Question

If f(x) = {(ax² - b, when 0 ≤ x < 1), (2, when x = 1), ( x + 1, when 1 < x ≤ 2) is continuous at x = 1, then the most suitable value of a, b are 

(A) a = 2, b = 0 

(B) a = 1, b = -1 

(C) a = 4, b = 2 

(D) All the above

Answer 1

Answer is (D) All the above

All the given sets of a, b make f(x) continuous at x = 1.