
lim [ o∫x ex/ o∫x e2x2 ]dx x→∞ ...

0∫1 log( 1 + x + 1  x )dx ...

0∫4a cosec(x  3a).cosec(x  2a)dx ...

∫01 x /1 + x2 dx ...

\hspace{16}\bf{\lim_{x \rightarrow 0}\frac{1(1+x)^{\frac{1}{x}}}{x}=} ...

The graph of the function cosx.cos(x+2)cos^2(x+1) is 1.A straight line passing through (0,sin^2 1) with slope 2. 2.A straight line passing through (0,0) 3.A parabola with vertex(1,sin^2 1) 4.A straight line passing through ...

\hspace{16}$Let $\bf{A = }$ set of $\bf{ 3 \times 3}$ determinat having entries $\bf{1}$ or $\bf{1,}$\\\\ $\bf{(1)}$ If a determinat $\bf{B}$ is chosen randomly from the set of $\bf{A,}$\\\\ then the probability that the pr ...

\hspace{16}\bf{(1)}$ The Max. and Min. value of $\bf{3 \times 3}$ Determinant whose element are taken\\\\ from the set $\bf{\left\{1,1\right\}}$\\\\\\ $\bf{(2)}$ The Max. and Min. value of $\bf{3 \times 3}$ Determinant whos ...

What is component of vector? Plzz explain in simple manner ...

∫(100 to 100) [t3]dt ...

What is the maximum possible value of a positive integer n,such that for any choice of seven distinct elements from {1,2,....n}, there will exist two numbers x and y satisfying 1<x/y≤2? ...

A real valued function f is defined on the interval (1,2).A point x is said to be a fixed point of f if f(x)=x.Suppose that f is a differentiable function such that f(0)>0 and f(1)=1.Show that if f'(1)>1,then f has a f ...

*Image* Thanx in advance... ...

Consider 6 points located at A=(0,0),B=(0,4),C=(4,0),D=(2,2), E=(3,3) and F=(5,5).Let R be the region consisting of all points in the plane whose distance from A is smaller than that from any other of the given points (othe ...

Compute the maximum area of a rectangle which can be inscribed in a triangle of area M. ...

2 , 1/3 ...

which book should i take elementary algebra by hall and knight or higher algebra by hall and knight i am class 11 student ...

How do I solve this: f(x)=cos(logx) find f(x)f(y)[f(x/y)+f(xy)]/2 ...

The number of real roots of x8x5+x2x+1=0 is? a] 2 b] 4 c] 6 d] 0 ...

A four digit number is called doublet if any of its digit is the same as only one neighbor . For example, 1221 is doublet but 1222 is not . Number such doublets are ...

Please give me a hint to solve this problem....... *Image* ...

There are 24 equally spaced points lying on circumference of a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points and joining the three points of each set? ...

Value of nΣr=1 r nCrxr(1x)nr=? a] n b] x c] nx d] none of these ...

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If 0<ar<1 for r=1,2,3....k and m be the number of real solns of kΣr=1(ar)x=1 and n be the number of solns of kΣr=1(xar)101=0 then a] m=n b] m≤n c] m≥n d] m>n ...

If θi belongs to [0, π/6 ] and z4sinθ1+z3sinθ2+z2sinθ3+zsinθ4+sinθ5=2 then z satisfies a] z> 3/4 b] z< 1/2 c] 1/2 <z< 3/4 ...

If 2 roots of (c1)(x2+x+1)2(c+1)(x4+x2+1)=0 are real and distinct and f(x)= 1x/1+x then f{f(x)}+f{f( 1/x )}= a]c b]c c]2c d]none of these ...

If x24cx+b>0 and a2+b2<ab then the range of x+a/x2+bx+c is a]R b]R+ c]R d]none of these ...

If f(x)=x36x2+(π+1)x+7 and p>q>r then [xf(p)][xf(r)]/xf(q) has no value in a](p,q) b](q,r) c](r,∞) d]none of these ...

probability of solving a particular sum by A,B,C, respectively 1/2 , 1/3 , 1/4 , then what is the probability that the problem can be solved ...