2024-04-23 | For n∈N, if cot-13+cot-14+cot-15+cot-1n=π4, then n is equal to.... |
2024-04-23 | If f(x)=x3sin1x,x≠00,x=0, then.... |
2024-04-23 | Let the area of the region enclosed by the curves y=3x,2y=27-3x and y=3x-xx be A. Then 10 .... |
2024-04-23 | Let \(y=y(x)\) be the solution of the differential equation 2xlogexdydx+2y=3xlogex,x>0 a.... |
2024-04-23 | The shortest distance between the lines x-32=y+15-7=z-95 and x+12=y-11=z-9-3 is.... |
2024-04-23 | Let \(y=y(x)\) be the solution of the differential equation (1+x2)dydx+y=etan-1x, y(1)=0. Then&n.... |
2024-04-23 | For α,β∈ℝ and a natural number n, let Ar=r1n22+α2r2n2-β3r-23n(3n.... |
2024-04-23 | A circle is inscribed in an equilateral triangle of side of length 12 . If the area and perimete.... |
2024-04-23 | A company has two plants A and B to manufacture motorcycles. 60% motorcycles are manufactured at.... |
2024-04-23 | Let f:(-∞,∞)-{0}→ℝ be a differentiable function such that f'(1)=lima→.... |
2024-04-23 | The interval in which the function f(x)=xx,x>0, is strictly increasing is.... |
2024-04-23 | ∫0π/4cos2xsin2xcos3x+sin3x2dx is equal to.... |
2024-04-23 | The function f(x)=x2+2x-15x2-4x+9,x∈R is .... |
2024-04-23 | Let A={n∈[100,700]∩N:n is neither a multiple of 3 nor a multi.... |
2024-04-23 | The number of triangles whose vertices are at the vertices of a regular octagon but none of whos.... |
2024-04-23 | Let α,β be the distinct roots of the equation x2-t2-5t+6x+1=0,t&.... |
2024-04-23 | Let a variable line of slope m>0 passing through the point (4,-9) intersect the coordin.... |
2024-04-23 | The mean and standard deviation of 20 observations are found to be 10 and 2 , respectively. On r.... |
2024-04-23 | Let the relations R1 and R2 on the set X={1,2,3,….,20} be given by R1={(x,y):.... |
2024-04-23 | If A(3,1,-1),B53,73,13,C(2,2,1) and D103,23,-13 are the vertices of a quadrilateral A .... |
2024-04-23 | Combustion of 1 mole of benzene is expressed atC6H6(l)+152O2(g)→6CO2(g)+3H2O(l). 
The.... |