Question Of The Day

If (a+b)/(b+c) = (c+d)/(d+a), then

a) a = c

b) either a = c or a + b + c + d = 0

c) a + b + c + d = 0

d) a = c and b = d

Ans: b) either a = c or a + b + c + d = 0

(a+b)/(b+c) = (c+d)/(d+a) = k(say)

(a+b) + (c+d)  = k(b+c) + k(d+a) or (k – 1)(a + b + c + d) = 0

Either a + b + c +d = 0 or k = 1 ⇒ a + b = b = b +c ⇒ a =