Home
Class 10
MATHS
Two circles joinedat 'C'. Chord AB of th...

Two circles joinedat 'C'. Chord AB of the large circle touches the small circle at M. Radius of the small circle is,r and of the large circle is 'R'. If 'M A=M B=a', prove that 'a^2=4 r(R-r)'.
'(##VPU_TTT_MAT_X_P02_C07_E10_007_Q01##)'

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|28 Videos

  • TRIGONOMETRY

    V PUBLICATION|Exercise QUESTION BANK|101 Videos

Similar Questions

Explore conceptually related problems

In the figure, O is the centre of both the circles. AB and AC touch the small circle at P and Q.A,B and C are points on the large circle. Prove that Ab=AC . .

Find the rate of change of the area of a circle with respect to its radius r when r = 4 cm.

In the figure, O is the centre of both the circles. AB and AC touch the small circle at P and Q.A,B and C are points on the large circle. If AP=5 centimetres, then what is the length of AQ? .

V PUBLICATION-TANGENTS-QUESTION BANK
  1. In the figure, tangent through the point A touches the circle, at B. D...

    Text Solution

    |

  2. Two circles with centres 'A' and B have radii '8 cm' and '3 cm' respec...

    Text Solution

    |

  3. (##VPUTTTMATXP02C07E10005Q01##)' Two circles with radii 'dotR' and '...

    Text Solution

    |

  4. (##VPUTTTMATXP02C07E10006Q01##)' In the figure two circles intersect...

    Text Solution

    |

  5. Two circles joinedat 'C'. Chord AB of the large circle touches the sma...

    Text Solution

    |

  6. Draw a circle of radius 3 centimetres. Mark a point P at a distance 6 ...

    Text Solution

    |

  7. In the figure chord 'B C' is extended tò 'P'. Tangent from 'P' to the ...

    Text Solution

    |

  8. In the figure 'C' is the centre of the circle, 'P A' and 'P B' are tan...

    Text Solution

    |

  9. Draw a circle of radius 3 centimetres. Mark a point 7 centimetres away...

    Text Solution

    |

  10. In the figure, the circle with centre O is the excircle of the right t...

    Text Solution

    |

  11. Draw a circle with radius '2.5 cm'. Draw a triangle of two angles 50,6...

    Text Solution

    |

  12. if length of the chord 'AB' is 18 centimetres. The chord is extended t...

    Text Solution

    |

  13. AP is the tangent to the circle with centre at 'O' and radius 4 centim...

    Text Solution

    |

  14. Calculate the area and perimeter of a triangle of sides 30 centimetre,...

    Text Solution

    |

  15. In the figure, AC is a tangent to the circle with centre O . More over...

    Text Solution

    |

  16. In the fiqure, 'P' is the centre of the excircle of triangle 'ABC'. '...

    Text Solution

    |

  17. Draw a triangle with measures '50^circ, 60^circ', and '70^circ' and in...

    Text Solution

    |

  18. In the figure, OA is a radius and PA is.the tangent to the circle at '...

    Text Solution

    |

  19. In the figure, 'PA, PB' are two tangents to the circle with centre 'O'...

    Text Solution

    |

  20. In the figure, PT, PS are tangents to the large circle and small circl...

    Text Solution

    |