Recently Active Mathematics Questions

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if f(x)=x3-3x+1 then fiind the number solution of f(f(fx)). plzzz do solve in detail nd explain how to solve.. ...

x2+y2 = aetan-1(y/x) , a>0 then y''(0) : a) a/2.e-π/2 b) aeπ/2 c) -2/a.e-π/2 d) none ...

1. If a(0) = x , a (n+1) = f( a ( n ) ) , n= 0 , 1 , 2 , ............................., find a(n) when (i) f(x) = root of (mod x ) (ii) f(x) = 1 / 1-x 2. Let f(x) be a real valued funcn defined for all real nos x such that fo ...

find the point inside the triangle ABC so that the largest distance from any side is minimum. a) centroid b) orthocenter c) circumcentre d) none of these ...

the diagonals PR & QS of the quadrilatrl PQRS intersect at M and the areas of the triangles MPQ and MRS are 16 cm2 and 25 cm2 respectivly. let the min. possible area of the quadrilateral PQRS be A cm2 .then the sum of the squ ...

find the maximum value of~~ cosA +cosB +kcosC A+B+C=pi k<1/2 please help!! ...

If tan(a-b)/tan a+sin2c/sin2a=1,show that tana.tanb=tan2c ...

If cos (θ – α), cos θ, cos(θ + α) are in HP, then cos θ sec (α/2)is equal to (a) -1 (b) − 2 (c) 2 (d) 2 ...

A point P moves inside a triangle formed by A(0,0), B(1,1/ 3 ), C(2,0) such that min{PA,PB,PC} =1, then the area bounded by the curve traced by P is.... (a) 3 3 - 3∩/2. (b) 3 + ∩/2. (c) 3 - ∩/2. (d) 3 3 + 3∩/2. i am n ...

0≤i<j<k<l≤nΣΣΣΣn ans: n(n+1C4) ...

OUT OF 30 TICKETS MARKED WITH NUMBERS 1 TO 30 , 3 ARE DRAWN AT RANDOM ; FIND THE PROBABILITY THAT THESE ARE IN GEOMETRIC PROGRESSION. PLS. HELP ME WITH THESE SUM. pls... tell how the answer comes... ...

Consider the polynomial f(x) = ax2+bx+c. If f(0) = 0 and f(2) = 2, find the minimum value of \int_{0}^{2}{\left|f'(x) \right|}dx equals?? i get 2a+b=1 (simple), but how to get the value of -b/2a?? ...

1/secA-tanA prove this is equal to secA+tanA ...

Prove that \sqrt [44] {\tan 1^{\circ} \tan 2^{\circ}...\tan 44^{\circ}} < \sqrt 2 -1 <\frac{\tan 1^{\circ} + \tan 2^{\circ}+...+\tan 44^{\circ}}{44} ...

You have 2 balls. Both are identical in size and mass, but one is made of gold and is hollow,the other is not hollow and made from titanium. Find out which is which ball, and lets say both are covered with a black paint that ...

another quesn : 1. Let b not equal to 0 and for j = 0 , 1 , 2 , .........,n let Sj be the area of the region bounded by the y - axis and the curve xeay = sin by , j pi/b is less than equal to y is less than equal to (j+1) pi ...

1.If A and B are square matrices of the same order and A is non singular then for a positive integer n, (A^-^1 BA)^n is equal to (A) A^-^1 B^nA (B) n(A^-^1 BA) (C) A^-^n B^nA^n (D) None of these 2.Prove that adj(A^-^1)= adj(a ...

For a > 0, prove that the circle x2 + y2 =1 and the parabola y=ax2 - b intersect at four distinct points, provided a>b>1. This is the solution given in my book. Since a>0, by figure -b<-1 i.e. b>1 also when ...

Find the equation of the circle described on a focal chord with slope m, of the parabola y2=4ax as diameter. There are two approaches to this problem. 1) The end points of the focal chord are (a/m2,2a/m) and (am2,-2am) So the ...

Coming back after a long time..... The question: Prove that a point can be found which is equidistant from each of the following four points: A (a m1, a/m1), B (a m2, a/m2), C (a m3, a/m3), and D (a/m1m2m3, a m1m2m3) ...

1) Let R be a relation on N defined by x + 2y = 8. The domain of R is (a) {2,4,8} (b) {2,4,6,8) (c){2,4,6} (d) {1,2,3,4) . Give the reason to your answer. 2)The relation 'R' in NxN such that (a,b) R(c,d) <==> a+d=b+c. H ...

What is the Diff between eccentric angle and parametric points of an ELLIPSE? DO NOT TELL THE DEFINITION but tell me if they can be used interchangeably as I have seen in some ques............. ...

1)Modulus Function if a, b are positive real numbers,then x2 ≥ a22 <=> lxl ≥ a <=> x ≤ (-a) or x ≥ a. HOW x ≤ (-a) ? 2) Greatest Integer Function [x] > k => x ≥ k + 1, where k is an integer. Plea ...

if sinx+cosx+tanx+cotx+secx+cosecx =7 find x ...

plz factorise tis one for me 2m'2 - mm' - m2 okay i know the ans...bt plz do d steps fr me.. thanks in advance!!! [1] ...

Prove that for n ≥ 6, the equation 1/x12 + 1/x22 + 1/x32 + .... + 1/x2n = 1 has integral solutions. ...

why do we say that ax2+bx+c >0 when a>o and D<0 and ax2+bx+c <0 when a<0 and D<0 ...

1.If z is a unimodular complex number, prove that arg(z2 + conjugate of z) = 1/2 arg(z) 2.If \left|z \right| = 1 and z is a non real then prove that z can be expressed in the form of c + \iota /c - \iota where c is real .Also ...

Sum to 'n' terms 1/(1 - x)(1 - x3) + x2/(1 - x3)(1 - x5) + x4/(1 - x5)(1 - x7) + .......... also find Sum if 'n' = ∞ , given that |x|<1 ...