2024-04-23 | Letf(x)=-2,-2≤x≤0x-2,0<x≤2 and h(x)=f(|x|)+|f(x)|. Then ∫-22h(x)dx is equal.... |
2024-04-23 | Let A be a 3×3 matrix of non-negative real elements such thatA111=3111.Then the maxim.... |
2024-04-23 | Let A be a square matrix of order 2 such that |A|=2 and the sum of its diagonal elements is.... |
2024-04-23 | Let α,β∈R. Let the mean and the variance of 6 observations -3,4,7,-6,&alpha.... |
2024-04-23 | If the solution y=y(x) of the differential equation x4+2x3+3x2+2x+2dy-2x2+2x+3dx=0 satisfie.... |
2024-04-23 | The sum of all rational terms in the expansion of 215+51315 is equal to :
.... |
2024-04-23 | Let the sum of the maximum and the minimum values of the function f(x)=2x2-3x+82x2+3x+8 be .... |
2024-04-23 | Let α and β be the sum and the product of all the non-zero solutions of the equa.... |
2024-04-23 | There are 5 points P1,P2,P3,P4,P5 on the side AB, excluding A and B, of a triangle ABC. Sim.... |
2024-04-23 | If 2 and 6 are the roots of the equation ax2+bx+1=0, then the quadratic equation, whose roots ar.... |
2024-04-23 | Let f(x)=x5+2ex/4 for all x∈R. Consider a function g(x) such that (g∘f)(x)=x for all x&isin.... |
2024-04-23 | If the system of equations x+(2sinα)y+(2cosα)z=0 x+(cosα)y+(sin&alph.... |
2024-04-23 | Let α∈(0,∞) andA=12α101012. If detadj2A-AT·adjA-2AT=28, then (det(.... |
2024-04-23 | The vertices of a triangle are A (-1,3), B (-2,2) and C (3,-1). A new triang.... |
2024-04-23 | Let the first three terms 2, p and q, with q≠2, of a G.P. be respectively the 7th ,8th&n.... |
2024-04-23 | A square is inscribed in the circle x2+y2-10x-6y+30=0. One side of this square is parallel to y=.... |
2024-04-23 | Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectiv.... |
2024-04-23 | Let the point, on the line passing through the points P(1,-2,3) and Q(5,-4,7), farther from.... |
2024-04-23 | Number of complexes from the following with even number of unpaired "d" electrons is
VH2O63+,CrH.... |
2024-04-23 | The number of different chain isomers for C7H16 is _______ ..... |
2024-04-23 | Let f:R→R be a function given byfx=1-cos2xx2, x<0α    &#.... |