In following reaction the value of K is 5×10−4S−1
Initial pressure was 1 atm, while the final pressure was 1.45 atm at time y×103sec calculate y
Suppose that the foci of the ellipse 9x2+5y2=1are (f1,0)and(f2,0)where f1>0andf2<0.Let P1andP2be two parabolas with a common vertex at (0, 0) and with foci at (f1.0)and(2f_2 , 0), respectively. LetT1be a tangent to P1which passes through (2f2,0)and T2be a tangents to P2which passes through (f1,0). If m1is the slope of T1and m2is the slope of T2,then the value of (m121+m22)is
For each positive integer n, let yn=n1((n+1)(n+2)n+n˙)n1For x∈Rlet [x]be the greatest integer less than or equal to x. If (lim)n→∞yn=L, then the value of [L]is ______.
A box B1, contains 1 white ball, 3 red balls and 2 black balls. Another box B2, contains 2 white balls, 3 red balls and 4 black balls. A third box B3, contains 3 white balls, 4 red balls and 5 black balls.
If 2x−y+1=0 is a tangent to the hyperbola a2x2−16y2=1 then which of the following CANNOT be sides of a right angled triangle? (a)a,4,2 (b) a,4,1(c)2a,4,1 (d) 2a,8,1
Let f:R→Rand g:R→Rbe two non-constant differentiable functions. If fprime(x)=(e(f(x)−g(x)))gprime(x)for all x∈R, and f(1)=g(2)=1, then which of the following statement(s) is (are) TRUE?f(2)<1−(log)e2(b) f(2)>1−(log)e2(c) g(1)>1−(log)e2(d) g(1)<1−(log)e2
Which of the following values of αsatisfying the equation ∣∣(1+α)2(1+2α)2(1+3α)2(2+α)2(2+2α)2(2+3α)2(3+α)2(3+2α)2(3+3α)2∣∣=−648α?−4b. 9c. −9d. 4