Recently Active Mathematics Questions

there is a set A={a1.a2.....an}.the total no. of subsets with even no. of elements answer 2n-1 ...

k-1Ck-1 + kCk-1 +........+n+k-2Ck-1=? Answer- n+ k-1Ck ...

total no. of triangles with side length a,b,c if the triangle satisfies the condition that a<=b<=c. is answer 1/4 (c+1)2 if c is odd 1/4 c2 if c is even ...

In = - x n-1( a2 - x2 ) 3/2/n + 2 + kIn-2. then the value of k is ........................... [ ans. ------ n - 1/n + 2 a2 ] ...

q1>Find points of discontinuity \begin{Bmatrix} [cos(\pi x)] & x\leq 1 \\ \left|2x-3 \right|[x-2] & x>1 \\ \end{Bmatrix} q2> FInd points of dicontinuity \begin{Bmatrix} 2x+1 & x\epsilon Q \\ x^2 & x\epsilon \bar{Q} \ ...

If tan x = n tan y , then prove that x = y - m sin 2y + m2/2 sin 4y - m3/3 sin 6y + . . . . . . . . . . . . . where m = 1 - n/1 + n . ...

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\int_{0}^{2\pi}{e^{cos\alpha}cos(sin\alpha)d\alpha . ...

\text{Let f(n) be the integer closest to} \ {\sqrt{n}}\\ \text{find the value of }\\ \sum_{i=1}^{2008}{\frac{1}{f(i)}}\\ \text{NOTE: f(6=2),f(7)=3,f(12)=3,f(13)=2 etc.}\\ (A)88\frac{28}{45} \ \ (B)90\frac{3}{5} \ \ (C)87\frac ...

If the hr and minute hands of a clock are interchanged - in how many cases shall the new setup show some time? ...

draw the graph of sin(ex) ...

Let y = [ √x ] x x x x x. . . . . . ( infinite times ) Find dy/dx in terms of x , y , log y and log x and no other variable. ...

For any real value of A and n ε N cos A.cos 2A. cos4A .cos 8A. .................... cos 2n-1A equals 1 -1 sin(2nA) /2n sin A 2 ...

[x]+[2x]+[4x]+[8x]+[16x]+[32x]=12345 where[]-GIF ...

Tangents at a point P1 (other than(0,0) on the curve y=x3 meets the curve again at P2. The tangents at P2 meets the curve at P3 and so on. Show that the abscissae of P1,P2, P3,.....Pn form a G.P. Also find the ratio of area o ...

let f(X) be a continous funtion such that f(x)>0 and f(x)^101 =1+∫ f(t)dt.[integrate from 0 to x] the value of (f(100))^101 a) 99 b) 100 c) 101 d) 98 ...

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Q1 Let h(x) = l kx+5 l and domain of f(x) and f(h(x)) are [-5,7] and [-6,1] respectively, then value of k is _____ (the answer is X if cant say) Q2. lim(x->0) [ sinx/x ] = _____ [lim(x-->0) sinx/x ] = ______ ...

|z - 4| - |z - 5i| = k will represent hyperbola provided k will be (A) 6 (B) 7.5 (C) 1 (D) -1 (E) -3 MULTIPLE ANS QS ...

pi/2 ∫ [ k2(cos 3x + cos x/2 ) + sin x - 2k cos x] dx ≤ 0.... Number of values of k..........{where [.] is G.I.F} 0 { k belongs to I } [ANS >>>>>>>>>> 12] ...

pi/2 ∫ sin 2nx log cos x dx = 0 A)pi/2 B) pi/2 C) pi/2 ∫ cot cos 2nx dx ∫ tan cos 2nx dx 1/2n ∫ tan sin 2nx dx 0 0 0 ...

Q1. A and B are points with coordinates (2,1,3) and (4,-2,5) respectively. 2x+y-z=3 is the equation of a plane (A) Line AB is parallel to the plane (B) AB meets the plane at (0,4,1) (c) The plane divides AB externally in the ...

ABC IS A TRIANGLE RIGHT ANGLED AT C , A LINE THROUGH THE MID POINT M OF HYPOTENUSE AB AND PARALLEL TO BC INTERSECT AC AT D SHOW THAT- (a)D IS THE MID POINT OF AC (b)MD IS PERPENDICULAR ON AC (c)CM = MA = 1/2AB HEP SOLVING IT! ...

Q. What is the formula for volume of a tetrahedron whose vertices are given by the vectors a, b, c, d Q. How to decide whether a system of planes can form a prism or not? ...

If y=f(x) be concave upward function and y=g(x) be a function such that f'(x).g(x)-g'(x).f(x)= x^4+2x^2+10, then a) g(x) has atleast one root between two consecutive roots of f(x) b) g(x) has at most one root between two cons ...

IF (sin4x)/2+(cos4x)/3=1/5 then (a)tan2x=2/3 (b)sin8x/8+cos8x/27=1/125 (c)tan2x=1/3 (d)sin8x/8+cos8x/27=2/125??? It's mulit ans question... ...

if p is a prime no satisfying n<p<2n show that 2n C is divsible be p............... n ...

l sin pi x/2 + cos pi x/2 l = √((lnl x l )3 +1) is............... [ ans is 6 ] ...

Solution of y( 2x4 + y ) dy/dx = (1 - 4xy2)x2 [ANS IS............... 2 yx5/5 + y3/3 = x3/3 - 4xy3/3 + c ] ...

min [ (x1 - x2)2 + ( 5 + √(1 - x12) - √(4x2)2 ] for all x1 & x2 belongs to R is............... ...