If the set of equations `z^x=y^(2x)`, `2^z=2*4^x`, `x+y+z=16`, the integral roots in the order `x`,`y`,`z` are:
a.   `3`,`4`,`9`
b.   `9`,`-5`,`12`
c.   `12`,`-5`,`9`
d.   `4`,`3`,`9`

The number of integral pairs (x,y) satisfying the equation (x-y)^2+2y^2=27 is: a.    8 b.    7 c.    6 d.    5

For the equations x+2y+3z=1, 2x+y+3z=2, 5x+5y+9z=4

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

Let the roots of the equation (3x^3-x^2+x-1)/(3x^3-x^2-x+1)=(4x^3+7x^2+x+1)/(4x^3+7x^2-x-1) be x_1 , x_2 and x_3 , then the value of x_1+x_2+x_3 is a.    0 b.    1 c.    -1 d.   None of these

If y - 9 = ( - 4 ) , then y is equal to : ( a )   3   ( b )   4   ( c )   5   (d )   7  

If abx^2=(a-b)^2(x+1) , then the value of 1+4/x+4/x^2 is: a.     (a+b)/(a-b) b.     (a+b)^2/(a-b)^2 c.     (a+b)/(a-b)^2 d.     1

The equations x+2y+3z=1 2x+y+3z=1 5x+5y+9z=4

Let y=1/(2+1/(3+1/(2+1/(3+.....)))) the value of y is: a.    +-(sqrt(15)-3)/2 b.    (sqrt(15)-3)/2 c.    (sqrt(15)+3)/2 d.    None of these

If x ÷ 1 = 8 , then x is equal to ( a )   8   ( b )   1   ( c )   -8   ( d )   -1  

Find the value of | [ y , y-1 ],[ y +1 ,y ]| (a)   2   (b)   3   ( c )   0   (d)   1