Recently Active Mathematics Questions

wel ive cum across many questions of this type..........BUT......... wat is d exact procedure doin such questions??????????? -What is the number of positive integers which divide (2 ...

ABC is a right angeled isoceles triangle with B=90° .it slides in the X-Y plane with its vertex A on the Y axis and with the vertex C on the X axis and such that the origin and the vertex are at the opposite side of AC.f ...

A bag contains n white balls & n red balls.Pairs of balls are drawn without replacement until the bag is empty.Find the probability that each pair consists of one white ball & one red ball. ...

A variable st. line cuts off from the given st. lines concurrent at origin,intercepts ,the sum of reciprocals of which is a non zero constant K.Show that varibale line passes through a fixed pt. whose coordinates are (i=1 ...

The tangent to a variable point P on the curve y=x2-x3 meets the curve again at Q. Show that the locus of the middle point of PQ is y=1-9x+28x2-28x3!!!!!!!!!!!!!! ...

determine a differentiable function y=f(x) which satisfies f'(x)={f(x)}2 and f(0)=-1/2. Find also the equation to the tangent at the point where the curve crosses the y-axis!!!!!!!!! ...

integrate x((a^2-x^2)/(a^2+x^2))^(1/2) ...

find ∫xdx/(1+sin x) limits 0 to pie/2 find ∫x(tan x)dx/{(sec x)+(tan x)} limits 0 to pie ...

In how many ways 5 different balls can be arranged into 3 different boxes so that no box remains empty? ...

if the lines ax+2y+!=0,bx+3y+!=0 and cx+4y+1=0 passes through the same point then a,b,c are in___________ ...

The lines represented by x2+2@xy +2y2=0 and the lines represented by (1+@)x2-8xy+y2=0 are equally incline then calculate prove that @=±2 ...

In the eqn. ,y-m1x-c1+K(y-m2x-c2)=0;K is a variable qty. which may have any value then the st. line represented by this eqn. passes through the pt. _________ ...

The family of lines is given as a(3x+4y+6)+b(x+y+2)=0.The line of the family situated at the greatest distance from the point P(2,3) has the equation____ ...

Find the area bounded by the curves 5 ≤|z|≤2 3 and z2+z2-2zz+8z+8z>0 I have solved it up to tracing the graph,After that,I don't know how to proceed,Please solve that part alone!!!! ...

if ax3+by2+cx2y+dxy2=0 represents 3 distinct straight lines,so that each line is angle bisector of of the other two,then prove that c+3b=0 ...

The incenter of traingle formed by lines x=0,y=0,5x+12y=0 is______ ...

Q1if a,b,c are the three terms of AP then prove that the line ax+by+c=0 always passes through a fixed point. Q2if a,b,c are the three terms of GP then prove that the line ax+by+c=0 always forms a triangle with axes of ...

if f(x-f(y))=f(f(y))+xf(y)+f(x)-1...........find f(x)...... ...

If orthocentre of triangle ABC is (4,3),centroid is (6,5) and A is (0,3),then vertices of B can be..... ...

BC is latus rectum of a parabola y2=4ax and A is its vertex , then minimum length of projection of BC on a tangent drawn in the portion BAC is ...

the st lines 12x-5y-17=0 and 24x-10y+44=0 are tangents to the same circle.Then the radius of circle is ?? ...

the common chord of a circle with centre (-4,0) and a parabola y2=8x subtends an angle 90 at the vertex.Find the radius of the circle. ...

iif d roots of d equation z^2+az+b=0 are imaginary then find d condition on a ,acon ,b,b con tell me d way 2 saolve such q's plez b quick :'( ...

Find common roots of equation z3+2z2+2z+1=0 and z1985+z100+1=0 ...

If x,y,z are respectively sines and p,q,r are respectively the cosines of angles α,β,γ which are in A.P with common difference 2pi/3 ,then 1)x+y+z=? 2)p+q+r=? 3)xy+zx+yz=? ...

prove tan a + tan 2a + tan 3a = tan a . tan 2a . tan 3a my friend gave me from school.. i cant get anything to work on.. this is so tough :( ...

f:R->[0,infinity) is such dat f(x-1)+f(x+1)=√3 f(x) then find the period of f(x). do we really have a method to find it, my sir told me to do it by hit and trial !! and it was a MSQ but i m nt givn da opt ...

An open can of oil is accidently dropped into a lake; assume the oil spreads over the surface as a circular disc of uniform thickness whose radius increases uniformly at the rate of 10cm/sec. At the moment the radius is 1m th ...

Someone walks into your room and dumps a huge bag of coins all over the floor so that no coins are on top of any other .A robot then comes into the room and is programmed such that if it sees a head, it flips it to tails. if ...

Two parabolas y2=4a (x-lambda1) and x2=4a (x-lambda2) always touch each other(lambda1,lambda2 being variable parametres). then their point of contact lies on a ...