[" Which function has a range of all real "],[" numbers? "],[" A."y=3^(x)+1],[" B."y=3x+1],[" C."],[y=sqrt(x-3)],[" D."y=|x-3|]

A circle C of radius 1 is inscribed in an equilateral triangle PQR . The points of contact of C with the sides PQ, QR, RP and D, E, F respectively. The line PQ is given by the equation sqrt(3) +y-6=0 and the point D is ((sqrt(3))/(2), 3/2) . Equation of the sides QR, RP are : (A) y=2/sqrt(3) x + 1, y = 2/sqrt(3) x -1 (B) y= 1/sqrt(3) x, y=0 (C) y= sqrt(3)/2 x + 1, y = sqrt(3)/2 x-1 (D) y=sqrt(3)x, y=0

Applying logrithmic differentiation find the derivatives of the following functions (a) y=(cos x)^(sin x) (b) y=((3 sqrt(sin 3x))/(1-sin 3x)) (c ) y=sqrt(x-1)/((3sqrt(x+2))^(2)(sqrt(x+3))^(3))

Which of the following functions represent identical graphs in x-y plane AA x in(2,3)(A)y=cos^(-1)sqrt(3-x)(B)y=sin^(-1)sqrt(x-2)

If x,y are real numbers such that 3^((x)/(y)+1) -3^((x)/(y)-1) = 24 , then the value of (x+y)//(x-y) is:-

If x,y are real numbers such that 3^((x)/(y)+1) -3^((x)/(y)-1) = 24 , then the value of (X+y)//(x-y) is:-

If x, y are real numbers such that 3^((x)/(y)+1)-3^((x)/(y)-1)=24 , then the value of (x+y)/(x-y) is

If x,y are real numbers such that 3^((x)/(y)+1) -3^((x)/(y)-1) = 24 , then the value of (x+y)/(x-y) is:-

Find common tangent of the two curve y^(2)=4x and x^(2)+y^(2)-6x=0 (a) y=(x)/(3)+3 (b) y=((x)/(sqrt(3))-sqrt(3)) (c) y=(x)/(3)-3 (d) y=((x)/(sqrt(3))+sqrt(3))