Home
Class 12
MATHS
If the line y = mx + c is a common tang...

If the line y = mx + c is a common tangent to the hyperbola `(x^2)/(100) - (y^2)/(64) = 1` and the circle `x^2 + y^2 = 36` , then which one of the following is ture ?

A

`c^2 = 369`

B

5m=4

C

`4c^2 = 369 `

D

`8m + 5 = 0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

Find the value of m for which y=mx+6 is a tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1

The value of m for which y=mx+6 is a tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1 , is

Find the value of m for which y=mx+6 is tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1

Which one is common point to the hyperbola x^(2)-y^(2)=7 and the circle x^(2)+y^(2)=25 ?

If the line y=mx+c is a tangent to the ellipse x^(2)+2y^(2)=4 ,

The equation of the common tangent to the parabola y^(2) = 8x and the hyperbola 3x^(2) – y^(2) = 3 is

The foci of the hyperbola (x+1)^2/64-(y-2)^2/36=1 are

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. If L = sin^2 ((pi)/(16)) - sin^2 ( pi/8) and M = cos^2 ( (pi)/(16...

    Text Solution

    |

  2. If a + x = b + y = c + z + 1 , where a, b,c,x,y,z are non polar distin...

    Text Solution

    |

  3. If the line y = mx + c is a common tangent to the hyperbola (x^2)/(10...

    Text Solution

    |

  4. Which of the following points lies on the tangent to the curve x^4 e^y...

    Text Solution

    |

  5. The statement (p to (q to p)) to (p to (p vv q) ) is :

    Text Solution

    |

  6. underset(x to 0)(lim)(x(""(e)^((sqrt(1+x^(2)+x^(4))-1)/x)-1))/(sqrt(1+...

    Text Solution

    |

  7. If the sum of the first 20 terms of the series log((7^(1//2)))x + l...

    Text Solution

    |

  8. the derivation of tan^-1((sqrt(1+x^2)-1)/x) with respect to tan^-1((2...

    Text Solution

    |

  9. If int(cos theta)/(5 + 7 sin theta - 2 cos^2 theta) d theta = A loge |...

    Text Solution

    |

  10. Let y = y (x) be the solution of the differential equation cos x (...

    Text Solution

    |

  11. If the length of the chord of the circle , x^2 + y^2 = r^2 (r gt 0) a...

    Text Solution

    |

  12. If the mean and the standard deviation of the data 3,5,7,a,b are 5 an...

    Text Solution

    |

  13. If for some alpha in R, the lines L1 : (x + 1)/(2) = (y-2)/(-1) = (...

    Text Solution

    |

  14. There are three sections in a question paper, each containing 5 questi...

    Text Solution

    |

  15. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^6

    Text Solution

    |

  16. In a bombing attack , there is 50% chance that a bomb will hit target ...

    Text Solution

    |

  17. If the lines x + y =a and x - y = b touch the curves y = x^2 -3 x + 2 ...

    Text Solution

    |

  18. Let the vectors veca, vecb, vecc be such that |veca| = 2 |vecb| = 4 " ...

    Text Solution

    |

  19. Let A = { a, b,c } and B = {1, 2, 3, 4} . Then the number of elements ...

    Text Solution

    |

  20. The consists of 6 multiple choice questions, each having 4 alternative...

    Text Solution

    |