| 2024-04-23 | From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random..... |
| 2024-04-23 | The area of the region enclosed by the parabolas y=x2-5x and y=7x-x2 is _____ .
.... |
| 2024-04-23 | Let a1,a2,a3,… be in an arithmetic progression of positive terms.Let Ak=a12-a22+a32-a42+&#.... |
| 2024-04-23 | Suppose AB is a focal chord of the parabola y2=12x of length l and slope m<3. If the dis.... |
| 2024-04-23 | Let a→=i^-3j^+7k^,b→=2i^-j^+k^ and c→ be a vector such that (a→+2b→)&ti.... |
| 2024-04-23 | If S={a∈R:|2a-1|=3[a]+2{a}∣, where [t] denotes the greatest integer less than or equal to t.... |
| 2024-04-23 | The integral ∫0π/4136sinx3sinx+5cosxdx is equal to :
.... |
| 2024-04-23 | Let f be a differentiable function in the interval (0,∞) such that f(1)=1 and&nb.... |
| 2024-04-23 | Let A={1,3,7,9,11} and B={2,4,5,7,8,10,12}. Then the total number of one-one maps f:A→.... |
| 2024-04-23 | If the system of equations11x+y+λz=-52x+3y+5z=38x-19y-39z=μhas infinitely many solutio.... |
| 2024-04-23 | If y=y(x) is the solution of the differential equation dydx+2y=sin(2x),y(0)=34, then y.... |
| 2024-04-23 | If the function f(x)=sin3x+αsinx-βcos3xx3,x∈R, is continuous at x=0, then f.... |
| 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.... |
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