Recently Active Mathematics Questions

The least value of 9tan2∂ +4cot2∂ is a) 13 b)5 c) 0 d) none of these ans. d ...

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If A+B+C=Pi , then prove that cos A+cos B+ cos C<3/2, where A, B, C are distinct. solve using graph ...

(1) \int_{0}^{\pi }{|\sqrt{2}sinx+2cosx|dx}= (2) If \int_{0}^{1}(ax+b)/(x^{2}+3x+2)^{2}dx = 5/2 then find value of a and b ...

solve differential equation. \frac{dy}{dx}=\frac{x+y+1}{x-y} ...

By transforming to parallel axes through a properly chosen point (h,k), prove that the eqn, 12x2-10xy+2y2+11x-5y+2=0 can be reduced to one containing only terms of the second degree. ...

For all values of x and y, sec2t = 4xy/(x+y)2 will be true if and only if a) x+y \neq 0 b) x=y , x \neq 0 c) x=y d) x \neq 0, y \neq 0 Ans b ...

find the of set values of a for which f(x)=( a+4 /1-a -1)x5-3x+loge5 decreases for all x ...

i was looking in hall and knight and ound that there were various methods to solve the same sum like the sum of 1.2.3 +3.4.5 i typicallly do these methods by the sigma method and i ifnd this cupled with some iq an metho of di ...

Find what straight lines are represented by the following eqn: x3-6x2+11x-6=0 ...

This is fun to work out. Let \tau(m) represent the number of divisors of the natural number m. Then prove that \tau(1)+\tau(1)+ ...+\tau(n) = \left[\frac{n}{1} \right] + \left[\frac{n}{2} \right]+...+\left[\frac{n}{n} \right] ...

2 regular polygons are inscribed in the same circle.first polygon has 1982 sides and second has 2973 sides.If the polygon has comon vertices,find their total no. and plz dont give me BT soln[1] ...

The following eqn represents two straight lines. 6y2-xy-x2+30y+36=0 Find their point of intersection and the angle between them. ...

f(x) = 1 +x , 0 ≤x≤2 = 3 -x , 2 < x ≤ 3 then f(f(x)) at x= 1 is [a] 1 (b] 3 i kno d method , so pls only tell wich one is d ans acc to u ? ...

we know fibonacci series.. 1 1 2 3 5 8.......... is there a way to find the nth term? ...

Five persons entered the lift cabin on the ground floor of an 8-floor house. Suppose that each of them independenly and with equal probability can leave the cabin at any floor beginning with the first. Find the probability of ...

find value of sin^{-1}(sin(2010))= ...

find- \sum_{r=0}^{q}({^{q}C_{r}}).(^{N}C_{n-r}).(a^{N-n+r}) ??? ...

1.If roots of ax^2-bx+c=0 lies between 0 and 1 P.T: log abc>2 5 ...

If y = sinx/1 + cosx/1 + sinx/1 + cosx/1 + ............ upto infinty. then prove ; \frac{dy}{dx} = \frac{(1+y)cosx+sinx}{1+2y+cosx-sinx} ...

The equation of circle(s) of radius 1 & touching the circles x2 + y2 - 2|x| = 0 is ? ...

1.find min value of:secA+secB+secC where A+B+C=PI. ...

If f(x)=\frac{a^x}{a^x +\sqrt{a}} [a>0] then evaluate \sum_{r=1}^{2n-1}{2f(\frac{r}{2n})} ...

A 15-letter word is to be formed by using 5A's, 5B's and 5C's.....Such dat there are no A's in the 1st 5 places, no B's in the next 5 places and no C's in the last 5 places. How many such words are possible? AKS solved dis fo ...

Q1 x_n=1^2-2^2+3^2-....+(-1)^{n-1}n^2 . Find x101 Q2 Find no of roots of (2.4)x=(2.6)x-1 Graphically it appears that one soln...but i am loooking for algebraic soln... Q3 If a,b,c ε R and (b-1)2<ac then find no. of solns ...

sry question got posted twice ...vry sorry for dat , nishant sir remove dis post , btw da question is here http://targetiit.com/iit-jee-forum/posts/functionssss-13844.html [1] ...

in ΔABC,O,N,G,O' are circumcentre,nine point centre,centroid and orthocentre .AL and BM are perpendiculars from A nad B on sides BC and CA.Let AD be the median and OD is perpenndicular to side BC and R be circumradius of ΔA ...

There are 5 identical red balls, 6 identical green balls, 7 identical black balls and 8 identical white balls, the number of ways of selecting five balls from them is ...

Find the area of the pentagon whose vertices are (4,1) (3,6) (-5,1) (-3,-3) and (-3,0) Use 1/2{ |x1 x2| + |x2 x3| +......+ |xn x1| } |y1 y2| |y2 y3| |yn y1| ...

Find the fixed point which all chords of the curve 3x2 - y2 - 2x + 4y = 0, subtending a right angle at the origin, pass through. ...