Recently Active Mathematics Questions

The angle between tangent drawn from the point (3,4) to the parabola y2 -2y+4x=0 is ...

When u differentiate a curve, d differential tells d slope of tangent rite???? wel wat if it is a cubic equation and when we diff. it we get a quadratic, but a quadratic eqn. is not a straight line and it cant ...

if z is a complex no lyin in d foruth qudrnt of d argnd plane and mod (kz/(k+1) +2i) > 2 for all eal values of k (k=!-1) then d range of arg(z) is ...

If alpha, beta are the roots of x2+px+q=0 and also of x2n + pnxn + qn = 0 and if α/β, β/α are the roots of xn + 1 + (x+1)n = 0 , then prove that n must be an even integer. ...

Prove that the segment of the normal to the curve x=2asint+asintcos2t; y=-acos3t contained between the coordinate axis is equal to 2a!!!!!!!!!!!!!! ...

There is a factory of gold in which there are 4 machine each machine produce 100 gm gold coin. one day suddenly due to technical prob. in machine one machine start making coin of 90 gm instead of 100 gm PROBABLITY OF finding ...

Find no of points having integral coordinates on line 3x+5y=2007 in first quadrant excluding coordinate axes..... .........................(FIITJEE AITS ) ...

Find the area under one loop of r=acos4θ ...

lim x->0 tan [(sin-1 x4 - siin-1 x9)/4] ...

try to prove the following inequality given that a,b,c are positive reals Cyclic[(a^2) / {b(a + 2b)}] >= 1 a harddddddddddddddddd problem not at all easy unless u guys know Cauchy Schwarz inequality ...

the position vectors of point P nd Q re p and q respectively. if O is the origin and R is a point in the interior of angle POQ such that OR bisects the angle POQ then find the unit vector along OR ...

Find the equation of the parabola whose axis is parallel to y-axis and which passes through the points (0,4) (1,9) (-2,6) and determine its latus rectum.??? ...

equation of locus of point of intersection of 2 tangents of d hyperbola x2/a2-y2/b2 =0 such dat d sums of their slopes is 5 ...

two straight lines rotate abt two fixed points (-a,0) and (a,0) . if they start from their position of coincidence such that one rotates at the rate double the other, then... locus of the curve is ?? ... 1)circle 2)pa ...

A point on the hypotenuse of a right triangle is at a distance ‘a’ and ‘b’ from the sides of the triangle.The minimum length of the hypotenuse is........................ ...

*Image* can u find it>?>?>>?> ...

if z is a complex number then the greatest value of z which satisfies the equation modulus(z-12)/modulus(z-8i)=5/3 and mod(z-4)/mod(z-8i)=1 is a.10 b.10√13 c.12√5 d.none of these. ...

1)Tan-1{x/ a2-x2 } convert 2 simplest form. 2)sin-1{(sin x +cos x)/ 2 } ;-Î /4<x<Î /4 3)if a>b>>c>0,prove that cot-1(ab+1/a-b) + cot-1(bc+1/b-c) + cot-1(ca+1/c-a)= Î ...

∫x2/xsinx+cosx ...

Find the foot of the perpendicular from P(1, 2, 3) on the line (sum line is given..........)....... Also obtain the equation of the plane containing the line and the point (1, 2, 3)........... My doubt is how do we find the e ...

∫ 1 /( 3 + 2 SIN x + 3 COS2 x + SEC 2 x) dx ...

no. of real solution of 2x/2+(√2+1)x=(5+2√2)x/2 is ...

solve fr x and y xy=2x-y solve for x and y. x and y are integers ...

4. Find the coefficient of x^n in the expansion of (1+x/1!+x^2/2!+ ...........x^n/n!)^2 ...

The radical center of three circles described on three sides of triangle as diameeter is............... ...

I know many of you would've done this problem before still i thought it would be fun to check your presence of mind(not knowledge in coordinate!!!!) Assume an arbitary st. line cutting a hyperbola (assume x2/a2-y2/b2= ...

Numbers are selected at random one at a time,from the numbers 00,01,02,...99 with replacement.An event E occurs if and only if the product of the two digits of a selected number is 18.If 4 numbers are selected ,then the proba ...

area of the greatest rectangle that can be inscribed in ellipse x2/a2+y2/b2=1 ...

The equation of largest circle passing from (1,1) and (2,2) and always in first quadrant........... ...

Origin is limiting point of coaxial system of which x^2 +y^2 -6x -8y +1=0 is a member.The other limiting point is ..... ...