JEE Main201911 Jan 2019Morning ShiftMathematicsCircleActual
Two circles with equal radii are intersecting at the points (0,1) and (0,-1) . The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is:
Options
- A1
- B2
- C2 2
- D2
Correct answer
B. 2
Step-by-step solution
Two circles of equal radii intersect each other orthogonally. Then R is mid point of P Q . and P R=O₁ R=O₂ RP R= 1 2 (0-0)²+(1+1)² =1 Distance between centres =1+1=2 .