Recently Active Mathematics Questions

A function f:R→ R satisfies sin x.cos x(f(2x+2y) - f(2x-2y)) = cos x.sin y(f(2x+2y) + f(2x-2y)) if f ' (0) = 1/2 then: (a) f '' (x) - f ' (x) = 0 (b) 4f '' (x) + f(x) = 0 (c) f '' (x) + f ' (x) = 0 (d) 4f '' (x) - f ' (x) = ...

Let y = f(x) be a differential function for all x ε R . Then which of the following is always true : (a) d2y/dx2 - ( dx/dy )3 =0 (b) d2y/dx2 + ( dx/dy )3 . d2x/dy2 =0 (c) d2y/dx2 - ( dy/dx )3 =0 (d) none of these Can u plz h ...

HELLO ALL. THIS THREAD IS A REVIVAL OF b555 ' S INTEGRATION SIKHO THREAD. THAT HAS BEEN A VERY SUCCESSFUL THREAD , PARTICIPATED BY MANY TIITians. BUT , STILL MANY QUESTIONS OF THAT THREAD ARE REMAINING PENDING. SO, I'M POSTIN ...

if p and q are the 2 roots of the eqns a(x2-x)+x+5=0. If a1 and a2 are the two values of a for which the roots p and q are related by p/q + q/p = 4/5 theb find the value of a1/a2 + a2/a1 my answer: without even calculating ca ...

how many faces of rubik's cube can be simultaneously solved ??? ...

1) ∫ 1/1+x8 dx 2) ∫ 1/1+x350 dx Please help me..............i require the steps to solve this...... ...

Find all the pairs of positive numbers such that the last digit of their sum is 3, their diference is a primer number and their product is a perfect square. (a previous olympiad question,interesting one) ...

in an isoceles right angled triangle ABC....... *Image* given, BM2+CN2=MN2 find angle MAN.... ans- 45° also try for scalene rt angled triangle..... ...

let f(x) = ([a]2-5[a]+4)x3 - (6{a}2-5{a} + 1)x - (tanx)sgnx, be an even function for all x belongs to R, then sum of all possible values of "a" is (where [] and {} denotes greatest integer function and fractional part functio ...

A point moves such that the sum of the squares of its distances from two intersecting straight lines is constant. a)identify which conic it is b)find the eccentricity of the conic in terms of the angle between the straight li ...

1. In a tri ABC the median AD and the altitude AM divides the angle A in three equal parts.Show that \Delta (cos A/3.sin2A/3) = 3a3 /128R . 2. In a \Delta abc the lengths of the bisectors of the angles A, B and c are x,y and ...

re^{-r/2}cos\theta =constant where r is the radial distance of the point from origin and theta is the colatitude (angle btw the radial vector and the one pointing towards the z coordinate of the point)) ...

A class test has maximum marks equal to 50 . It should contain 7 questions each having marks in the range of 2(min. marks for a ques.) to 14(max marks of a ques.). Find the possible number of ways to prepare the test. ...

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∫ dx/x22(x7-6) plzzz solve this frnds... ...

Hey friends...plz help me in this..... f(x) = x6 + ax5 + bx4 + cx3 + dx2 + ex + f f(1) = 1, f(2) = 2, f(3) = 3, f(4) = 4, f(5) = 5, f(6) = 6 then f(7) = ?? ...

A train has to stop at any 3 stations in the shown fixed lot such that no two stations are adjacent. Find the number of ways this is possible. *Image* ...

Q 1 A farmer has four straight pieces of fencing: 1, 2, 3, and 4 yards in length. What is the maximum area he can enclose by connecting the pieces? Assume the land is flat. ans= 2 6 yards ...

show thet the length of the radius vector of the ellipse x2/a2 + y2/b2 =1 drawn in the direction making an angle θ with the positive directtion of x-axis is √( a2b2/b2cos2θ+a2sinθ ) Also show that the sum of the reciproc ...

Q1->the total number of solution of sin 3.14x=|log|x||??(3.14=pie) Q2->what is odd and even extension?? Q3->total number of ways of factorising the number of 676 in 2 factors that are prime to each other?? Q4-> to ...

*Image* please dont tell me to use graph in the first one ...

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hey y u ppl aren't solving my problem.....are u ignoring or u can't solve...pls bother to checkout...they r a set of 10 questions which i hav posted earlier...with title "Question no. 2" and so on..... ...

The number of solution of the equation e2x + ex + e-2x + e-x = 3(e-2x+ ex) is 1. 0 2. 2 3. 1 4. more than 2 ...

The expression wherever defined, sec4x - 4tan3x+ 4tanx is always : 1. positive 2. negative 3. non- positive 4. non negative ...

pls any 1 help me wid the problems ...dat i hav posted....a total of 10 questions...would b very grateful 2 u ...if u solve it..... ...