Home
Class 12
MATHS
If r1a n dr2 are the radii of the smalle...

If `r_1a n dr_2` are the radii of the smallest and the largest circles, respectively, which pass though (5, 6) and touch the circle `(x-2)^2+y^2=4,` then `r_1r_2` is (a) `4/(41)` (b) `(41)/4` `5/(41)` (d) `(41)/6`

A

`(4)/(41)`

B

`(41)/(4)`

C

`(5)/(41)`

D

`(41)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If r_1a n dr_2 are the radii of the smallest and the largest circles, respectively, which pass though (5, 6) and touch the circle (x-2)^2+y^2=4, then r_1r_2 is (a) 4/(41) (b) (41)/4 (c) 5/(41) (d) (41)/6

If r_(1) and r_(2) be the maximum and minimum radius of the circle which pass through the point (4, 3) and touch the circle x^(2)+y^(2)=49 , then (r_(1))/(r_(2)) is …….

If r_(1) and r_(2) be the maximum and minimum radius of the circle which pass through the point (4, 3) and touch the circle x^(2)+y^(2)=49 , then (r_(1))/(r_(2)) is …….

Find the equation of the circle which passes through (6,5) (4,1) and whose centre lies on 4x+y-16=0

If radii of the smallest and the largest circle passing through ( sqrt( 3) ,sqrt(2)) and touching the circle x^(2) +y^(2) - 2 sqrt( 2)y -2=0 are r_(1) and r_(2) respectively, then find the mean of r_(1) and r_(2) .

find the equation circle which is passes through the points (4,1),(6,5) and centre lies on 4x+y=16 is

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre lies on the line 4x+ y = 16.

The co-ordinates of the middle point of the chord cut off on 2x - 5y +18= 0 by the circle x^2 + y^2 - 6x + 2y - 54 = 0 are (A) (1,1) (B) (2, 4) (C) (4,1) (D) (1, 4)

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)

The coordinates of the middle point of the chord cut-off by 2x-5y+18=0 by the circle x^2+y^2-6x+2y-54=0 are (1,4) (b) (2,4) (c) (4,1) (d) (1,1)

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

    Text Solution

    |

  2. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  3. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  4. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  5. If the chrod of contact of tangents from a point (x(1),y(1)) to the ci...

    Text Solution

    |

  6. The circle S(1) with centre C(1) ( a(1), b(1)) and radius r(1) touche...

    Text Solution

    |

  7. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  8. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

    Text Solution

    |

  9. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

    Text Solution

    |

  10. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

    Text Solution

    |

  11. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

    Text Solution

    |

  12. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

    Text Solution

    |

  13. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  14. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

    Text Solution

    |

  15. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  16. The radical centre of three circles described on the three sides x+y=5...

    Text Solution

    |

  17. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

  18. The number of rational point(s) [a point (a, b) is called rational, if...

    Text Solution

    |

  19. The point ( [ P + 1 ] , [ P ] ) (where [.] denotes the greatest in...

    Text Solution

    |

  20. The circles ax^(2)+ay^(2)+2g(1)x+2f(1)y+c(1)=0" and "bx^(2)+by^(2)+2g(...

    Text Solution

    |