Recently Active Mathematics Questions

Locus of intersection of perpendicular tangents to the curve 4y3 = 27x2 ...

If θ1 and θ2 be the angles which the lines (x2+y2)(cos2 θ sin2α+ sin2θ)= (x tanθ - y sinθ)2 make with the x axis and θ= π/6 , then what is the value of (tan θ1+ tan θ2) ? answer:(-8/3 cosec 2α) ...

This is a repost. The last time I posted this one it got buried somewhere Find \sum_{r=1}^n \tan ^{-1} \frac{2r}{2r^4+1} ...

\int \frac{1}{1+x^{2n}}dx ...

If there are 'm' non concurrent and non parallel lines, then what is the maximum number of points which are equidistant from all the 'm' lines? ...

question below ... ...

EVALUATE Σi≠j 21Ci*21Cj where 0 ≤ i ≤10 , 0 ≤ j ≤ 10. ...

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I was seeing a website.. which I recommend everyone to see... for the sake of mathematics not JEE.. These are many ways you can look(prove) AM-GM inequality! http://jwilson.coe.uga.edu/EMT725/AMGM/AMGM.html *Image* ...

There are 5 eligible punjabi grooms of which 3 know bengali and 5 eligible bengali grooms of which 2 know punjabi . There are 5 eligible punjabi brides and 5 eligible bengali brides.If an eligible groom is agreeable to marry ...

THERE ARE 10 INTERMEDIARY STATIONS BETWEEN TWO JUNCTIONS WHERE AN EXPRESS TRAIN STOPS.IF 6 PERSONS BOARD THE TRAIN AT SOME INTERMEDIARY STATION OR OTHER DURING THE JOURNEY AND EACH OF THE 6 PASSENGERS HOLD A DIFFERENT VARIETY ...

A BADMINTON CLUB HAS 10 COUPLES AS MEMBERS .THEY MEET TO ORGANISE A MIXED DOUBLE MATCH .IF EACH WIFE REFUSES TO PARTNER AS WELL AS OPPOSE HER HUSBAND IN THE MATCH THEN IN HOW MANY WAYS CAN THE MATCH BE ARRANGED?? ...

Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a ...

I = \int^{h/2}_{-h/2} \left( \frac{4x^2}{3} + \frac{2l^2}{3} \right)^{\frac{1+n}{2n}}dx ...

dθ/√sinθ ...

What is the no of real roots in 2\left|x^3 \right| + 3x^2 -12\left|x \right| + 1 = 0 ? ...

Find the distance between the point P(6, 5, 9) and the plane determined by the points A (3, – 1, 2), B (5, 2, 4) and C(– 1, – 1, 6). ...

solve cosA + cos B + cos C+ cos (A+B+C) and post the hint ...

Paragraph for comprehension 7 to 9 The tangents at P and P’ on the parabola y^2 = 4ax meet in T. S is the focus, O is the vertex and SP, ST and SP’ are equal to , and respectively. The tangent at the point P(x1, y1) to th ...

what is the max value of cosA + cosB + kcosC \left( 1/2<k<1 \right) in a triangle ...

i have some unsolved questions in inverse trigno..........posting here....... Q1 Find range of values of a if sum of series \sum_{n=1}^{infinity}{(\frac{sec^{-1}\sqrt{\left|x \right|}+cosec^{-1}\sqrt{\left|x \right|}}{\pi a}} ...

this question shows the extent of love in todays world.... a man has x+1 children frm prev. marriage and his current wife has x childern frm prev. marrage ............ they marry and have chidern of thier own ..... find max. ...

A nice question ..try to find d answer I=(x-a)(x-b)(x-c)..........(x-z).... find d value of I?? ...

PLEASE EXPLAIN WITH EXAMPLES AND GRAPH ...... WHAT IS REMOVABLE , JUMP AND OTHER VAROIUS FORMS OF DISCONTINUITY [1] ...

Prove that four point picked at random in a parallelogram form a convex quadrilateral with probability 25/36 ...

A line passing through A(2,2,4) and parallel to line L ≡(x-2)=(y-1)=(z-2)/3 is incident of the mirror plane x+2y+2z-5=0. The equation of the reflected ray is a) (x-1)=(y-1)/3=(1-z) b) (x-1)=(y-1)/-3=(z-1) c) x=(2-y)=z d) x= ...

Let f be a real valued function defined for all real x such that for some fixed real number a > 0, such that.. \huge f(x+a)=\frac{1}{2}+\sqrt{f(x)-(f(x))^2} and \huge \frac{1}{2}\leq f(x)\leq 1, \forall x Show that f(x) is ...

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divide n distinct objects into l groups containing p objects each m groups containg q objects each then find the way of group formation and also find the permutation of these groups ...

∫dx/(x+3)8/7(x-2)6/7 ...