Home
Class 12
MATHS
The equation x^(2)+2xy+4=0 is transforme...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
`-3(1)/(3)`
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)-3xy+11x-12y+36=0 to parallel axes through the point (-4, 1) becomes ax^(2)+bxy+1=0 then b^(2)-a=

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 line passes through the point (-5,5) and parallel to x-axis. Find its equation.

Find the equation of a line parallel to x-axis and passing through the origin.

Write the equations of aline passing through the point (4,6) and parallel to y-axis.

Write the equations of a line passing through the point (0,3) and parallel to x-axis.

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

Statement 1: A plane passes through the point A(2,1,-3)dot If distance of this plane from origin is maximum, then its equation is 2x+y-3z=14. Statement 2: If the plane passing through the point A( vec a) is at maximum distance from origin, then normal to the plane is vector vec adot

Find the equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (- 2, 5).

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

    |