(X) (Y) (Z) Stability order among these tautomer is : (A) X > Y>Z (B) Y> X>Z (C)Z>X>Y (DY>Z>X

The following steps are involved in finding the value of (a^(x+y))^(x-y)(a^(y+z))^(y-z)(a^(z+x))^(z-x) . Arrange them in sequantial order. (A) a^((x+y)(x-y).a^(y+z)(y-z).a^((z+x)(z-x)) (B) a^0=1 (C) a^(x^2-y^2).a^(y^2-z^2).a^(z^2-x^2) (D) a^(x^2-y^2+y^2-z^2+z^2-x^2)

Identify the monomials, binomials, trinomials and quadrinomials among the following algebraic expressions: (i) a x+b y+c z+d (ii) 3x y z (iii) x+y+z-x y z

If x/(b +c) = y/(c+a) = z/(a + b) , then show that a/(y+z-x) = b/(z+x - y) = c/(x + y - z) .

A person travels three equal distances at a speed of x km/hr, y km/hr and z knyhr respectively. What is the average speed for the whole journey? (x y z)/(3(x y+y z+z x)) b. (x y z)/((x y+y z+z x)) c. ((x y+y z+z x))/(x y z) d. (3x y z)/((x y+y z+z x))

If (x(y+z-x))/log x = (y(z+x-y))/log y = (z(x+y-z))/log z ," prove that "x^(y) y^(x) = z^(y) y^(z) = x^(z) z^(x) .

If (x(y+z-x))/log x = (y(z+x-y))/log y = (z(x+y-z))/log z ," prove that "x^(y) y^(x) = z^(y) y^(z) = x^(z) z^(x) .

If (log x)/(y-z)=(log y)/(z-x)=(log z)/(x-y), then prove that: x^(x)y^(y)z^(z)=1