Recently Active Mathematics Questions

If the angle between a, b is twice the angle between a, c & b, c, then find the value of [a, b, c]. Here a, b, c represents unit vectors..... ...

if *Image* and 2 *Image* then the sum of digits of least integer n is a)13 b)10 c)8 d)17 ...

This is easy, but looks more in the JEE league: Its known that a2005+b2005 can be expressed as a homogenous polynomial in (a+b) and ab. What is the sum of these coefficients? ...

Find the number of positive integral solutions to the equation *Image* ...

sir please give steps on calculating the period of a function, ...

a parabloa y^2=4x is given.also family of lines 2ax+by+2c=0 is given where a,b,c are in AP Q1 waht is combined eqn of members of family of lines where tangents are to a give parabola Q2 if secants are drawn to above parabola ...

in a center test there are p questions in the test. 2^\left(p-r \right) students give wrong answers to atleast r questions ( 1\leq r\leq p ) if total number of wrong answers given is 2047,find the value of p. ...

prove that [ (8+3√7)20 ] is odd [] is gif ...

Let g be a continuous function and attains only rational values. If g(0) = 5, then the roots of the equation (g(2009))x2 + (g(2008))x + (g(2010)) = 0 are 1. Real and equal 2. Real and unequal 3. Rational 4. Imaginary ...

1.The total no. of all proper factors of 75600 is (ans- 118) 2. If nC4,nC5,nC6 are in AP, then the value of n is (ans- 7 & 14) 3. Let the exponent of 7 in 100C50 is t. Then t will be (a) divisible by 7 (b) div by 100 (c) div ...

Question. previously u had told the way to find generative function. But I am unable to find the generative function of ax-1 + ax+1 = √2ax. I got stuck after this step, f(x)= a1x+(a2-√2a1)x2/(x-1/√2)2+1/2 How to find an ...

If the no. of ways of selecting n cards out of unlimited no. of cards bearing the nos. 0,9,3 so that they cannot be used to write the no. 903 is 93, then n is : A. 3 B. 4 C. 5 D. 6 ...

Sorry ..double post[2] ...

if x+ 1/x =1 p=x1000+ 1/x1000 q be last digit in the num 22n+1 n>1 find p+q ...

evalute this limit \lim_{x\rightarrow \infty }x^{3}\left\{\sqrt{x^{2}+\sqrt{1+x^{4}}}-x\sqrt{2} \right\} ...

*Image* ...

1)...... let A0 denotes the area bounded by f_{n}(x)=\left|\frac{sin(8nx)+cos(8nx)}{x} \right| , x -axis,y-axis and the line x=\pi /8 the prove that A_{n}>\frac{2\sqrt{2}}{\pi }\left[1+\frac{1}{2}.......\frac{1}{n} \right] ...

Q1 r=0Σn nCr cosrx.sin(n-r)x =?? Q2 (1+ nC0/nC1 )(1+ nC2/nC1 ).....(1+ nCn/nCn-1 )=??? ...

If a, b, c are 3 non-coplanar unit vectors then, what is the value of [a b c]? a). 1 b). 1/2. c). 0 d) None of these. ...

The foot of perpendicular from the point (0, 0, 0) to the line of the intersection of the planes x + y + z = 4 & 2x + y + 3z = 1 is a point A.Find the equation of the line OA. ...

Just to be sure, can someone give a solution to these:- x=\sum_{n=0}^{\propto}{cos^{2n}\phi} y=\sum_{n=0}^{\propto}{sin^{2n}\phi} z=\sum_{n=0}^{\propto}{sin^{2n}\phi cos^{2n}\phi} Then find the relation(s) between x, y and z. ...

f:R\rightarrow R satisfies the following relation: f(x+1)f(x)+f(x+1)+1=0 prove that f is not continuous. ...

A team needs 7 runs to win from 3 balls. both batsmen at crease are at 94 runs each. At end of the match , both batsmen score centuries and the team wins.how is it possible?BOTH BATSMAN SHOULD BE NOT OUT. ...

U hav been given 4 zeros , and u hav to make the number 120 out of them , u can carry out any mathematical operation on these 4 zeros , but only valid ones , for eg: 0 + 0 , 0 - 0 , etc but u shud get the no.120 out of only t ...

Sorry, the right question is:- "The sides AB & AC are bisected at right angles by the pair of straight lines y2-5xy-4x2=0. The base BC of the triangle passes through a fixed point (4,5). Here, AB, AC & BC are the sides of a t ...

e- Π/2 <θ< Π/2 the larger of cos(logθ) and log(cosθ) if e- Π/2 <θ< Π/2 is ____ ? ...

ABC is a triangle inscribed in the circle z = r whre z is a complex no. and r is the radius of the circle. the internal bisector of angle A and the altitude from A on BC meet the circle at D and E respectively. F is the foot ...

In how many ways can the letters of the word "C O M M I S S I O N " be arranged without changing the order of vowels ? ...

\sum_{n=0}^{\ \propto }{1/(3n+1)-1/(3n+2)} ...

5 balls of different colours are to be placed in 3 boxes of diff. sizes. Each box can hold all 5. In how many different ways can we place the balls so that no box is empty ? ...