Recently Active Mathematics Questions

Just tell me this. When we have an inequality a < x < b where b > a, does it imply that x > a AND x < b or x > a OR x < b? Put in set theory, is it a union or an intersection? ...

There is a n-sided regular polygon having n number of vertices. I randomly choose a line segment joining any 2 vertices of the polygon. What are my Chances that it is a diagonal of the polygon. *Image* I hope that the questio ...

Please give solutions for these:- 1) If a2+b2+c2=4, x2+y2+z2=9 then what is the maximum value of ax+by+cz ? 2) Sum of the series upto 11 terms : 1.2.3.4+2.3.4.5+..........+n(n+1)(n+2)(n+3) 3) Prove 1.3.5.7......upto 100 terms ...

FIND THE DOMAIN OF (X-1)/X-2{X} ?WHERE {.} DENOTES.FRACTIONAL X?? ACORDING TO THE GIVEN ANSWER IS- (-∞,0)U(0,1]U[2,∞).. BUT I DONT THINK THE ANWER IS CORECT BCOZ U TAKE ANY POINT IN [1,2] THE POINT WILL SATISFY THE GIVEN ...

in the fuct. f(x) = | Sin x | ...... which points are described as non-diff points...... i 've ans it as at x=nπ , n ε I.... the grapgh will be non-differential,..... but the ans given in the buk is at only x=0 , the graph ...

If Sn denotes the sum of the products of the first n natural numbers taken two at a time, then find the sum of the infinite series : ∞ Σ Sn/(n+1)! n=1 ...

1) If t be a real number satisfying the equation 2t3 - 9t2 + 30 - a, then find the values of the parameter 'a' for which the equation x + 1/x = t gives six real and distinct values of x. ...

If A ≡(3,4) and B is a variable point on the line |x|=6.If AB≤ 4 then the no. of positions of B with integral co-ordinates is: a)5 b)10 c)12 d)6 ...

∞ Σ xn+1 = x2/(1-x) n=1 ...

*Image* this is 0 to pie *Image* this is indefinite ...

1.Tangents at the three points of a parabola y^2 = 4ax form a equilateral triangle . Prove that the vertices of the triangle lie on the curve (3x + a)(3a + x) = y^2 2.Prove that the normal to the parabola y^2 = 4ax at (am^2, ...

prove that for all real x,y the value of x2 + 2xy + 3y2 - 6x - 2y cannot be less than -11. ...

Show that the number 510-310 is divisible by 11 ...

Q) y ≥ √(1-x2), max( !x!, !y!) ≤ 4 The slope of a family of lines is defined as m(t) = -sin2t + sint + 1, where (t, 2t+0.4) lies inside the region R. 1) The maxmvalue of the slope of any member of family is for t = (a) ...

prove that nth degree polynomial equation has n roots. ...

Well, Actually I don't know anything on how to solve such type of problems. Can anyone suggest any article or make a post for better understanding on how to approach such problems. Thanks! ...

P(x) be a polynomial of at most degree 5 which leaves remainders -1 and 1 upon division by (x-1)3 and (x+1)3 respectively. 1) Number of real roots of P(x) = 0 (a) 1 (b) 3 (c) 5 (d) 2 2) The maximum value of y=P''(x) can be ob ...

a3+b3+c3+3abc≥ab(a+b)+bc(b+c)+ca(a+c).....a,b.c +ve reals ...

Column I: A) The no of solutions of the system of equations x+2y = 6 and |x-3| = y is m, then B) If x and y are Integers and (x-8)(x-10) = 2y, the no. of solutions is n, then C) The no. of Integral Solutions for the equation ...

*Image* Help me with this. I don't have the book ...

1. *Image* differentiate it 2.if f '(x) = sinx + sin4x.cosx , then f ' (2x2+∩/2 ) is ...

I could not solve this for quite sometime... lets see who can ... let f(x)=(2x-Ï€)3 + 2x - cos x find d/dx [f-1(x)] at x=Ï€ [1][1][1] ...

let a,b,c be 3 real no.s such that 1>a^-1+b^-1+c^-1=1/2 2>a+b+c=2 3>a^-2+b^-2+c^-2=1/4 match the following:- I)abc is greater than a)6 II)ac+ab+bc is less than b)8 III)a^2+b^2+c^2 is less than c)-2 IV)a^3+b^3+c^3 is ...

If sin2θ+sin2φ= 1/2 and cos2θ+cos2φ= 3/2 , then cos2(θ-φ) = a) 3/8 b) 5/8 c) 3/4 d) 5/4 This question is from rd sharma's MCQ.Plz support yur ans with steps. ...

Q1: No. of ordered pair (x,y) satisfying the Eqn x2+1=y and y2+a=x is: Q2: If the Eqn ax2+bx+c=0 and x3+3x2+3x+2=0 has two common roots, then: A) a = b (Not Equal to) c B) a (Not equal to) b = c C) a=b=c D) a=-b=c Please Expl ...

1 > Solve the following equation for " x " - 16 x 6 - 24 x 4 + 10 x 2 - 1 = 1/8 x 2 > The positive reals " x " , " y " , " z " satisfy the following equation - x 2 + x y + y 2/3 = 25 y 2/3 + z 2 = 9 z 2 + z x + x 2 = 16 ...

If the complex sequence of numbers z0, z1, z2........satisfy z_0=i+\frac{1}{137} and for n≥1 z_{n+1}=\frac{z_n+i}{z_n-i} then find the value of z2007 ...

1.the radii r1,r2,r3 of escribed circles of a triangle ABC are in harmonic progression.if its area is 24 sq.cm. and its perimeter is 24 cm,find the lengths of its sides. ans:6,8,10 2.In a triangle ABC,if A:B:C =3:5:4,then a+b ...

a well known one, but still very amusing(i think this has been already been discussed but still): An airplane has 100 seats, and 100 passengers were assigned seats. The first passenger enters the plane and rather than sitting ...

plz can ne1.... provide me the graph 4 f(x) = sin n x n= 1,2,3,.......... ...