Recently Active Mathematics Questions

If p(x) is an 11th degree polynomial such that p(x) = 1/1+x for x = 1, 2, 3,...11, then find p(12). ...

Two cogged wheels of which one has 32 cogs and other has 54 cogs , work into each other. If the latter turns 80 times in three quarters of a minute , how much the latter turns??? ...

41. The value of ∫ {x .tanx . secx }/(tanx-x)2 In the answer key answer is given as A...whereas i think it should be B???????????? ...

Let x be the LCM of 32002– 1 and 32002 + 1. Find the last digit of x. ...

Find n so that ( an+1 + bn+1 ) / (an +bn ) may be the harmonic Mean between a & b . ...

The sum of the following series will be- 2 - 1/2*4 - 1/4*6 - 1/6*8 - ............- 1/48*50 is: (a)2.24 (b)2 (c)1.76 (d)0 ...

Two cogged wheels of which one has 32 cogs and other 54 cogs work into each other.If the latter turns 80 times in three quarters of a min,how often does the other turn in 8 secs??? ...

if there are n arithmetic means between a and b,then common difference d is-(b-a)/(n+1).......how??? ...

PN, PM, and AB are tangents to the circle as shown. If PM = 11 in., then find the perimeter of ΔPAB *Image* ...

Two different no.s when divided by the same the remainders are 4 and 3.When their sum is divided by the same divisor the remainder is 1. What is the divisor? ...

If 2^x=3^y=6^-z,then what is the value of 1/x+1/y+1/z? How should I do this ? ...

In a class of 70 students, the ratio to boys and girls is 4:3. Among girls the no of rich to poor girls is 1:4. If the ratio of rich and poor students is 8:27.Find the ratio of rich and poor boys in the class. ...

If x=2+2^2/3+2^1/3,show that x^3-6x^2+6x-2=0. I cannot match the answer. My answer = 6. Is there anything wrong with the Q or have I done something wrong in doing the sum? ...

A merchant has 3 different kinds of milk: 453 l, 493 l and 551 l. Find the least no of casks of equal size to store all the milk without mixing? How will I do this sum? ...

Here is an interesting one x+x+x+x.......x times..=x2 diff. both sides w.r.t x 1+1+1..x times=2x x=2x 1=2 ...

differential coefficient of sin-1(3x-4x3) w.r.t. sin-1x is : a) 3 if -1 ≤ x ≤ 1 b) -3 if -1 ≤ x < -0.5 c) 3 if -0.5 < x < 0.5 d) -3 if -0.5 < x ≤ 1 ...

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

prove.. 1.cos2θcosθ/2-cos3θcos9θ/2=sin5θsin5θ/2 2.sinAsin(A+2B)-sinBSin(B+2A)=sin(A-B)sin(A+B) ...

Find the HCF of 2/3,4/6,8/27 Your Answer Not Attempted Correct Answer a a.2/27 how it is possible?the answer should be 1/27,and what about my marks? ...

The fractional representation of the no 11.457 11343/990 11457/1000 1138/999 11343/999 Your Answer a Correct Answer d HOW? 25)Which of the following nos. is between 0.1123476 and 0.1123571? 0.112523 0.1123473 0.1123473 Both a ...

find a positive integral solution to the equation- 1+3+5+.....................+(2n-1)/2+4+6+..........2n = 115/116 ...

Given sin(θ+α)/cos(θ-α)=1-m/1+m Prove that tan(π/4-θ)tan(π/4-α)=m ...

1. ∫ (cos 5x +cos 4x) / (1- 2 cos 3x ) dx 2. ∫ ( cos3 x ) . x. elog(sin x) .dx 3. ∫ ( x + ( x 2 ) + 2. x1/6 ) / [ x. { 1+ x } ] ...

A certain amount of money is to be divided between A and B in the ratio 3:1.But because of a miscalculation A received 1/14 of the total money additionally. Find the ratio in which they divided the money. 5:2 14:9 23:5 None Y ...

If n is a positive integer such that n/810 Â = 0d25d25 where d is a single digit in decimal base. Find 'n'... ...

Prove that a4 + b4+ c4 >= abc( a + b + c) ...

The equation of a curve is y = f(x). The tangents at (1, f(1)), (2, f(2)) and (3, f(3)) make angles π/6 , π/3 and π/4 respectively with the positive direction of the x-axis. Then the value of 23∫f'(x).f"(x).dx +13∫f"(x ...

\hspace{-16} $ Minimum value of $\bf{\left|z-1-i \right| + \left |z+2-3i \right| + \left |z+3+2i \right|}$\\\\\\ where $\bf{z = x+iy}$ and $\bf{i = \sqrt{-1}}$ ...

In a certain base system, a number is written as 3326. Which of the following cannot be the value of the given number in decimal system? (a) 774 (b) 1203 (c) 1758 (d) 2463 Thanx in advance,,, ...

Can anyone plz explain the use of complex numbers ( de-moivre's theorem) in finding out the integral of type ∫sinmxcosnxdx , where both m,n are positive integers. ...