Question

Four points A,B,C and D lie in that order on the parabola  y = ax² + bx + c . The coordinates of A,B and D are respectively (-2,3),(-1,1) ,(2,7). The coordinates of C for which the area of the quadrilateral ABCD is the greatest are

(A) (1,3)

(B)  (3/2,19/4)

(C)  (1/2, 7/4)

(D) none of these

Answer 1

Correct option  (C)  (1/2, 7/4)

  Explanation:

Area of the quadrilateral ABCD is maximum if area of ΔBCD, is maximum.