Recently Active Mathematics Questions

There are 'n' points situated on a plane such that no two of the lines joining them are parallel and no three are concurrent except at given points.Find the no. of points of intersection (other than the given points) ...

how do we solve the summation of series problems liek sina + sin 2a + sin 3a ... + sin na ...

Find the area given by |x+y|<5 |x+y|>3 ...

x/(1-2^x)-x/2 is what even odd or both or none? ...

Find the number of triangles that can be formed with the vertices of a polygon of 10 sides as vertices ,if 1)The triangles can not have more than one side common with the polygon 2)The triangle can not have any side common wi ...

1. SOLVE | 2x + 1 | - | 2 x - 2 | = 5 ans:[2,∞) 2.Prove that x5+ax4+bx3+cx2+dx+e=0 cannot all have real roots if , 2a2<5b ...

1.PROVE THAT nn+1>(n+1)n. 2.Which is larger:: 10001000 or 1001999?? ...

If (1+x)n=C0+C1x+C2x2+.....+Cnxn then prove that C0/1 - C1/22 + C2/32 - C3/42+.....+(-1)nCn/(n+1)2 =1/(n+1) [1+(1/2)+(1/3)+.....(1/(n+1))] ...

asymtotes of d hyperbola 2x^2+5xy+2y^2-11x-7y-4=0 i noe 4 regular ones bt hwz this 2 b done....... plez tell me few basic points wich i need for rectangular hyprbola ... x^2-y^2=a^2 ...........and xy=c^2........ar ...

*Image* In how many different ways the letters of the word VECTOR can be placed in the 8 boxes of the given figure so that no row remains empty? ...

ltx→0 cos(sinx)-cosx/(1-e^x2)2 ...

in a triangle ABC, coordinates of orthocentre, centroid and vertex A are (3,2) , (3,1) and (1,2) respectively. Then x-coordinate of vertex B is... ??? i have got the ans but its not matching... so i wanna verify.. ...

if x+3 for x<=-3 f(x) = 2x-3 for x>3 find f(|x|) + |f(x)| ...

from the point p[1,√3] on the circle x2+y2=4 a tangent is drawn to the hyperbola x2/4-y2/1=1which meets its transverse axis at q.from q a line is drawn parallel to congugate axis ,which cuts the hyperbola at r above ...

if the line normal at [ct,c/t]on the curve xy=c2meets the curve again in tithen prove that ti =-1/t3 ...

an ellipse haas ob as semi minor axis ,f and k as focii and the angle fbk is a right angle.then the eccentricity of the ellipse is ...

three normals are drawn from a point [c,o] to a parabola y2=x then c> ? ...

no of solutions of the equation: sin2x + sin22x - sin23x - sin24x=0 lying in the inteval (0, pi/2]. a)4 b)2 c)3 d)5 (one answer correct.. three marks question...)... so hope there has to be some trick to solve this one... ...

let R be a rectangle of length 2 and breadth 1.Consider ny quadrilateral which has one vertex on each side of R. a,b,c, and d denote the lengths of the sides of the quadrilateral.. the value of 't' satisfying a2+b2+c2 ...

in the neighbourhood of a rational no. there lie two irrationals..and vice versa.. ...

If y2=P(x) is a polynomial of degree 3 then 2d/dx{y3d2y/dx2} =? ...

find all functions f:R->R such that for all x,y belonging to - R f(f(x)+y)=f(x2-y) + 4yf(x) this has a two line answer!! ...

Q.A man tells lie every three out of 4 times .whats the probablity that he will report the outcome 6 of a die ...

If f(x)=(sin3x+Asin2x+Bsinx)/x5. when x is not equal to 0. Find A and B given that the function is continuous at x=0 and also find f(0)! ...

a)Let f(x+y)=f(x)+f(y) for all x and y and if the function is continuous at x=0, then show that the function is continuous at all x. b)If f(x.y)=f(x).f(y) for all x and the function is continuous at x=1. Prove ...

Let f(x)=lim (x2n - 1)/(x2n +1) , then n→∞ a) f(x) = 1 for /x/ >1 b) f(x) = -1 for /x/<1 c) f(x) is not defined for any value of x d) f(x)=1 for /x/=1 ...

If f(x)=lim (sinx)2n,then f is n→∞ A) conti. at x=Π/2 B) disconti at x=Π/2 C)disconti at x=ΠD) none of these ...

how do we find the distance between parallel lines ...

Find no. of sol of 2x+3x+4x -5x=0 ...

why is that in a rectangular hyperbola ,we have(ct,c/t) and not the other way round??? ...