2.If r+s=t and x=y then the true statement is
(A)r+s-x=y-t
(B)r+s-t=x+y
(C)r+s+x=t+y
(D)r+s+t=x-y

if r+s=t and x=y then the true statement is A)r+s-x=y-t B)r+s-t=s+y C)r+s+x=t+y D)r+s+t=x-y

If A={x,y,z,t} then which of these is not true: (a) x in A (b) {y,z}sub A (c) t sub A (d) w!in A

In a binomial expansion (x_y)^n gretest term means numericaly greatest term and therefore greatest term in (x-y)^n and (x+y)^n are ame. I frth therm t_r be the greatest term in the expansion of (x+y)^n whose therms are all ositive, then t_rget_(r+1) and t_rget_=(r-1)i.e. t_r/t_mge1 and t_r/t_(r-)ge1 On the basis of above information answer the following question:If rth term is the greatest term in the expansion f (2-3x0^10 then r= (A) 5 (B) 6 (C) 7 (D) none of these

Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it. r t x_ s x _ z _ t x y _ _ y z

The point of intersection of the curve whose parametrix equations are x=t^(2)+1, y=2t" and " x=2s, y=2/s, is given by

Let s , t , r be non-zero complex numbers and L be the set of solutions z=x+i y (x , y in RR, i=sqrt(-1)) of the equation s z+t z +r=0 , where z =x-i y . Then, which of the following statement(s) is (are) TRUE? If L has exactly one element, then |s|!=|t| (b) If |s|=|t| , then L has infinitely many elements (c) The number of elements in Lnn{z :|z-1+i|=5} is at most 2 (d) If L has more than one element, then L has infinitely many elements

State true or false: For expansion of (x + y)^(n) , T_(r) = ^(n)C_(r) x^(n-r) y^(r ) .

Let C:r(t)=x(t)hati+y(t)hatj+z(t)hatk be a differentiable curve, i.e., lim_(xto0) (r(t+H)-r(h))/(h) exist for all t, therefore r'(t)=x'(t)hati+y'(t)hatj+z'(t)hatk Iff r'(t) , is tangent to the curve C at the point P[x(t),y(t),z(t)] and r'(t) points in the direction of increasing t. Q. The tangent vector to r(t)=2t^(2)hati+(1-t)hatj+(3t^(2)+2)hatk at (2,0,5) is

Q.34 Q.34 Show that the roots r,s and t of the cubic Show that the roots r,s and t of the cubic x(x-2) (3x-7) 2, are real and positive. Also compute the value of tan-(r) + tan-(s) + tan (t) the value oftan ()+ tan(s)+ tan(0)

The x and y coordinates of the particle at any time are x=5t-2t^(2) and y=10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t=2s is: