Let `x^(5)+x= c`.The possible values of `c` such that `f(x)` has a real root in (1 2) is (Multiple correct Type)
(1) -7
(2) 1
(3) 6
(4) 7

If sin^(4)x + cos^(4)x=k then possible value of k is/are : (A) 1/2 (B) 1/4 (C) 1 (D) 7/10

The value of k such that (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the plane 2x-4y+z=7 is (A) 7(B)-7(C) no real value (D) 4

The number of real roots of 3^2x^2-7x+7=9 is (A) 0 (B) 2 (C) 1 (D) 4

The value of x such that the matrix [[1,3,2],[2,5,x],[4,7-x,-6]] has no inverse is

Let f(1)=-2 and f'(x)>=4.2 for 1<=x<=6 The smallest possible value of f(6) is 9(b)12 (c) 15 (d) 19

If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1) , the value of f(omega^(n)) (where 'omega' is the non-real root of the equation z^(3)=1 and 'n' is a multiple of 3), is ……….. .

Let f(x)= 3/(x-2)+4/(x-3)+5/(x-4) . Then f(x)=0 has (A) exactly one real root in (2,3) (B) exactly one real root in (3,4) (C) at least one real root in (2,3) (D) none of these

let f(x)=-x^(3)+(b^(3)-b^(2)+b-1)/(b^(2)+3b+2) if x is 0 to 1 and f(x)=2x-3 if x if 1 to 3. All possible real values of b such that f(x) has the smallest value at x=1 are

If x^2 + frac(1)(x^2) =7 , then the values of x + frac(1)(x) is (A) 2 (B) 3 (C ) 5 (D) 6