Recently Active Mathematics Questions

sir i usually am blank when i see this type of problems(till now i attempted by guessing the possibilites...but now i want some help and to know the method to approach the problems of this type) 1.The number of continuous fun ...

Let us break the rules .. Let the co domain of sin-1x be ( pi/2 , 3pi/2 ) tan-1x be ( pi/2 , 3pi/2 ) cos-1x be (pi, 2pi) cot-1x be (pi,2pi) 1)Then prove that f(x) = 3sin-1x - 2cos-1x is an odd function. 2) Find the minimum va ...

$If $\alpha,\beta$ and $\gamma$ be the Roots of the equation $x^3+x-1=0$.Then Calculate\\\\ value of $\frac{\beta}{\alpha}+\frac{\gamma}{\beta}+\frac{\alpha}{\gamma}=$ ...

plzz just check this quesn How many 6 digit nos. of the type a1a2a3a4a5a6 are possible having the property a1>a2>a3<a4>a5>a6 i initially thot abt this process: 10C6 . 6C3 i.e. i am first selecting 6 nos. from 1 ...

the method i like to study mathematics,first i derive all the formulaes & important results & after clearing all the concepts i jump to excercise but this is possible only if i have a book which has the necessary derivations ...

The sides AB , BC and CA of triangle ABC hav 3 , 4 and 5 interior pts. respectively on them. The no. of triangles that can be constructed using these interior pts. as vertices is?? ...

If " N " be the number of natural numbers <2009 which can be expressed in the form of [x[x]] for some positive Real " x " then the sum of digits of " N " is - { where [.] is GIF } ...

limn→∞ limm→∞ cos2m(n!pix)x belongs to R prove the above function =1 if x is rational function =0if x is irrational ...

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f is a real valued infinitely differentiable function.f(0) = 0 and f"(x) >0 for all real x then f(x)/x is 1) increasing on (0,∞) 2) increasing on (-∞,∞) 3)decreasing on (0,∞) 3)decreasing on (-∞,∞) ...

Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Find the value of m and n. This is a qestion from fiitjee s material. Mobile s ...

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Solve for x (a) |x2 + 3x| + x2 - 2 > 0 (b) |x + 3| > |2x - 1| ...

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Can someone please explain me the Interval method or the wavy curve method? Waiting................... in progress......!! :P ...

Q) If A and B be two sets containing 3 and 6 elements respectively. What can be the minimum number of elements in AUB? Find also, the maximum number of elements in AUB. ...

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Find all solution of f(f(x))=x ...

the number of straight lines that are equally inclined to the three dimensional co-ordinate axis ,is ...

the locus of the point of intersection of the lines x/a +y/b = m & x/a - y/b = 1/m , where m is a parameter , is always : (a)a circle (b) a parabola (c) a ellipse (d) a hyperbola ...

Let e be the eccentricity of hyperbola. Let f(e) be the eccentricity of its conjugate hyperbola, then is equal to (A)3 (B)1 (C)3/2 (D)2 ...

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\mathbf{\int sin(101x)sin^{99}xdx}= ...

1) 10 + 5 - 3 / 3 + 10 - 5 = 2)Find the cube root of 9 3 +11 2 ...

A STUDENT IS ALLOWD 2 SELECT ATMOST 10 BUKS FRM COLLECTOIN OF 2N+1 BUKS .IF NO OF WAYS IN WICH HE SELECT AT LEAST 1 BUK IS 63,FIND N" [3 ...

The first two terms of an infinite G. P. are together equal to 5, and every term is 3 times the sum of all the terms that follow it; find the series. ...

the angle b/w the lines whose direction cosines satisfy the equations l + m + n = 0 , l2 + m2 - n2 = 0 is given by ...

draw the graph of sec-1x and cosec-1x ...

prove that f(x)=\frac{ax^{2}+x-2}{a+x-2x^{2}} has the range R when x belongs to R if a\epsilon [1,3] ...

If \frac{x(y+z-x)}{log(x)}=\frac{y(z+x-y)}{log(y)}=\frac{z(x+y-z)}{log(z)} , prove that: y^z.z^y=z^x.x^z=x^y.y^x ...