Home
Class 12
MATHS
Let PQ and RS be tangents at the extremi...

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals

A

`sqrt (PQ.RS)`

B

`(PQ +RS)/(2)`

C

`(2PQ.RS)/(PQ + RS)`

D

`sqrt ((PQ ^(2) + RS ^(2))/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT-BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|55 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

Let PQ and RS be tangent at the extremities of the diameter PR of a circle of radius r. If P S and RQ intersect at a point X on the circumference of the circle,then prove that 2r=sqrt(PQ xx RS).

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. PS and RQ intersect at a point X on the circumference of the circle. If PQ = 9 and RS = 4, then the diameter of the circle is :

If the sum of the circumferences of two circles with radii R_1 and R_2 is equal to the circumference of a circle of radius R, then

If the sum of the circumferences of two circles with radii R_(1) and R_(2) is equal to the circumference of a circle of radius R, then

Write expression for circumference of a circle of radius 'r'

Tangents are drawn at extremities AB of a diameter of a circle centred at P. If tangents drawn at a point C on the circle meet the other two tangents respectively at Q and R then measure of angle QPR is

If the area of a circle is A, radius of the circle is r and circumference of it is C, then

If the area of a circle is A, radius of the circle is r and circumference of it is C, then

In the following figure,PQ is the diameter of the circle with radius 5 cm. if AT is the tangent and equal to the radius of the circle, then find the lenth of AR.

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. The lengths of intercepts made by any circle on the coordinate axes ar...

    Text Solution

    |

  2. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  3. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

    Text Solution

    |

  4. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  5. Let L1 be a straight line passing through the origin and L2 be the s...

    Text Solution

    |

  6. Let A0A1A2A3A4A5 be a regular hexagon inscribed in a circle of unit ra...

    Text Solution

    |

  7. For each natural number k. Let C(k) denotes the circle with radius k c...

    Text Solution

    |

  8. C1 and C2 are circle of unit radius with centers at (0, 0) and (1, 0),...

    Text Solution

    |

  9. A chord of the circle x^2 + y^2 - 4x - 6y = 0 passing through the orig...

    Text Solution

    |

  10. On the line joining the points A (0,4) and B (3,0), a square ABCD is c...

    Text Solution

    |

  11. A circle with center at the origin and radius equal to a meets the axi...

    Text Solution

    |

  12. Equation of a circle having radius equal to twice the radius of the ci...

    Text Solution

    |

  13. A circle C1 of radius b touches the circle x^2 + y^2 =a^2 externally a...

    Text Solution

    |

  14. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  15. The locus of points of intersection of the tangents to x^(2)+y^(2)=a^...

    Text Solution

    |

  16. If theta is the angle subtended by the circle S -= x ^(2) + y ^(2) + 2...

    Text Solution

    |

  17. If the area of the quadrilateral formed by the tangent from the origin...

    Text Solution

    |

  18. An equation chord joining the points (1,2) and (2,-1) subtends an angl...

    Text Solution

    |

  19. An equation of a common tangent to the circle x ^(2) + y ^(2) + 14 x -...

    Text Solution

    |

  20. The locus of the point, the sum of the squares of whose distances from...

    Text Solution

    |