Home
Class 12
MATHS
If x^2+y^2-2x+2a y+a+3=0 represents the ...

If `x^2+y^2-2x+2a y+a+3=0` represents the real circle with nonzero radius, then find the values of `adot`

A

`ain(-oo,-1)`

B

`ain(-1,2)`

C

`ain(2,oo)`

D

`ain(-oo,-1)uu(2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+y^(2)-2x+2ay+a+3=0 represents the real circle with nonzero radius,then find the values of a.

If ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle then a,bare

Knowledge Check

  • The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle of non-zero radius , if

    A
    ` g^(2) + f^(2) gt c `
    B
    `g^(2) + f^(2) lt c `
    C
    `g^(2) gt f^(2) + c `
    D
    `g^(2) lt f^(2) + c `

  • x ^(2) + hxy + y^(2) -6x -2y +k=0 is the equation of the circle and 2 is the radius of the circle, then find the values of h and k ?

    A
    `h =0, k =-6`
    B
    `h =0, k =6`
    C
    ` h=-3, k=6`
    D
    `h =3, k =6`

  • x ^(2) + y^(2) + (2K -1) xy -2x + 4y + 3=0 represents the equation of a circle, find k and radius of the circle ?

    A
    `-2, sqrt2`
    B
    `1/2, sqrt2`
    C
    `-2, sqrt3`
    D
    `2,sqrt3`

    • Similar Questions

    Explore conceptually related problems

    If x^(2)+y^2-4x+6y+c=0 represents a circle with radius 6 then c is

    If (2x + 3y + 1) + lambda ( x - 2y - 3) = 0 represents the equation of a horizontal line , then find the value of lambda .

    If the equation 2x^(2)+kxy+2y^(2)=0 represents a pair of real and distinct lines, then find the values of k.

    If the equation x^(2)+y^(2)+2 lambda x+4=0 and x^(2)+y^(2)-4 lambda y+8=0 represent real circles then the valueof lambda can be

    If 2(x^(2)+y^(2))+4 lambda x + lambda^(2)=0 represents a circle of meaningful radius, then the range of real values of lambda , is

    Home
    Profile