Details About Defence#!#NDA#!#Navy(SSR/AA)#!#Airforce(X & XY)

The details about three atoms X,Y and Z are given. Given information about their atomic number mass number and valency?

Statement -1: f(x) is invertible function and f(f(x)) = x AA x in domain of f(x), then f(x) is symmetrical about the line y = x. Statement -2: f(x) and f^(-1)(x) are symmetrical about the line y = x.

Which of the following functions have the graph symmetrical about the origin? f(x) given be f(x)+f(y)=f((x+y)/(1-xy))f(x) given by f(x)+f(y)=f(x sqrt(1-y^(2))+y sqrt(1-x^(2)))f(x) given by f(x+y)=f(x)+f(y)AA x,y in R none of these

STATEMENT 1:f(x) is symmetrical about x=2. Then int_(2-a)^(2+a)f(x)dx is equal to 2int_(2)^(2+a)f(x)dx. STATEMENT 2: If f(x) is symmetrical about x=b, then f(b-alpha)=f(b+alpha)AA alpha in R

Let g(x)=f(x)-1. If f(x)+f(1-x)=2AA x in R, then g(x) is symmetrical about.(a)The origin (b) the line x=(1)/(2) the point (1,0) (d) the point ((1)/(2),0)

If the pair of lines sqrt(3)x^(2)-4xy+sqrt(3)y^(2)=0 is rotated about the origin by (pi)/(6) in the anticlockwise sense,then find the equation of the pair in the new position.

If the hyperbola x^(2)-y^(2)=4 is rotated by 45^(@) in the anticlockwise direction about its center keeping the axis intact,then the equation of the hyperbola is xy=a^(2), where a^(2) is equal to

The minimum value of the expression 3x + 2y (AA x, y >0) , where xy^(2) = 10 , occurs when the value of y is equal to