| 2024-04-23 | If A(1,-1,2),B(5,7,-6),C(3,4,-10) and D(-1,-4,-2) are the vertices of a quadrilateral.... |
| 2024-04-23 | Consider the following two statements:Statement I: For any two non-zero complex numbers z1,z2,z1.... |
| 2024-04-23 | Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the verti.... |
| 2024-04-23 | Let f(x)=x5+2x3+3x+1,x∈R, and g(x) be a function such that g(f(x))=x for all x∈R..... |
| 2024-04-23 | If 11+2+12+3+…+199+100=m and 11·2+12·3+…+199·100=n, then the .... |
| 2024-04-23 | Let two straight lines drawn from the origin O intersect the line 3x+4y=12 at the points P .... |
| 2024-04-23 | Suppose \( \theta \in\left[0, \frac{\pi}{4}\right]\) is a solution of \(4 \cos \theta-3 \sin \th.... |
| 2024-04-23 | Let the line 2x+3y-k=0,k>0, intersect the x-axis and y-axis at the points A and B, respective.... |
| 2024-04-23 | Let a circle C of radius 1 and closer to the origin be such that the lines passing through the p.... |
| 2024-04-23 | Let d be the distance of the point of intersection of the lines x+63-y2-z+11 and x-74=y-93=.... |
| 2024-04-23 | Let A and B be two square matrices of order 3 such that |A|=3 and |B|=2. Then ATA(adj(2A))-.... |
| 2024-04-23 | The coefficients a, b, c in the quadratic equation ax2+bx+c=0 are chosen from the set {1,2,3,4,5.... |
| 2024-04-23 | Let S=sin22θ:sin4θ+cos4θx2+(sin2θ)x+sin6θ+cos6θ=0 has real r.... |
| 2024-04-23 | For the function\( f(x)=\sin x+3 x-\frac{2}{\pi}\left(x^2+x\right)\), where \(x \in\left[0, \fra.... |
| 2024-04-23 | If the line 2-x3=3y-24λ+1=4-z makes a right angle with the line x+33μ=1-2y6=5-z7,.... |
| 2024-04-23 | The value of ∫-ππ2y(1+siny)1+cos2ydy is:
.... |
| 2024-04-23 | There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selec.... |
| 2024-04-23 | Consider a line L passing through the points P(1,2,1) and Q (2,1,-1). If the mirror im.... |
| 2024-04-23 | Let A be a 2×2 symmetric matrix such that A11=37 and the determinant of A be 1. .... |
| 2024-04-23 | In a tournament, a team plays 10 matches with probabilities of winning and losing each match as&.... |
| 2024-04-23 | Let f:R→R be a thrice differentiable function such that f(0)=0,f(1)=1,f(2)=-1,f(3)=2 and f(.... |
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