Home
Class 12
MATHS
Transform the equation x^(2)-3xy+11x-12y...

Transform the equation `x^(2)-3xy+11x-12y+36=0` to parallel axes through the point (-4, 1) becomes `ax^(2)+bxy+1=0` then `b^(2)-a=`

A

`(1)/(4)`

B

`(1)/(16)`

C

`(1)/(64)`

D

`(1)/(256)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|15 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 3|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

Transform the equation x^(2)+y^(2)=ax into polar form.

Transform 12x^(2)+7xy-12y^(2)-17x-31y-7=0 to rectangular axes through the point (1, -1) inclined at an angle tan^(-1)((4)/(3)) to the original axes.

The equation x^(2)+2xy+4=0 is transformed to the parallel axes through the point (6, lambda) . For what value of lambda its new form passes through the new origin ?

Find the point so that the equation : 12x^2 -10xy + 2y^2 + 11x-5y+2=0 referred to parallel axes through it may transform into one from which terms of the first degree in x and y are absent.

Find the equation of plane passing through the point (1,4,-2) and parallel to the plane 2x-y+3z=0

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5 = 0 .

Find the equation of the plane through the point (1,4,-2) and parallel to the plane 2x-y+3z+7=0 .

Find equation of the line parallel to the line 3x-4y+ 2=0 and passing through the point (-2, 3).

Find the equation of the line passing through the point (3,0,1) and parallel to the planes x+2y=0 and 3y-z=0.

ARIHANT MATHS-COORDINATE SYSTEM AND COORDINATES -Exercise For Session 4
  1. The equation of the locus of points equidistant from (-1-1) and (4,2...

    Text Solution

    |

  2. The equation of the locus of a point which moves so that its distance ...

    Text Solution

    |

  3. If the coordinates of a vartiable point P be (t+(1)/(t), t-(1)/(t)), w...

    Text Solution

    |

  4. If the coordinates of a variable point be (cos theta + sin theta, sin ...

    Text Solution

    |

  5. If a point moves such that twice its distance from the axis of x excee...

    Text Solution

    |

  6. The equation 4xy-3x^(2)=a^(2) become when the axes are turned through ...

    Text Solution

    |

  7. Transform the equation x^(2)-3xy+11x-12y+36=0 to parallel axes through...

    Text Solution

    |

  8. Find the locus of a point equidistant from the point (2,4) and the ...

    Text Solution

    |

  9. Find the equation of the locus of the points twice as from (-a, 0) as ...

    Text Solution

    |

  10. OA and OB are two perpendicular straight lines. A straight line AB is ...

    Text Solution

    |

  11. The ends of a rod of length l move on two mutually perpendicular lines...

    Text Solution

    |

  12. The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) r...

    Text Solution

    |

  13. What does the equation (a-b)(x^2+y^2)-2a b x=0 become if the origin...

    Text Solution

    |

  14. The equation x^(2)+2xy+4=0 is transformed to the parallel axes through...

    Text Solution

    |

  15. Show that if the axes be turned through 7(1^(@))/(2), the equation sqr...

    Text Solution

    |

  16. Find the angle through which the axes may be turned so that the equati...

    Text Solution

    |

  17. Transform 12x^(2)+7xy-12y^(2)-17x-31y-7=0 to rectangular axes through ...

    Text Solution

    |