Recently Active Mathematics Questions

These are the polynomial type graphs! 1) (x-1)(x)(x+1)4(x+2)3 2) (x-1)(x)(x+1)(x+2) 3) (x-1)(x)/{(x+1)(x+2)} 4) y-1=xy+x 5) (x+1)/(x-1) ...

PLot the graphs of these! 1) 1/2x, 1x, 2x, ex on the same plane (sheet) 2) 2x, 2-x, 22x, 2-x on the same sheet! 3) 2x and 1+x3 on the same sheet! 4) [y]=[x] 5) [y+1/2] = [x] 6) [x] = [2y] 7) [2x] = [3y] 8) [2x ...

find teh coordinates of point from which the tangents are drawn to teh circle x2+y2-6x-4y+3=0 such that the mid pt of chord of contact is (1,1) ...

derive the formulae for 12+22+32+......+n2 without using mathematical induction ...

A and B plays a game of tennis. The situation of the game is as follows: if one scores two consecutive points after a deuce he wins; if loss of a point is followed by win of a point, it is deuce. The chance of a server to win ...

find the period of the function f(x)= Cos( lsin xl -l cos xl ) ...

show that orthocentre of triangle formed by lines ax2+2hxy+by2=0 and lx+my+n=1 is given by x/l =y/m =(a+b)/(am2-2lmh+bl2) ...

Show that the area of triangle formed by tangents from the point (4,3) to teh circle x2+y2=9 and teh line segment joining teh points of contact is 192/25 sq units ...

Prove dis a/b+c + b/c+a + c/a+b ≥3/2......fr a,b,c>0 ...

If A(z1),B(z2),C(z3) are the vertices of an equilateral triangle in the argand plane,then *Image* is _____ ...

The smaller area enclosed by y=f(x),where f(x) is a polynomial of least degree satisfying *Image* *Image* and the circle x2+y2=2 above the x-axis is *Image* ...

How many times do 2x and x2+1 intersect and what r the points of intersection? I will tell reason for this question later :) ...

minimum value of (a+b+c+d)(1/a+1/b+1/c+1/d) is ...

prove that the tangents to circle x2+y2=5 at the pt (1,-2) also touches x2 +y2 -8x +6y +20=0 and find pt of contact. ...

if α , β are roots of x2-px+q=0 ,then products of the roots ofquadratic equation whose roots are α2-β2 and α3-β3 is p(p2-q) show ...

Two parabola's y2=4a(x-λ1) and x2=4a(y-λ2) always touch each other, λ1 and λ2 being variable parameters. Then their points of contact lie on a _ 1) straight line 2) parabola c) circle d) hyperbola ...

∫sin- x - cos- x / sin- x + cos- x dx = ? ...

∫F(x)sinxcosx.dx = F(x)/ 2(b2 - a2),then F(x) =? 1) 1/a2sin2x + b2sin2x 2) 1/a2sin2x - b2cos2x 3)1/a2cos2x + b2sin2x 4) 1/a2cos2x - b2sin2x ...

Prove that the circles x2+y2+2ux+2vy=0 and x2+y2+2u1x+2v1y=0 touch each otehre if u1v=uv1 ...

*Image* (where {.} denotes fractional part and [.] denotes greatest integer function ) is equal to _________ ...

If a and b are chosen randomly from the set consisting of numbers 1,2,3,4,5,6 with replacement,find the probablity that lim (ax -bx+2/x)/2 =6 x--->0 ...

A vertical pole consists of two portions,the lower being 1/3rd of the whole.If the upper portion subtends an angle arctan(1/2) at a point in a horizontal plane through the foot of the plane and distance 40ft from it,then the ...

The equation of bisector of internal angleA of the triangle ABC The equation of whose sides are AB:x+y=1 BC:7X-Y=15AND AC:x-y=1 ...

if eqn 2hxy +2gx+2fy+c=0 represents 2 st. lines show that they form a rectangle of area mod(fg)/h2 with axes ...

4,5,8,17,44, how to calculate next no. in series how to crack these question and how to crack matrix question i want to know fastest method not time consuming method ...

prove that lines a2x2+2h(a+b)xy+b2y2=0re equally inclined to the lines ax2+2hxy+by2=0 ...

suppose f(x)=x3+ax2+bx+c a,b,c are chosen respectively by throwing die three times.Find probability that f(x) is inc. function ans=5/12 ...

1.How do curves of following differ(if they) a) y=log3x2 and y=2log3x b) y=2log2x and y=x c) y=tanx.cotx and y=1 2.Sketch the curves of following without help of calculus............ (draw the rough sk ...

how to find inverse by graph! let take example x+sinx?? ...

Find the area bounded by the curves x2+y2=4, y=x2+x+1, y=[sin2(x/4)+cos(x/4)] and the x-axis,where [.] denotes greatest integer function!! ...