Recently Active Mathematics Questions

There are 6 points in a plane such that no 3 are collinear. Each point is joined to another by a coloured line which is either blue or red. Find the minimum no. of monochromatic triangles. ...

f(x)=(x-p)8(x-q)16 p not equals to q then how many real roots possible for f(x)? and please explain wat is the root repeated and how many times it repeated. please give me ur explanation. ...

Let f (x) = (x2 -1)k where k belongs to N. The number of distinct real roots of equation f n (x) = 0 are 'm' (where f n (x) denotes the nth derivative of f (x)). If 'm' equals to 10 for exactly one value of 'n' , then k equal ...

please everyone help me on this I know for integration ∫f(ax+b)dx = (1/a)F(ax+b) + c is this right? i.e. we do everything with ax+b as we wud have done with x and then divide the whole by coeff. of x is this ok ?? plz ans i ...

limn→∞ (n!/(nk)n)1/n please do solve this even if it seems simple i don't think answer should be 1/(2k) but if you get this somehow it'll be very interesting ...

Let N has total 105 factors including 1 and N. If N is divisible by 1000 then total number of odd factors of N lying between 1 and N can be 1. 4 2. 6 3. 14 4. 20 ...

Find eq of plane passing through (-1,1,1) and (1,-1,1) and perpendicular to plane x + 2y + 2z = 5 plz give the steps in the solution sorry for dumb question but somehow i am getting stuck plz help. ...

a2 + b2 + c2 + r2 + rA2 + rB2 + rC2 + R2 = ........... (A) 7 R2 (B) 7 r2 (C) 17 R2 (D) 17 r2 a,b,c : sides of ∆le ABC r : inradius rA,rB,rC : exradii R : circumradius ...

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pl solve Qs 2,5,6,7,10.......it is in test section..most popular tests..test no33 ...

in a plane there are 5 straight lines which all pass through a given point , 6 others which all pass through another given point and 7 others which all pass through a third given point. supposing no other three intersect at a ...

lim (√2 cosx - 1)/ cotx -1 x→Π/4 My answer isn't matching! and I have lost patience...!! Please help!! ...

out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. in how many ways can the sailors be arranged on the boat ???? ...

the equation of the curve obtained by reflecting the curve y2=4x about the line x-y+13=0 will be ????? ...

Q8 minimize x4+ 1/x4 +x2+ 1/x2+ x+ 1/x+ x3+ 1/x3 +1 a) 0 b) 1 c) -3 d) 9 Your Answer: (b) Correct Answer: (d) Score: -1 PUT X=-1 AND SEE IT 4 URSELF.......... ...

*************)Two circles in a plane intersect at A and B.Starting from A two points move with constant speed,each traveling along its own circle in different sense.The two points return to A simultaneously after one revoluti ...

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if x=a(p+sin p), y=a(1-cos p) find dy/dx ans=tan p/2 i m not getting it.pls help dosto... ...

All the three vertices of an equilateral triangle lie on the parabola y=x2 and one of its sides has a slope of 2,then sum of x coordinates of the three vertices of triangle is ___ ...

two medians drawn from the acute angled vertices of a right angled triangle intersect at an angle 30 degrees.if the length of the hypotenuse of the triangle is 4 , then area of the triangle is ? ...

I1=Π/6∫Π/3sinx/x I2=∫(same limits )sin(tanx)/tanx I3=∫(same limits)sin(sinx)/sinx give the relation between I1 I2 and I3 ...

find dy/dx at x=e, y=e2x/logx a) (e-1)e2e/e b) o c) 1 d) (e2-1)e2e/e plz gv itz soln also itz a ques from some test here bt i cldn't solve it,so plz help..................... srry itz derivatives actually...........:) ...

Q1)The value of ∫a1[x]f'(x)dx,a>1,where [x] denotes the greatest integer not exceding x is? Q2) If I1=∫01 2x2dx ;I2=∫012x3dx ;I3=∫12 2x2dx; I4=∫122x3dx then a)I1>I2 b)I2>I1 c)I3>I4 d)I3=I4 Pls explain th ...

ax1+bx2+cx3+dx4=20 find the non negative integral solns for the the eqn .please explain??? How to find the coefficient of xr term in the expansion of (1+x)-20 ...

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Evaluate: 0∫πxtanx dx/(secx + tanx) ...

plz help me solve √tanx using 1st principle ...

a,b,c......,k are positive integers such that a+b+c+....+k≤n, then can we say that n!/(a!b!c!.....k!) is also a positive integer?? solve with proof ...

An octagon is inscribed in a circle.One set of alternate vertices form a square of area 5 units while the other set forms a rectangle of area 4 units,find the maximum possible area of the octagon ...

There r two sets of parallel lines,their equations being xcosα+ysinα=p; p=1,2,3,......m and ycosα-xsinα=q;q=1,2,3,4....n; and n>m wher α is constant. what is the no of squares that can be formed with these lines ...