b^y = c and c^z = a then prove that:- xyz=1. Mr. Bidur Bastola

If a, b and c are in the G.P such that a^(1/x) = b^(1/y) = c^(1/z), prove that: x+z=2y.

If xª = y, y^b = z and z^c = x, then prove that:- abc = 1.

If a^x = b, b^y = c and c^z = a then prove that:- xyz=1.

If a^x = b^y = c^z and abc = 1, then prove that:- 1/x + 1/y + 1/z = 0.

If ath root under x = bth root under y = cth root under z and xyz=1, then prove that :- a+b+c=0.

If x, y and z are in G.P, such that x^a = y^b = z^c then prove that: 1/a + 1/c =2/b

If a^x = b^y = c^z and b^2 = ac then prove that :- 2/y = 1/x + 1/z.

If 2^x = 3^y = 12^z then prove that: 2/x + 1/y - 1/z = 0.

If 2ª=5^b = (100)^c, then prove that:- 2(a+b) = ab/c

If a,b,c are pth, qth and rth term of an A.P, prove that : p(b-c)+q(c-a)+r(a-b)=0.

Simplify: x/(x-y)(x-z) + y/(y-z)(y-x) + z/(z-x)(z-y)

Three people Sagar, Basanta and Krishna are walking on the two edges of a straight road of 6 m width

Full concept of remainder theorem and factor theorem of polynomial with example.