Let `x<1,` then value of `[[x^2+2, 2x+1 ,1],[ 2x+1,x+2, 1],[ 3, 3 ,1]]` is a. none-negative b. none-positive c. negative d. positive

Let x_(1), and x_(2), are the roots of ax^(2)+bx+c=0 and x_(1)x_(2)<0,x_(1)+x_(2) is nonzero.Roots are (A) negative (C) positive (B) real and of opposite signs (D) non real

The minimum value of 2^((x^(2)-3)^(3)+27) is 2^(27) (b) 2 (c) 1 (d) none of these

if -(1)/(2)

The function f and g are positive and continuous.If f is increasing and g is decreasing,then int_(0)^(1)f(x)[g(x)-g(1-x)]dx (a)is always non-positive (b)is always non- negative ( c) can take positive and negative values (d)none of these

Let mean value of f(x) = 1/(x+c) over interval (0,2) is 1/2 ln 3 then positive value of c is

If he expression [mx-1+(1/x)] is non- negative for all positive real x, then the minimum value of m must be -1/2 b.0 c.1/4d.1/2

x_(1) and x_(2) are the roots of ax^(2)+bx+c=0 and x_(1)x_(2)<0. Roots of x_(1)(x-x_(2))^(2)+x_(2)(x-x_(1))^(2)=0 are a.real and of opposite sign b.negative c.positive d. none real

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

The value of (1-x^4)/(1+x)+(1+x^2)/xxx1/(x(1-x)) is (a) 1 (b) 1-x^2 (c) 1/x (d) 1+x (e) None of these

The number of values of x in[0,2] at which f(x)=|x-(1)/(2)|+|x-1|+tan x is not differentiable at (A)0(B)1(C)3(D) none