Question

If a, b and c are real such that a2 + 9b2 - 4c2 - 6ab = 0, then the line ax + by + c = 0 always passes through the point with negative ordinate

(A) (-1/2, -3/2)

(B) (1/2, 3/2)

(C) (1/2, - 3/2)

(D) (-1/2, 3/2)

Answer 1

Correct option**(C) (1/2, - 3/2)**

Explanation :

We have

Therefore, the line ax + by + c = 0 passes through the points

(1/2, -3/2) and (-1/2,3/2)

, Since the ordinate is negative, the point

(1/2, -3/2)