Home
Class 12
MATHS
Two circles of radii a and b touching ea...

Two circles of radii `a and b` touching each other externally, are inscribed in the area bounded by `y=sqrt(1-x^2)` and the x-axis. If `b=1/2,` then `a` is equal to (a) `1/4` (b) `1/8` (c) `1/2` (d) `1/(sqrt(2))`

A

`(x-2)(x-8)+(y-4)(x-16)=0`

B

`(1)/(8)`

C

`(1)/(2)`

D

`(1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
`a=(1)/(4)`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curve y=2sqrt(1-x^(2)) and x-axis.

Find the area bounded by curves (x-1)^2+y^2=1 and x^2+y^2=1 .

Two circles with radii a and b touch each other externally such that theta is the angle between the direct common tangents, (a > bgeq2) . Then prove that theta=2sin^(-1)((a-b)/(a+b)) .

Find the area bounded by curves ( x - 1)^2 + y^2 = 1 and x^2 + y^2 = 1.

Find the area of the region bounded by the line y = 3x+2 ,the x-axis and the ordinates x = -1, x = 1 .

Find the area of the greatest rectangle that can be inscribed in an ellipse x^2/a^2 + y^2/b^2=1

Two circles x^2 + y^2 + 2x-4y=0 and x^2 + y^2 - 8y - 4 = 0 (A) touch each other externally (B) intersect each other (C) touch each other internally (D) none of these

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Two circles of radii a and b touching each other externally, are inscr...

    Text Solution

    |

  2. Find the derivative of (a/x^4 - b/x^2 + cosx)

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  5. Find the derivative of (4x - 2)

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Find the derivative of (ax + b)^n

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-1,1...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |