Recently Active Mathematics Questions

IS TEHRE ANY METHOD TO SOLVE THE integrals OF THE FORM \int_{a}^{b}{\frac{px + q}{asinx + b cosx}} ...

\sum_{o}^{n}(-1)^{r} {/^{n}C_{r}} = take cases a)n is odd b)n is even ...

If \frac{1}{\sqrt{4x+1}}\left( (\frac{1 + \sqrt{4x+1}}{2}) - (\frac{1 - \sqrt{4x+1}}{2})\right)^{n} = ax + b x^2 + cx^3 + dx^4 + ex^5, then find n. ...

Paragraph Question (1+px+x2)n = 1+a1x + a2x2 +.....+a2nx2n The remainder when a1 + 5a2+ 9a3 + 13a4 + ......+(8n - 3)a2n is divided by p + 2 is 1. 1 2. 2 3. 3 4. 0 ...

if the sum f an A.P is same for p and q terms, show that the sum of p+q terms is 0........ *Image* S(p+q) >0 from graph ...how can it be 0 ????? and if S(p+q)=0 wat is the other root ...

1)a series f +ve nos is such that a1=4 and an+1=an+ 4/an n>0.then [a100]= (where [] represents greatest integer function) a.28 b.29 c.30 d.31 2)wht can be said abt the planes 2x-4y+2z=5 5x-y-z=8 x+y-z=7.........(multiple a ...

let a,b,c be three vectors such that they hav same mag. if |a-b|2+|b-c|2+|c-a|2=27 then a. a,b,c are coplanar b. a,b,c represent orthogonal triad of vectors c. a,b,c represents sides of a triangle (atleast in magnitude and di ...

If f(x) is continous in R and is symmetrical abt the lines x=1 and x=2 then which of the following holds. a)f(1+x)=f(x) b)f(x+3)=f(x) c)f(x+2)=f(x) d)none of these. pls explain.i know this will be a two liner but i am not get ...

Again some maths questions: Q1. (Multi-Answer) Domain of the function f(x) = log_{[x-1]}(sin^2\pi x) \; is \;x\epsilon (3,\infty )-\begin{Bmatrix} p, & p+1, & p+2, & ..., & n \end{Bmatrix} , where [.] denotes greatest integer ...

Find the locus of intersection of 2 circles(equal) which are described on 2 sides EF and EG of a triangles as chords in a rectangular hyperbola whose centre is middle point of FG and which passes through E,F,G ...

wht is the Geometrical interpretation of the integration by parts formula???? plz give explaination ...

let f(x) be a quadratic polynomial with +ve integral coefficients and such that for every real a,b when b>a a∫b f(x)>0 also g(x)=f''(x)f(x) and g(0)=12 then a.total no. of quadratic polynomial is_____ b.f(x)=0 has rea ...

The number of points of intersections when 6 circles and 5 lines intersect may be 1. 90 2. 110 3. 80 4. 120 ...

In an experiment of tossing of a coin 10 times 1)find the probability wen no two heads are consecutive........?? 2)if exactly four heads occur then probability wen all heads dont occur together is equal to..?? 3)for occurence ...

Consider an equation f'(x) ≡ ax2+bx+c = 0 If f(0) = f(-1) what will be the value of the limits in which roots of f'(x) lie ? Another question with this : limits of roots of f(x) = ? ...

If z = \cos \frac{2 \pi}{n} + i \sin \frac{2 \pi}{n} , n \in \mathBB{N}; n \ge 3 define A = \{1,z,z^2,z^3,...,z^{n-1} \} B = \{ 1, 1+z, 1+z+z^2,...,1+z+z^2+...+z^{n-1} \} Determine A \bigcap{B} ...

PLease find the sum of the given series without using calculas--- co + c1/2 + c2/3 + c4/4 ..... +cn/n+1 It is not a doubt --- just found interesting ...

1+x+x^2+....x^{n-1} is a prime.... Prove 'n' is a prime. ...

On a sheet of paper the following statements are written- Exactly 1 statement in this sheet is false Exactly 2 statements in this sheet are false . . . . Exactly 100 statements in this sheet are false q)how many statements in ...

No . of zeros in n! = ? Any direct way to find out??? ...

Find the no. of integral solutions of l x-30 l + l 50 - x l = 20 ...

An insect is at the bottom of a tree that is 12m tall. Its takes 3 min 20 secs to crawl around the base of the trunk once. After this the insect starts to crawl up the trunk of the tree in a regular spiral. It makes 4 rounds ...

1) Area bounded by the curves y 2 (2a-x) = x3 and the line x=2a is (a) 3∩a2 (b) 3∩a2 / 2 (c)3∩a2/4 (d) none of these 2)Area included between the parabola Y = x2 / 4a and the which of the Agnesi Y = 8a3/x2 + 4a2 is (a) a ...

*Image* which of the following intervals best describes the range of K? 1. (1/2, ∞) 2. (1, ∞) 3. (1/4, ∞) 4. [1, ∞) 5. (3/4, ∞) ...

Find the total number of three number A.P's in sequence 1,2,3,4...n? ...

if....\theta =\frac{2\pi }{2009}.... then.....cos\theta cos 2\theta cos 3\theta ..............cos 1004\theta ........is equal to ..... ...

If the percentage error in measuring the surface area of a sphere is x%,then find the error in its volume. ...

Find the number of ways of selecting n objects out of 3n objects,of which n are alike and rest are different ...

Find the number of ways in which we can choose 2 distinct integers from 1 to 200 so that the difference between them is atmost 20. ...

Prove that- 2C0/1 + 22C1/2 + 23C2/3 +...+ 2n+1Cn/n+1 = 3n+1-1/n+1 ...