If the sum of the squares of the intercepts on the axes cut *** by the tangent to the curve x1/3 + y1/3 = a1/3 (with a > 0) at (a/8, a/8) is 2, then a has the value
(a) 1 (b) 2 (c) 4 (d) 8
Correct option (c) 4
Explanation:
The equation of the tangent at (a/8, a/8) is given by
The x and y intercepts of this line on the coordinate axes are each equal to a/4, So we have
