Home
Class 12
MATHS
The length (in units) of tangent from po...

The length (in units) of tangent from point `(5, 1)` to the circle `x^2+y^2+6x-4y-3=0` is

A

81

B

29

C

7

D

21

Text Solution

Verified by Experts

The correct Answer is:
C

Length of tangent from (5,1)to the circle =`sqrt(S_(1))`
= sqrt(5^(2) +1^(2) + 6.5 - 4.1 -3)`
` = sqrt49 = 7` units
Promotional Banner

Topper's Solved these Questions

  • PLANE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|9 Videos
  • PRACTICE SET 02

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics )|50 Videos

Similar Questions

Explore conceptually related problems

Length of tangent from (8,6) to the circle x^(2)+y^(2)-3x-4y+2=0

The equation of the tangent from the point (0, 1) to the circle x^(2)+y^(2)-2x-6y+6=0

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
  1. The value of int(-pi//4)^(pi//4) x^(3) sin^(4) x dx is equal to

    Text Solution

    |

  2. Area bounded by the curves y = x ,y = tanx and x = pi/4 is

    Text Solution

    |

  3. The solution of differential edquation (dy)/(dx) +1 = cosec (x+y) is

    Text Solution

    |

  4. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

    Text Solution

    |

  5. int \ sin x \ d(cos x) is equal to

    Text Solution

    |

  6. lim(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

    Text Solution

    |

  7. If f(x)={(sqrt(1+k x)-sqrt(1-k x))/x for 1 le x< 0 and 2x^2+3x-2 for...

    Text Solution

    |

  8. Two cards drawn without replacement from a well shuffled pack of 52 ca...

    Text Solution

    |

  9. The minimum value of linear objective function z =2x + 2y under linear...

    Text Solution

    |

  10. The angle between the line x/2 = y/3 = z/4 and the plane 3 x + 2y -3z...

    Text Solution

    |

  11. Which of the following is not a proposition ?

    Text Solution

    |

  12. A line AB in three-dimensional space makes angles 45oa n d""120o with ...

    Text Solution

    |

  13. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  14. if a = (2,1,-1) , b= (1,-1,0) , c = (5,-1,1) then unit vector parallel...

    Text Solution

    |

  15. The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interv...

    Text Solution

    |

  16. A circle of radius sqrt8 is passing through origin the point (4,0) . ...

    Text Solution

    |

  17. The length (in units) of tangent from point (5, 1) to the circle x^2+y...

    Text Solution

    |

  18. The curve 5x^2 + 12xy - 22x - 12y -19 = 0 is.

    Text Solution

    |

  19. The locus of the point of intersection of the tangents at the extre...

    Text Solution

    |

  20. The length of the straight line x-3y=1 intercepted by the hyperbola x^...

    Text Solution

    |