Home
Class 11
MATHS
Three concentrict circles of which the b...

Three concentrict circles of which the biggest is `x^2+y^2=1` , have their radii in A.P. If the line `y=x+1` cuts all the circles in real and distinct points. The interval in which the common difference of the A.P. will lie is :

A

`(0,1/4)`

B

`(0,1/2sqrt2)`

C

`(0,(2-sqrt2)/4)`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

The straight line y=mx+c cuts the circle x^2+y^2=a^2 at real points if

If S_(n) =nP +1/2 n (n-1) Q, where S_(n) is the sum of first n terms of an A.P. then the common difference of the A.P. will be-

In an A.P., the 1st term, last term and the sum of all term are 3, 39 and 525 respectively. Then the common difference will be

If an A.P., the sum of 1st n terms is 2n^2 + 3n , then the common difference will

Find the range of values of m for which the line y=m x+2 cuts the circle x^2+y^2=1 at distinct or coincident points.

If n - th term of an A.P be 2n-4 , then which one of the following is common difference ?

If x, 2x+1 and 14 are in A.P., then the value of x is -

The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at the points P and Q . The equation of the circle with pq as diameter is _

If the sum of n terms of an A.P. is nP+1/2n(n-1)Q , where P and Q are constants, find the common difference.

If the sum of n terms of an A.P. is nP+1/2n(n-1) Q, where P and Q are constants , find the common difference.

PATHFINDER-CIRCLE-QUESTION BANK
  1. If (a,0) is a point on a diameter of the circle x^2+y^2=4, then x^2-4x...

    Text Solution

    |

  2. If (alpha ,beta) is a point on the circle whose centre is on the x-axi...

    Text Solution

    |

  3. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

    Text Solution

    |

  4. A circle of constant radius 'r' passes through origin O and cuts the a...

    Text Solution

    |

  5. For each natural number k, let Ck denotes the circle with radius k uni...

    Text Solution

    |

  6. For each natural number k, let Ck denotes the circle with radius k uni...

    Text Solution

    |

  7. P is a variable point on the line L = 0. Tangents are drawn to the cir...

    Text Solution

    |

  8. P is a variable point on the line L = 0. Tangents are drawn to the cir...

    Text Solution

    |

  9. Match List - I with List-II

    Text Solution

    |

  10. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  11. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

  12. Radius of a circle cuts the x-axis at two points at distance 4 units f...

    Text Solution

    |

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

    Text Solution

    |

  14. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

    Text Solution

    |

  15. The equation of the circle which touches the axis of y at a distance +...

    Text Solution

    |

  16. The circle x^2+y^2-4x-4y+4=0 is inscribed in a triangle which has two ...

    Text Solution

    |

  17. Find the intervals of the values of 'a' for which the line y + x = 0 b...

    Text Solution

    |

  18. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  19. If y = mx is the equation of a chord of the circle x^2+y^2-2ax=0 with ...

    Text Solution

    |

  20. Find the locus of the mid point of the chord of the circle x^2+y^2=a^2...

    Text Solution

    |