Recently Active Mathematics Questions

Find last non-zero digit in 21!. ...

Circle x2+y2=1 subtends angle θ on a varible point P such that π/3 <θ< π/2 then the area of region generated by locus of point P is: ...

If n4+4n.then number of values of n,nEN is ...

Locus of the centre of the circle touching a given circle and a given straight line is a parabola y2=8x.Then (A)Centre of the given circle is (2,0) (B)If radius of the given cirlce is 2 units then given line must be the direc ...

Set of all positive values of a for which distance of vertex of y=2x2+ax+1 from x-axis is less than distance of vertex of y=-4x2+x+a from x-axis,is ...

Let a,bER and 0<a<1 and 0<b<1 if z1=-a+i,z2=-1+bi and z30 and z1,z2,z3 form an equilateral triangle then (A) (a+ 3 )(b+ 3 )=4 (B)a2-2a-2b=0 (C)(a-2)(b-2)=3 (D)a4-4(a+b)2=0. ...

Prove the following statement to be true: The polynomial p(x)=(ax2+bx+x)(ax2+dx-c),ac is not equal to zero,has exactly two roots ...

If the value of a third order determinant is 11,then the value of the square of the determinant formed by its cofactors is ?. ...

If a variable line,drwan through the point of intersection of the straight lines 3x+2y-6=0 and 2x+2y-6,meets the x-axis and y-axis in A and B,then the locus of point P such that PB:Pa =3:1 ...

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is alsoi the side of the quadrilateral is: ...

If f(x) has expansion f(x)=51C3(2-x)48+50C3(2-x)47+..................+47C3(2-x)43 then (A)Sum of coefficients in expansion of f(x) is 52C4 (B)Coefficient of x48 is 51C3 (C)Coefficient of x47 is -50C3 (D)Coefficient of x47 is ...

A circle is given by the following eqn x^2+y^2=a^2 . Also given a is any real no. Which of the following options may represent the total number of integral points inside the circle? a) 11008 b) 11009 c) 11010 d) 11011 ...

which is the best book to follow for learning c or c++ if i am a begineer & do not have any previous programming knowlegde ...

The equation mod ax2+b modx+c=0 has exactly k real roots (b2-4ac≠0) then find the conditions for 1) k=1. 2) k=2. 3) k+3 and 4) k+4. mod- modulus.. please!! will someone tell me how to copy the equations written on the latex ...

1. If f(x) = \lim_{x\rightarrow \infty } \frac{1}{1+nsin^{2}\pi x} , find f(x) for all real values of x. 2. 2f(x) + f(-x) = 1+x, find f'(10). 3. If a,b,c are in GP such that a+b+c = bx. Find all x satisfying the above relatio ...

Ques 1) If C is the centre and A,B are two points on the conic 4x^{2}\ +\ 9y^{2} - 8x - 36y + 4 = 0 such that angle ACB = \pi /2 , then CA -2 + CB -2 is equals to :- (a) 13/36 (b) 36/13 (c) 16/33 (d) 33/16 Ques 2) If p and P' ...

The tangent and normal to the parabola y2=8x drwan at (2,4) intersect the line lx+y=3 at the points A and B respectively.If AB subtends a right angle at the vertex of the parabola then sum of all possible values of l is: ...

1 > Prove that if " an " is a sequence of real numbers such that , " lim ( n → ∞ ) [ an ] = x " then , " lim ( n → ∞ ) [ a1 + a2 + ...........an/n ] = x " also . Source - Michael Spivak ...

Not doubts. 1)Let f(x) = ax4 + bx3 + cx2 + dx + e where a,b,c,d,e are integer. f(1) and f(2) are odd integer.If 'n1' be the number of integral root(s) of f(x) = 0 and 'n2' be the largest two digit prime factor of C (200,100) ...

a quadratic polynomial having zeroes a,b is given by P(x) = x2 - (a + b)x + ab similarly, a cubic polynomial having zeroes a,b,c is given by P(x) = x3 - (a + b + c)x2 + (ab + bc + ac)x - abc so what bout a polynomial having z ...

If (x+y)m has 3 consecutive coefficients in A.P.,then a possible value of m(here mEN) may be equal to: ...

if SK be the perpendicular from the focus S on the tangent at any point P on the ellipse x2/a2 + y2/b2 =1, then the locus of K is...................... ...

FInd teh value of : (4 cos29 - 3)(4 sin263 - 3) ...

In triangle ABC , the minimum value of tan2A/2 + tan2B/2 + tan2C/2 is equal to ...

A nice problem ;) (who am i to rate ? :P) If u choose 5 distinct real numbers there must exist some a and b for which the following inequality is valid |ab+1| > |a-b| Prove it!! source : ISI workbook ...

There are 5 pairs of shoes in a cupboard from which 4 shoes are picked at random. The probability that there is atleast one pair is: (a) 8/21 (b) 11/21 (c) 12/21 (d) 13/21 Please explain if you know the solution... Thank you! ...

Let f(x) , x greater than equal to 0 , be a non negative continuous funcn , and let F(x) = 0∫x f(t) dt , x greater than equal to 0. If for some c >0 , f(x) is less than equal to c F(x) for all x greater than equal to 0, ...

If z is a complex number such that arg( z-2/z+2 ),then the value of !z-2i!,(! . ! means modulus. ...

*Image* ABC is a an acute-angled trianlge in which LB = 2LC and AD is the internal bisector of A which meets BC at D such that, CD = AB prove that, LA = 72° An interesting problem no doubt but an easy one though..!! Its from ...

The value of C1+2C2cos@+3C3cos2@+4C4cos3@+.................................+nCncos[(n-1)@] ...