Q1 of 101 Page 24

Find the coordinates of the centre radius of each of the following circle:

2x2 + 2y2 – 3x + 5y = 7

Given equation of the circle is 2x2 + 2y2 - 3x + 5y = 7


⇒ ..... (1)



We know that for a circle x2 + y2 + 2ax + 2by + c = 0 …… (2)


⇒ Centre = (- a, - b)


⇒ Radius =


Comparing (1) with (2) we get,


⇒ Centre =


⇒ Centre =


⇒ Radius =


⇒ Radius =


⇒ Radius =


⇒ Radius =


∴ The centre and radius of the circle is and .


More from this chapter

All 101 →
21

If the line 2x – y + 1 = 0 touches the circle at the point (2, 5) and the centre of the circle lies on the line x + y – 9 = 0. Find the equation of the circle.

 1

Find the coordinates of the centre radius of each of the following circle:

x2 + y2 + 6x - 8y - 24 = 0

 1

Find the coordinates of the centre radius of each of the following circle:

1

Find the coordinates of the centre radius of each of the following circle:

x2 + y2 – ax – by = 0