`f62+(p-1)+4^n=` (A) p (B) `-p` (C) 2p (D) `-2p`

If in a positive integer such that If a number a=p+f whre p is an integer and 0ltflt1 . Here p is called the integral part of a and f its fractional part. Let n in N and (sqrt(3)+1)^(2n)=p+f , where p is the integral part and 0ltflt1 . On the basis of bove informationi answer teh following question: f^2+(p-1)f+4^n= (A) p (B) -p (C) 2p (D) -2p

If . ^(28)C_2p=^24C_(2p-4) then (A) p=4 (B) p=7 (C) p=14 (D) none of these

If : 1+4p^(2) = 4p * sec theta, "then" : sec theta + tan theta= A) pm 2p B) pm (1)/(2p) C) (2p) D) 2p+ (1)/(2p)

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]| , where p is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a) p (b) p-p^3 (c) p+p^3 (d) independent of p

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]| , where p is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a) p (b) p-p^3 (c) p+p^3 (d) independent of p

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]| , where p is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a) p (b) p-p^3 (c) p+p^3 (d) independent of p

If sec theta + tan theta =p, then tan theta is equal to ............... A) (2p)/(p^(2) -1) B) (p^(2) -1)/(2p) C) (p^(2) +1)/(2p) D) (2p)/(p^(2)+1)

If (2p+1/p)=4 , the value of (p^3+1/(8p^3)) is (a) 4 (b) 5 (c) 8 (d) 15

If A and P are different matrices of order n satisfying A^(3)=P^(3) and A^(2)P=P^(2)A (where |A-P| ne 0 ) then |A^(2)+P^(2)| is equal to (A) n (B) 0 (C) |A||P| (D) |A+P|

If A and B be independent events with P(A) = 1/4 and (P(A cupB) = 2P(B) - P(A) , then P(B) is equal to