Question

if 1 by b + c, 1 by C + A, 1 by a + b are in AP then​

Answer 1

Step-by-step explanation:

यदि a , b और c A.P. में हो तो

2b = a + c

अतः 2(1/c+a) = (1/b+c) + (1/a+b)

2/c+a = (a + 2b + c)/(a+b)(b+c)

2(a+b)(b+c) = (a+2b+c)(a+c)

2(ab+ac+b²+bc)=a²+2ab+ac+ac+2bc+c²

2ab+2ac+2b²+2bc=a²+2ab+2ac+2bc+c²

2b² = a² + c²