Home
Class 12
MATHS
Let two circles having radii r(1) and r(...

Let two circles having radii `r_(1) and r_(2)` are orthogonal to each other. If the length of their common chord is k times the square root of harmonic mean between the squares of their radii, then `k^(4)` is equal to

A

13

B

7

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 21

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 24

    NTA MOCK TESTS|Exercise MATHS|25 Videos

Similar Questions

Explore conceptually related problems

The circles having radii r_(1) andr _(2) intersect orthogonally.The length of their common chord is

The circles having radii r1 and r2 intersect orthogonally Length of their common chord is

Two circles whose radii are equal to 4 and 8 intersect at right angles.The length of their common chord is-

Two circles with radii 25 cm and 9 cm touch each other externally. The length of the direct common tangent is

If two circles have radii 10 cm and 15cm and they touch each other. Find the distance between their centres.

There are two orthogonal circles with radii 5 and 12 units,t hen the length of their common chord is

Two circles of radii 10cm and 8cm intersect and the length of the common chord is 12cm. Find the distance between their centres.

Two circles of radii 15 cm and 10 cm intersecr each and the length of their common chord is 16 cm. What is the distance (in cm) between their centres ?

NTA MOCK TESTS-JEE MOCK TEST 23-MATHEMATICS
  1. The greatest integer less than or equal to (sqrt2+1)^6 is

    Text Solution

    |

  2. If cos x-sinx=-(5)/(4), where (pi)/(2)ltx lt(3pi)/(4), then cot((x)/(2...

    Text Solution

    |

  3. In DeltaPQR, the equation of the internal angle bisector of angle Q is...

    Text Solution

    |

  4. Let the lines l(1) and l(2) be normals to y^(2)=4x and tangents to x^(...

    Text Solution

    |

  5. The value of lim(xrarroo)((lnx)^(2))/(2+3x^(2)) is equal to

    Text Solution

    |

  6. The value of lim(nrarroo)Sigma(r=1)^(n)((2r)/(n^(2)))e^((r^(2))/(n^(2)...

    Text Solution

    |

  7. The direction cosines l, m and n of two lines are connected by the rel...

    Text Solution

    |

  8. The function f(x)=x^(3)-ax has a local minimum at x=k, where k ge 2, t...

    Text Solution

    |

  9. Let two circles having radii r(1) and r(2) are orthogonal to each othe...

    Text Solution

    |

  10. The value of int(0)^((pi)/(2))(cos 2x cos 2^(2)x cos 2^(3)x cos 2^(4)x...

    Text Solution

    |

  11. Let A be a matrix of order 3xx3 such that |A|=3. Let B=3A^(-1) and C =...

    Text Solution

    |

  12. Let (hatp xxvecq)xx hatp+(hatp. vecq)vecq=(x^(2)+y^(2))vecq+(14-4x-6...

    Text Solution

    |

  13. If p and q are two statements, then which of the following statement i...

    Text Solution

    |

  14. In an equilateral triangle ABC, equation of the sides BC is x+y-2=0 an...

    Text Solution

    |

  15. The minimum distance between the curves y=tanx, AA x in (-(pi)/(2),(p...

    Text Solution

    |

  16. A fair die is thrown n number of times. If the probability of always g...

    Text Solution

    |

  17. How many 4 letter words can be formed from the word "MATHEMATICS" ?

    Text Solution

    |

  18. If f(x)={{:((1+|sinx|)^((p)/(|sinx|)),",",-(pi)/(6)ltxlt0),(q,":",x=0)...

    Text Solution

    |

  19. If f(x)=sinx, g(x)=cosx and h(x)=cos(cosx), then the integral I=int f(...

    Text Solution

    |

  20. If numerically greatest term in the expansion of (3-5x)^(11), where x=...

    Text Solution

    |