Home
Class 12
MATHS
If x^2+px+q is an integer for every inte...

If `x^2+px+q` is an integer for every integral value of x then which is necessarily true? (A) `p epsilonI, q cancelepsilon I` (B) `pcancel epsilonI, qepsilon I` (C) `pepsilonI, qepsilonI` (D) `pcancel epsilon, qcancel epsilon I`

Promotional Banner

Similar Questions

Explore conceptually related problems

If sin^4 x+cos^4x=sinx.cosx, then x is equal to (A) npi, nepsilon I (B) (6n=1) pi/6, n epsilon I (C) (4n+1) pi/4, n epsilon I (D) none of these

The general solution of the equation 2^(cos2x)=1=3.2^(-sin^2x) is (A) n pi,n epsilon i (B) (n+1/2) pi, n epsilon I (C) (n- 1/2) pi, n epsilon I (D) none of these

If px^(3)+qx^(2)+rx+s is exactly divisible by x^(2)-1 , then which of the following is /are necessarily true ? (A) p = r )B) q = s (C ) p =- r (D) q =- s

Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer function. Then, the domain of f is (a) x epsilon R, x not an integer (b) x epsilon (-oo, -2)uu[-1,oo) (c) x epsilon R, x!=-2 (d) x epsilon (-oo,-1]

If 2+ i sqrt3 is a root of the equation x^(2)+px+q=0 , where p and q are real then find the value of p and q.

If x^(2)-2x-1 is a factor of px^(3)+qx^(2)+1 , (where p , q are integers) then find the value of p +q.

If x^(2)+px+q=0 has roots 2i + 3, 2i–3 then the discriminant of the equation is

If x^(2)+px+q=0 has roots 2i + 3, 2i–3 then the discriminant of the equation is

If 2+sqrt3 i is a root of the equation x^2+px+q=0 then find p and q