If ( x- 3 )/5 - 2 = -1 , then x is equal to ( a ) 8 ( b) 3 ( c ) -7 ( d ) 2

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b= (a) 3 (b) 3.5 (c) 6 (d) -3

Number of roots of equation 3^(|x|)-|2-|x||=1 is a.0 b.2 c.4d.7

If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a is equal to (a) 1 (b) -6 (c) 6 (d) 0

If x=root(3)(7+5sqrt(2))-(1)/(root(3)(7+5sqrt(2))), then the value of x^(3)+3x-14 is equal to 1 b.0 c.2 d.4

The number of real solutions of |x|+2sqrt(5-4x-x^(2))=16 is/are a.6 b.1 c.0 d.4

For certain curves y= f(x) satisfying [d^2y]/[dx^2]= 6x-4, f(x) has local minimum value 5 when x=1. 9. Number of critical point for y=f(x) for x € [0,2] (a) 0 (b)1. c).2 d) 3 10. Global minimum value y = f(x) for x € [0,2] is (a)5 (b)7 (c)8 d) 9 11 Global maximum value of y = f(x) for x € [0,2] is (a) 5 (b) 7 (c) 8 (d) 9

If (x+(1)/(x))=2, then (x-(1)/(x)) is equal to (a) 0 (b) 1 (c) 2 (d) 5

The number of solutions of the system of equations x+y+z = 4, 2x + 5y – 2z = 3 and x + 7y – 7z = 5, is /are a)0 b)1 c)2 d)infinite