2024-04-23 | The number of ways of getting a sum 16 on throwing a dice four times is ______ ..... |
2024-04-23 | Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefr.... |
2024-04-23 | The number of distinct real roots of the equation |x||x+2|-5|x+1|-1=0 is ________ .
.... |
2024-04-23 | The angle between vector Q→ and the resultant of (2Q→+2P→) and (2Q&rarr.... |
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 .... |