Question

 

Find the centre and radius of the circle 

             2x2 + 2y2 = 3x – 5y + 7

Solution

Correct option is

 

The given equation of circle is

             2x2 + 2y2 = 3x –5y + 7

  

                                              

SIMILAR QUESTIONS

Q1

Find the equation of the image of the circle x2 + y2 + 16x – 24y + 183 = 0 by the line mirror 4x + 7y + 13 = 0.

Q2

Find the equation of the normal to the circle x2 + y2 = 2x, which is parallel to the line x + 2y = 3.

Q3

 

Find the equation of the circle which cuts orthogonally each of the three circles given below: 

x2 + y2 – 2x + 3y – 7 = 0, x2 + y2 + 5x – 5y + 9 = 0 and x2 + y2 + 7x – 9x + 29 = 0.

Q4

Circum centre of the triangle PT1T2 is at

Q5

If P is taken to be at (h, 0) such that P’ lies on the circle, the area of the rhombus is

Q6

Locus of mid-point of the chords of contact of x2 + y2 = 2 from the points on the line 3x + 4y = 10 is a circle with centre P. If O be the origin then OP is equal to

Q7

Suppose ax + bx + c = 0, where abc are in A.P. be normal to a family or circles. The equation of the circle of the family which intersects the circle x2 + y2 – 4x – 4y – 1 = 0 orthogonally is

Q8

Find the equation of chord of x2 + y2 – 6x + 10y – 9 = 0 which is bisected at (–2, 4).

Q9

Find the equation of that chord of the x2 + y2 = 15 which is bisected at (3, 2).

Q10

Find the equation of the circle whose centre is the point of intersection of the lines 2x – 3y + 4 = 0 and 3x + 4y – 5 = 0 and passes through the origin.