If `x-1/2=1/2` Then value of x is =`(a)4 (b)1/4 (c)-2 (d)1`

If x lies in the interval [0,\ 1] , then the least value of x^2+x+1 is (a) 3 (b) 3//4 (c) 1 (d) none of these

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

If the rank of the matrix [[-1,2,5],[2,-4,a-4],[1,-2,a+1]] is 1 then the value of a is (A) -1 (B) 2 (C) -6 (D) 4

The value of int_0^1e^(x^2-x)dx is (a) 1 (c) > e^(-1/4) (d)

Let P(x)=((1-cos2x+sin2x)/(1+cos2x+sin2x))^2+((1+cotx+cot^2x)/(1+tanx+tan^2x)), then the minimum value of P(x) equal 1 (b) 2 (c) 4 (d) 16

If the tangents drawn through the point (1, 2 sqrt(3) to the ellipse x^2/9 + y^2/b^2 = 1 are at right angles, then the value of b is (A) 1 (B) -1 (C) 2 (D) 4

If (x-2)/3=(2x-1)/3-1, then x= (a) 2 (b) 4 (c) 6 (d) 8

The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a) 1/4 (b) -1/3 (c) 1/6 (d) 1/5

The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a) 1/4 (b) -1/3 (c) 1/6 (d) 1/5

The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a) 1/4 (b) -1/3 (c) 1/6 (d) 1/5