1.

If the line x + 2ky + 3 = 0 is a diameter of the circle x2 + y2 - 6x + 2y = 0, then k is equal to(a) 3 (b) -5(c) -1 (d) 5

Answer»

Correct option: (a) 3

Explanation: 

Given,

Equation of Circle: x2 + y2 - 6x + 2y = 0

x2 + y2 - 6x + 2y = 0

=> (x - 3)2 + (y + 1)2 = 10

From the above equation,

Centre: (3, -1)

Radius: √10

Since centre lies on the diameter so,

(3, -1) will lie on the diameter x + 2ky + 3 = 0

=> 3 - 2k + 3 = 0

=> 6 - 2k =0

=> k = 3



Discussion

No Comment Found

Related InterviewSolutions