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 `a`.

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 ENGLISH|Exercise Exercise For Session 2|17 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|16 Videos

  • CIRCLE

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

  • BIONOMIAL THEOREM

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

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of a if 2x^(2)+ay^(2)-2x+2y-1=0 represents a circle and also find its radius. (ii) Find the values of a,b if ax^(2)+bxy+3y^(2)-5x+2y-3=0 represents a circle. Also find the radius and centre of the circle. (iii) If x^(2)+y^(2)+2gx+2fy=0 represents a circle with centre (-4,-3) then find g,f and the radius of the circle. (iv) If the circle x^(2)+y^(2)+ax+by-12=0 has the centre at (2,3) then find a ,b and the raidus of the circle. (v) If the circle x^(2)+y^(2)-5x+6y-a=0 has radius 4 , find a

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

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

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of p and q .

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

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

If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle, then find the values of pa n dqdot

If the equation x^2-y^2-2x-2y+c=0 represent an empty set , then find the value of c.

If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersects at points P and Q , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

Find the area of the circle x^2+y^2=a^2 with radius a

Home
Profile