Home
Class 12
MATHS
The equation x^(2)+y^(2)+2gx+c=0 where g...

The equation `x^(2)+y^(2)+2gx+c=0` where g is a parameter and c is a constant represents a family of coaxial circles any two members of which have the radical axis

Text Solution

Verified by Experts

The correct Answer is:
x=0
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (True and False Type Questions) |3 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

The equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a circle if

For the equation ax^(2) +by^(2) + 2hxy + 2gx + 2fy + c =0 where a ne 0 , to represent a circle, the condition will be

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

Statement-1: If limiting points of a family of co-axial system of circles are (1, 1) and (3, 3), then 2x^(2)+2y^(2)-3x-3y=0 is a member of this family passing through the origin. Statement-2: Limiting points of a family of coaxial circles are the centres of the circles with zero radius.

If the equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle with X-axis as a diameter , and radius a, then :

Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for different values of a , a system of circles passing through two fixed points lying on the x-axis. Statement 2 : S=0 is a circle and L=0 is a straight line. Then S+lambdaL=0 represents the family of circles passing through the points of intersection of the circle and the straight line (where lambda is an arbitrary parameter).

If the circle x^(2)+y^(2)+2gx+2fy+c=0 touches y -axis then the condition is

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then