Recently Active Mathematics Questions

2 men plan to meet at the town's clock tower on 29 Aug 2009 between 4pm to 6 pm. But they are both very impatient and cant wait more than 20 mins for the other person to come. so they can come anytime between 4 to 6 and will ...

no of planes which are at a given perpendicular distance from a given point and passing through a given point is : a) 0 b) 2 c) 4 d) infinity ...

Radius (R<4) of a O which touches the circle x2+y2=16 externally and angle between the direct common tangents is tan-1(24/7) is __ ...

Today's FULL Test XI AITS question.. [7] 1. Find.. lim (sin4x+sin4(2x)+...+sin4(2nx)) n→∞ 4 4n ...

Let f'(sinx)<0 and f"(sinx)>0, for all x belonging to (0,pi/2) and g(x)=f(sinx)+f(cosx) then.. a) g(x) is increasing in x ε (0,pi/4) b) g(x) is increasing in x ε (pi/4,pi/2) c) g(x) decreases in (0,pi/4) d) g(x) is in ...

In a triangle ABC, coordinates of A are (1, 2) and the equations to medians through B and C are x + y = 5 and x = 4 respectively. Then, 14. The coordinates of the vertex C are (A) (5, 3) (B) (3, 4) (C) (4, 3) (D) (3, 5) 15. L ...

wat is the total number of outcomes in a single throw of 3 dices ...

The equation | z – z1|^2 + | z – z2|^2 = k (where k is a real number) will represent a circle if (A) k≥1/2 | z1 – z2|^2 (B) k≤1/2 | z1 – z2|^2 (C) k≤1/2 | z1+ z2|^2 (D) k≥1/2 | z1+ z2|^2 [isko dekhke esy laga ...

Prove that for any integer n n7+7 is not a perfect square i have proved it for all cases except for n of the form - 7k+1 plz help . ...

F(x)=1+x , x ε [0,1) g(x) =2-x,x ε [1,2] then draw a sketch for g{f(x)}........... ...

Let f be a differentiable function such that f(x+y)=f(x)+f(y)+x2y and lim f(x) = 0 x→0 x Then find f'(10) ...

If A is a square matrix of order 3 then |(A-AT)2009| is equal to... [7] ...

given a quadratic equation f(x)=ax2+bx+c what are the conditions for 1}both roots to be greater than a specified number k 2}given number k lies between both the roots 3}both roots are confined within numbers p and q it would ...

The number of ways in which the six faces of a cube be painted with six different colours is...... a]6 b]6! c]6C2 d] none of these ...

If y is a fn. of x such that y(x-y)2=x , then Find ∫dx/(x-3y) ...

Two adjacent sides of a cyclic quadrilateral are 2 and 5 units,the angle between them is 60 degrees . Area of quad = 4 3 units ,find the area of the circle ...

THIS IS VERY MUCH FROM SYLLABU S[/ *Image* ...

∫ √ (e2t+e-2t) dt the square root is for total thing ...

can we integrate dirichlet function ? sorry for silly doubt :P ...

Q6 4 boys and 3 girls ........... find the no. of ways to seat them on a circular table such that no two girls sit together. a) 0 b) 3!*4! c) 3!*3! d) 3! Correct Answer: (b) ...

∫sin-1 x/(a+x) limit from 0 to a ...

*Image* here are the answers:(Plz provide the solutions) 1)-1,1,3 2)2k+1 3)-1/3 4)-1/9 ...

How many ordered integral pairs (m,n) are there such that 3^m+2^n is the square of an integer? ...

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A point moves inside a triangle formed by A(0,0), B(1,3^0.5), C(2,0) such that min{(PA,PB,PC)}=1,then area bounded by the curve traced by p is: (a)3^1.5-3pie/2 (b)3^0.5+pie/2 (c)3^0.5-pie/2 (d)3^1.5+3pie/2 source: http://www. ...

lim n→∞∫(1-t3/n)^n*t2.dt=2√2/3 limits of integral -a and a ...

n lim Σ 1/(n+k+k2) n→∞ k=1 ...

lets see who can do this. this one`s for all oldies in this site like priyam ,skygirl.eureka,srinath, prophet sir, celestine, anirudh, sankara,unique,mak, NISHANT BHAIYAN, MANISH BHAIYAN, LOKESH BHAIYAN and others. { i miss r ...

Let f(x)=x2 but x2=x times x =x+x+x+x+x+..... x times =>f'(x)=1+1+1+1+1+....x times =x But dx2/dx=2x! How?! ...

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