Home
Class 12
MATHS
The general solution of the differential...

The general solution of the differential equation of all circles having centre at A(-1, 2) is ..... .

A

`x^(2)+y^(2)+x-2y+c=0`

B

`x^(2)+y^(2)-2x+4y+c=0`

C

`x^(2)+y^(2)-x+2y+c=0`

D

`x^(2)+y^(2)+2x-4y+c=0`

Text Solution

Verified by Experts

The correct Answer is:
D
General equation of a circle with centre (-g,-f) is
`x^(2)+y^(2)+2gx+2fy+c=0` ltbr gt If `(-g,-f)=A(-1,2)`
Then equation of circle,
`x^(2)+y^(2)+2x-4y+c=0`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2018

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

  • MHTCET 2019 PAPER 2

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

Similar Questions

Explore conceptually related problems

Obtain the differential equation of all circles of radius r.

The general solution of the differential equation (x^2+xy)y'=y^2 is

The general solution of the differential equation (dy)/(dx)=2x+5 is

Obtain the differential equation of the family of circles : with centre at (1, 2)

Form the differential equation of all the circles whose centre is at origin.

General solution of the differential equation (dy)/(dx)=1+x + y is

The differential equation of all circles whose radius is 5 centre is any point (h,k) is

The differenital equation of all circles whose centres are at the origin is

What is the differential equation of all circles whose centres are at the origin is

Form the differential equation of the family of circles having centre on y-axis and radius 3 units.

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2019 PAPER 1-MATHEMATICS
  1. Which of the following is not equivalent to p to q.

    Text Solution

    |

  2. The value of int(-3)^(3)(ax^()+bx^(3)+cx+k)dx, where a,b,c,k are const...

    Text Solution

    |

  3. The general solution of the differential equation of all circles havin...

    Text Solution

    |

  4. If A non-singular matrix such that (A-2l)(A-4l)=0 then A=8A^(-1)= . .

    Text Solution

    |

  5. If G(3, -5, r) is centroid of triangle ABC where A(7, - 8, 1), B(p, q,...

    Text Solution

    |

  6. int1/((x^(2)+1)^(2))dx=…

    Text Solution

    |

  7. If theta=(17pi)/3 then, tantheta-cottheta= …

    Text Solution

    |

  8. Derivative of log(e^(2))(logx) with respect to x is . . .

    Text Solution

    |

  9. In DeltaABC, with usual notations, if cosA=(sinB)/(sinC), then the tri...

    Text Solution

    |

  10. For a GP, if (m+n)^(th) term is p and (m-n)^(th) term is q, then m^(th...

    Text Solution

    |

  11. A random variable X has following probability distribution Then P...

    Text Solution

    |

  12. The equation of normal to the curve y = log(e) x at the point P( 1, 0)...

    Text Solution

    |

  13. The value of x in (0,(pi)/(2)) satisfying the equation sin x cos x =(1...

    Text Solution

    |

  14. If a+b, b+c and ca are coterminous edges of a parallel opiped then its...

    Text Solution

    |

  15. If the c.d.f (cumulative distribution function) is given by F(x)=(x-25...

    Text Solution

    |

  16. The joint equation of pair of straight lines passing through origin an...

    Text Solution

    |

  17. The angle between lines (x-2)/1=(y-3)/2=(z-5)/2and (x-2)/2=(y-3)/-2=(z...

    Text Solution

    |

  18. If the line passes through the points P(6, - 1, 2), Q (8, -7, 2A) and ...

    Text Solution

    |

  19. The equivalent for of the statement ~(p to ~ q) is

    Text Solution

    |

  20. If A={x in R//x^(2)+5|x|+6=0} then n(A)= . . .

    Text Solution

    |