Q. 54.4( 8 Votes )

Find the equation

Answer :

The general form of the equation of a circle is:


(x - h)2 + (y - k)2 = r2


Where, (h, k) is the centre of the circle.


r is the radius of the circle.


Substituting the centre and radius of the circle in he general form:


(x - ( - a ))2 + (y - ( - b))2 = (a22 - b22 )2


(x + a )2 + (y + b)2 = a2 - b2


x2 + 2xa + a2 + y2 + 2yα + b2 = a2 - b2


x2 + 2xa + y2 + 2yα = a2 - 2b2


x2 + y2 + 2a(x + y) = a2 - 2b2


x2 + y2 + 2a(x + y) = a2 - 2b2


Ans; equation of a circle with Centre ( - a, - b) and radius


is:


x2 + y2 + 2a(x + y) = a2 - 2b2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The equation of tRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

Show that tRD Sharma - Mathematics

If the circle x<sRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

Find the eqRD Sharma - Mathematics

The circle xRD Sharma - Mathematics

If the circles x<RD Sharma - Mathematics

If the centroid oRD Sharma - Mathematics