Consider the statements : P : There exists some x IR such that f(x) + 2x = 2(1+x2) Q : There exists some x IR such that 2f(x) +1 = 2x(1+x) Then (A) both P and Q are true (B) P is true and Q is false (C) P is false and Q is true (D) both P and Q are false.
p ^^ q is true when : ( a) p and q are both true (b) p and q are both false ( c ) p is true and q is false ( d) p is false and q is true.
If p and q are two statements then (p
If p and q are two statement then (p
Let f(x)=(1-x)^(2)sin^(2)x+x^(2) for all x in IR, and let g(x)=int_(1)^(x)((2(t-1))/(t-1)-ln t)f(t) dt for all x,in(1,oo). Consider the statements: P: There exists some x in IR such that f(x)+2x=2(1+x^(2)) Q: There exists some x in IR such that 2f(x)+1=2x(1+x) Then
If P (x) = (x ^(3) - 8) (x +1) and Q (x) = (x ^(3) +1) (x - 2), then find the LCM of P (x) and Q (x).
Find p and q so that (x + 2)" and "(x – 1) may be factors of the polynomial f(x) = x^(3) + 10x^(2) + px + q .
If P (x) = (x^(3) + 1) (x-1) and Q (x) = (x^(2) -x +1) (x^(2) -3x +2) , then find HCF of P (x) and Q (x) .
MOTION-MONOTONOCITY-Exercise - 4 ( Level-II ) Previous Year (Paragraph)
