If the operation `^^` is defined by the equation `x^^y=2x+y` , what is the value of `a` in `2^^a=a^^3?` (a) 0 (b) `-1` (c) `1` (d) 4

If a, b and c satisfy the equation x^(3)-3x^(2) + 2x+1 =0 then what is the value of (1)/(a)+(1)/(b)+(1)/(c ) ?

If x+y=2a then the value of (a)/(x-a)+(a)/(y-a) is (a) 2 (b) 0(c)-1 (d) 1

Let A B C be a triangle. Let A be the point (1,2),y=x be the perpendicular bisector of A B , and x-2y+1=0 be the angle bisector of /_C . If the equation of B C is given by a x+b y-5=0 , then the value of a+b is (a)1 (b) 2 (c) 3 (d) 4

If y is a function of x and ln(x+y)-2x y=0, then the value of y^(prime)(0) is equal to 1 (b) -1 (c) 2 (d) 0

Let x , y be two variables and x >0, x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

If y is a function of x and log(x+y)-2xy=0 then the value of y(0) is equal to (a)1(b)-1( c) 2( d) 0

If x-y=1 and x^(2)+y^(2)=41, then the value of x+y will be (a)5 or 4(b)-5 or -4 (c) +-9(d)+-1

If a, b, c, d are the roots of the equation x^(4) - 100x^(3)+2x^(2)+4x+10=0 , then the value of (1)/(a)+(1)/(b)+(1)/(c)+(1)/(d) is

The values of x, y, z for the equations x-y+z=1, 2x-y=1, 3x+3y-4z=2 are