The value of `p(t) = 2+t+2t^2-t^3` when t=0 is
(A) 2
(B) 1
(C) 4
(D) 0​

Locus of the middle points of the line segment joining P(0, sqrt(1-t^2) + t) and Q(2t, sqrt(1-t^2) - t) cuts an intercept of length a on the line x+y=1 , then a = (A) 1/sqrt(2) (B) sqrt(2) (C) 2 (D) none of these

If in a g.P. { t_(n)) it is given that t_(p+q) =a and t_(p-q) = b then : t_(p) = (A) (ab)^(1/2) (B) (ab)^(1/3) (C) (ab)^(1/4) (D) none of these

If P(t ) = t^2 - 1 , find the value of P(1) , P(-1), P(0), P(-2)

If g=t^((2)/(3))+4t^(-(1)/(2)), what is the value of g when t=64?(31)/(2) (b) (33)/(2) (c) 16 (d) (257)/(16)

If int_(0)^(t)(bx cos4x-a sin4x)/(x^(2))=(a sin4t)/(t)-1 where 0

(A) p 2 (B) q 2 (D) q = 2p (C) p = 2q If t is the parameter for one end of a focal chord of the parabola y2 =4ax, then its length is (A) a t- 11. 2 aft. 2 (B) a t 1) C)alt+- (D) al t-

If tan1^(0)=t, the value of cos2^(0)+t sin2^(0) is t 2.13.(1)/(2)4.05.-1