Home
Class 12
MATHS
Without rotating the original coordinate...

Without rotating the original coordinate axes, to which point should origin be transferred, so that the equation `x^2 + y^2-4x + 6y-7=0` is changed to an equation which contains no term of first degree?

A

(3,2)

B

`(-3,2)`

C

`(2,-3)`

D

`(-2,-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos
  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the point where origin is shifted is (-1,2) so that the equation 2x^(2)+y^(2)-4x+4y=0 become?

Without changing the direction of the axes, the origin is transferred to the point (2,3). Then the equation x^(2)+y^(2)-4x-6y+9=0 changes to

Find the point to which the origin should be shifted so that the equation y^(2)-6y-4x+13=0 is transformed to the form y^(2)+Ax=0

At what point the origin be shifted so that the equation x^(2)+xy3xy+2=0 does not contain any first degree term and constant term?

The origin shifted to (-5,3) then the equation y^(2)-12x+6y+69=0 changes as y^(2)=4ax then a

The origin is shifted to (1,2), the equation y^(2)-8x-4y+12=0 changes to Y^(2)+4aX=0 then a=

Keeping coordinate axes parallel, the origin is shifted to a point (1, –2), then transformed equation of x^2 + y^2 = 2 is -

Shift the origin to a suitable point so that the equation y^(2)+4y+8x-2=0 will not contain term of y and the constant term.

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 2-MCQS
  1. Which of the following to is the common region for x+y le 10, x ge 5, ...

    Text Solution

    |

  2. The function f(x)=(e^(tanx)-1)/(e^(tanx)+1) is discontinuous at x is e...

    Text Solution

    |

  3. Without rotating the original coordinate axes, to which point should o...

    Text Solution

    |

  4. if x^y . y^x =16 then dy/dx at (2,2) is equal to

    Text Solution

    |

  5. A spherical balloon is punped at the rate of 10 "inch"^(3) min^(-1), t...

    Text Solution

    |

  6. int(3+2cosx)/((2+3cosx)^(2))dx is equal to

    Text Solution

    |

  7. If int((sqrt(x))^(5))/((sqrt(x))^(7)+x^(6))dx=lamdaln(1+2cosx)/((2+cos...

    Text Solution

    |

  8. The value of int(0)^(pi//2)(1+2cosx)/((2+cosx)^(2))dx is

    Text Solution

    |

  9. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

    Text Solution

    |

  10. If sintheta=sinalpha, then

    Text Solution

    |

  11. The sum of of the mean and variance of a binomial distribution is 15 a...

    Text Solution

    |

  12. . Which one of the following is possible (a) sintheta = (a^2 + b^2)/(...

    Text Solution

    |

  13. Let alphaandbeta be such that piltalpha-betalt3pi. If sinalpha+si...

    Text Solution

    |

  14. If A is a square matrix of order 2xx2 such that A^(2)=O then,

    Text Solution

    |

  15. If G is the centroid of a DeltaABC, then GA^(2)+GB^(2)+GC^(2) is equal...

    Text Solution

    |

  16. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

    Text Solution

    |

  17. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2...

    Text Solution

    |

  18. If y^2 = p ( x ), a polynomial of degree 3, then 2 d/(dx) (y^3 (d^2y)/...

    Text Solution

    |

  19. A bag A contains 4 green and 3 red balls and bag B contains 4 red and ...

    Text Solution

    |

  20. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx

    Text Solution

    |