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`

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the given equation of the circle and apply the conditions for it to represent a real circle with a non-zero radius. ### Step 1: Identify the given equation The given equation is: \[ x^2 + y^2 - 2x + 2ay + a + 3 = 0 \] ### Step 2: Compare with the general equation of a circle The general equation of a circle is given by: ...
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CENGAGE ENGLISH|Exercise Examples|13 Videos

  • CIRCLE

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 4.1|1 Videos

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise Matrix|4 Videos

  • CIRCLES

    CENGAGE ENGLISH|Exercise Comprehension Type|8 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 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 p and q .

If the line x+y=a touches the parabola y=x-x^2, then find the value of adot

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 pa n dqdot

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 y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

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