    |

  6. In triangle ABC, D and E are points on the sides AB and AC, respective...

    Text Solution

    |

  7. A certain sum is divided between A, B, C and D such that the ratio of ...

    Text Solution

    |

  8. In angle ABC, D and E are the midpoint of sides BC and AC, respectivel...

    Text Solution

    |

  9. Let D and E be two points on the side BC of triangle ABC such that AD...

    Text Solution

    |

  10. Raju ate 3/8 part of a pizza and Adam ate 3/10 part of the remaining p...

    Text Solution

    |

  11. If sqrt(11-3 sqrt8)=a+b sqrt2, then what is the value of (2a + 3b) ? ...

    Text Solution

    |

  12. A cylindrical roller made up of iron is 1.2m long. Its internal radius...

    Text Solution

    |

  13. In a quadrilateral ABCD, E is a point in the interior of the quadrilat...

    Text Solution

    |

  14. What price should Neeraj mark on a shirt that cost ₹ 840, so as to ear...

    Text Solution

    |

  15. If frac(1)(x+frac(1)(y+frac(2)(z+frac(1)(4))))= 29/79 where x,y and z ...

    Text Solution

    |

  16. The rate of interest for the first 2 years is 6% p.a, for next 3 years...

    Text Solution

    |

  17. The value of (5cos^2 60^@+4sec^2 30^@-tan^2 45^@)/(tan^2 60^@- sin^2 3...

    Text Solution

    |

  18. The value of 3 1/5 div 4 1/2 of 5 1/3+1/8 div 1/2 of 1/4-1/4(1/2 div 1...

    Text Solution

    |

  19. A drink of chocolate and milk contains 8% pure chocolate by volume. If...

    Text Solution

    |

  20. The base of a solid prism of height 10cm is a square and its volume is...

    Text Solution

    |