Recently Active Mathematics Questions

1.If sin-1x + tan-1x =/2 then 2x2 + 1 = a) 5 b)[sqrt(]5-1)/2 c)2 d)none 2.If cos-1x/2 + cos-1y/3 =0, 9x2 - axycosθ + by2=csin2θ prove that a-b+c=44. ...

Draw the graph of [y] = [sinx] and y =cosx. Hence find the no. of solutions. [.] is GIF. In interval -π to π) Problem: I could draw it approximately but it's getting tougher to find solns. Well, my graph becomes dirty. ...

Evaluate \huge \frac{1}{2-\frac{1}{2-\frac{1}{2-\frac{1}{2-\frac{1}{2-.....\frac{1}{2-1/2}}}}}} We have 100 2's ...

Find all pairs (a,b) of real numbers such that whenever α is a root of x2 + ax + b = 0, α2 - 2 is also a root of the equation. I am confused with the solution of this question... case1 : When α = β So there is only one po ...

Show that \sum_{k=0}^{n}{C(n,k)sinkx cos(n-k)x} = 2^{n-1}sinnx ...

1) A line drawn from P(p,q) intersects the curve x^2+2hxy+by^2-1=0 at points Q and R(P not lying on th curve).If the product PQ . PR is always equal to 2,then: a)p=1, q=-1 b)p^2 + q^2 = 2 c)p=0, q=2 d)p=-1, q=1 ...

A is the point (4,0) and M is the foot of the perpendicular drawn from a point to the y-axis.If P moves such that the distances PA and PM are equal find the locus of P. I get the answer as 8x=16+y2. Am I right? If not,plz sho ...

The line joining A = ( b cosα,b sinα ) and B = ( acosβ,asinβ ) is produced to a point M(x,y) so that AM:BM = b:a. Prove that x+y tan( α+β/2 ) = 0. ...

Find the last term of the A.P formed by the common terms of both the A.P's 15,17,19....... 135 and, 21,27,33........ 561 ...

in triangle ABC the coordinates of the vertex A are (4, -1) and the lines x-y-1=0 and 2x-y-3=0 are internal bisectors of angles B and C then , radius of incircle of triangle ABC is ...

3SINX - 4 SIN3X - K=0 ANGLE A AND ANGLE B SATISFY THE ABOVE EQUATION. A>B (GIVEN) FIND ANGLE C? WHERE A,B AND C ARE THE ANGLES OF A TRIANGLE ABC....... ...

*Image* Integrate(xb-1 - xa-1)dx / 1-x, Limit {0 , Infinity} and 0<a,b<1. ...

1.There are n≥4 points situated on the plane such that no two of the lines joining them are parallel and no three of lines joining them are concurrent except at the given points.Find the number of points of intersection, ot ...

Prove that among any 16 distinct digit +ve integer not exceeding 100 there are four distinct ones a,b,c,d such that a+b=c+d ...

If a,b,c,d are unit vectors such that (a x b) . (c x d) =1 and a . c=1/2.....then A) a,b,c are non coplanar B) b,c,d are non coplanar C) b,d are non parallel D) a,d are parallel and b,c are parallel ...

Help me find the domain of the following functions. 1)f(x) = √(x2 - l x l - 2) Here am getting 2 cases when x≥0 and x<0, for x≥0 am getting the value of x as x≥2 and for x<0 am getting x≥-2 and x≥1, please t ...

lt from (-1 to 3/2) ---∫ IxI + Ix+2I + Ix+4I .dx where I I is modulus.... can we do it by breaking of limits or some other method??? ...

let a, b be the distinct positive roots of the equation tanx = 2x then evaluate ∫(sin(ax).sin(bx)) dx independent of a and b. lower limit = 0 upper limit = 1 ...

x4 -(x - 1)2 \ (x2 + 1)2 + x2 - (x2 -1)2 \ x2 (x +1)2 - 1 + x2 (x -1)2 -1 \ x4 -(x+1)2 ...

for any funtion y, dy/dx = (x - a)2n(x - b)2n+1 then a) a and b r point of minimum b) a and b r point of max. c) a is point of min and b is point of max d) a is point if max and b is point of min e) none of above ...

If the angle between the hands of a clock be 54 degrees and the time it reads be between 7 and 8.Find the time indicated by the clock. ...

SIN2X + COS4X = A FIND MAXIMUM VALUE OF A.... ...

What is the remainder when 21991 is divided by 1991 ...

*Image* ...

Find the sum of all numbers greater than 10,000 formed by using the digits 0,2,4,6,8, no digit being repeated in any number. ...

Can any one explain me how to find the coeff. of x5 in the expression (1+x)(1+x+x2)(1+x+x2+x3+x4)2 I did not start Binomial Expansions yet. So please explain in easy language. ...

Hello all, I am extremely interested in taking FREE online test series for iit-jee.Its just that I want to test myself.I know that even targetiit.com offers it too, but I would like to know the list of other websites which of ...

I would be grateful to anyone who could explain me in detail. 1) No. of ways in which 6 diff. toys can be given to 2 children so that all toys donot go to the same child. 62 2) No of ways in which 6 diff. toys may be distribu ...

when we say the confition for a number k to be greater than both the roots of ax2+bx+c (whether a is less or greater than 0), one of the conditions is af(k)>0. Why do we multiply a with f(k) and why not simply check whethe ...

reading this quesn mite make u feel this is a 9th class quesn(it atleast made me feel so:P) but still cudnt do it:P now i realise why my maths is weak........kaash 9th mein dhang se padh leta:P In a triangle OAB , E is the mi ...