Home
Class 12
MATHS
A tangent is drawn to the circle 2x^(2) ...

A tangent is drawn to the circle `2x^(2) + 2y^(2) -3x + 4y = 0` at the point 'A' and it meets the line `x+y=3` at B(2,1) then AB=

A

`sqrt10`

B

2

C

`2sqrt2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2012

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2014

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

The ltngth of the tangtnt drawn to the circle x^(2)+y^(2)-2 x+4 y-11=0 from the point (1,3) is

The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is at the point (3,1) on it is

Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at P (- 4, 0). Then the area of the quadrilateral PAOB, O being the origin, is :

Tangtnts drawn from the point (4,3) to the circle x^(2)+y^(2)-2 x-4 y=0 are inclined at an anglt

The tangent drawn at the point (0,1) on the curve y = e^(2x) meets x-axis at the point

Tangents drawn from the point P (1, 8) to the circle x^2+ y^2 - 6x - 4y - 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is:

A tangent to the circle x^2 + y^2 = 1 through the point (0, 5) cuts the centre x^2 + y^2 = 4 at P and Q. The tangents to the circle x^2 + y^2 = 4 at P and Q meet at R. Then the co-ordinates of R are :

If 3x + y + k = 0 is a tangent to the circle x^(2) + y^(2) = 10 , the values of k are,

The equation of the normal to the circle x^(2)+y^(2)+6 x+4 y-3=0 at (1,-2) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2013-Mathematics
  1. If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) ...

    Text Solution

    |

  2. If vec(a) is vector perpendicular to both vec(b) and vec(c ), then

    Text Solution

    |

  3. A tangent is drawn to the circle 2x^(2) + 2y^(2) -3x + 4y = 0 at the p...

    Text Solution

    |

  4. The area of the circle having its centre at (3,4) and touching the lin...

    Text Solution

    |

  5. The number of real circles culting orthogonally the circle x^(2) + y^(...

    Text Solution

    |

  6. The length of the chord of the circle x^(2) + y^(2) + 3x + 2y -8 = 0 i...

    Text Solution

    |

  7. A -= (cos theta , sin theta), B -= (sin theta, -cos theta) are two poi...

    Text Solution

    |

  8. The sum of the squares of the eccentricities of the conics (x^(2))/(4)...

    Text Solution

    |

  9. The equation of the tangent to the parabola y^(2) = 4x inclined at an ...

    Text Solution

    |

  10. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  11. If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + ...

    Text Solution

    |

  12. cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

    Text Solution

    |

  13. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  14. The general solution of sin x - cos x= sqrt2, for any integer 'n' is

    Text Solution

    |

  15. The modulus and amplitude of (1 + 2i)/(1-(1-i)^(2)) are

    Text Solution

    |

  16. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

  17. If x+ y = tan^(-1) y and (d^(2)y)/(dx^(2)) =f (y) (dy)/(dx), then f(y)...

    Text Solution

    |

  18. f(x) = {(2a-x", when" a lt x lt a),(3x-2a ", when " a le x):}. Then wh...

    Text Solution

    |

  19. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

    Text Solution

    |

  20. If f (x) is a function such that f''(x)+f(x)=0 and g(x)=[f(x)]^(2)+[f'...

    Text Solution

    |