Recently Active Mathematics Questions

if the asymptote of the hyperbola (x+y+1)2 - (x-y-3)2 = 5 cuts each other at A and the coordinate axis at B and C then radius of circle passing through the points A, B ,C is ...

if a girl stands on a rotating platform and then suddenly if she getz her hands inwards towardz her then angularmomentum increases angular velocity decreases moment of inertia decreases moment of inertia increses wch of the f ...

If y=e^x sinx Find d10y/dx10. ...

Show that the locus of a pt. which moves in such a way that the square of its distance from the base of an isosceles triangle is equal to the rectangle under its distance frm the other sides , is a circle. ...

y=( 1/x )2(x)2 wt is its max. value?? it is an easy one.. let us see euclid who seems himself to be genius solves it in wt time . it is very easy ...

lim cos(pi√(n2 + n)) n→∞ ...

(1)Find Max. and Min. value of f(a) = (1 + sina) / ( 3 -cosa). (Using Coordinate-Geometry) ...

indefinite integration ∫ 0 = ??????????????? ...

I got this doubt while solving a problem- \sum_{r=2}^{n}{}\left|A_{1} A_{r}\right| = 2\sum_{r=2}^{n}{}sin(r-1)\frac{\Pi }{n} I got the answer as 2cot\frac{\Pi }{2n} The answer given is 4cosec\frac{\Pi }{n} Please help ...

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\ \boxed{2}\,\,\, find\,\,\, f^{100}\left ({e}^{x^{2}}\right ) Fn(x) denotes nth derivative ...

is 1st order nd higher degree diffrntial eqtns(eg Clairaut's eqn nd all) in jee syllabus???? ...

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Let P(x)=1+x+x2+x3+x4+x5 What is the remainder when P(x12) is divided by P(x)?? (A)0 (B)6 (C)1+x (D)1+x+x2+x3+x4 ...

If x, y are 2 independent variables, find rho(x,y) or R(x,y) ...

1. There are 2 vectors, one in the horizontal direction and other is inclined at an angle of 600 with the vertical.The resultant is in vertical direction and has magnitude P units.The 2 vectors are: a)P,2P b)P,P√3 c)2P,P√ ...

If a1 and a2 are 2 non-collinear unit vectors and if |a1 + a2| =√3, then the value of(a1 -a2).(2a1 +a2) is: a)2 b) 3/2 c) 1/2 d)1 Plz show with steps as i dont know how to start.. ...

Find the number of solutions of the equation | 1/|x| -1 | = x + sin(x) ...

why there is two focus in ellipse? ...

∫ x2 + 20 / (x sin x + 5 cosx )2 ...

why is the total number of real numbers equal to thenumber of numbers between 0 n 1?? ...

NOT A DOUBT! :D is it possible to have a QUADRATIC equation of the form (a+1)x2+2(a+1)x+(a-2)=0 to have 2 equal roots? is the same possible for the eqn (a-1)x2+2(a+1)x+(a+1)=0 if yes then find values for a in both cases and i ...

Q1)Solve: 4x - 3(x-1/2)= 3(x-1/2)-2(2x-1) Q2)If (1-p)is the root of quadratic equation x2+px+(1-p)=0.the the roots are?? Q3)Inthe proof of common roots it is given for eq1:aα2+bα+c=0 eq2:a'α2+b'α+c'=0 by cross multiplying ...

Q>The equation f(x)=0 has 8 distinct real solutions & f(4+x)=f(4-x) then sum of all 8 solutions of f(x)=0 are- a>12 b>32 c>16 d>15 Please describe the solution. ...

eliminate θ from the foll eqns.: cosecθ - sinθ = m secθ - cosθ=n i couldnt do this! :( ...

COSθ=COSα-COSβ/1-COSαCOSβ. THEN TAN2(θ/2).TAN2(β/2)=? PLEASE GIVE A DETAILED SOLUTION. ...

Tangent is drawn at any point(p,q) on the parabola y^2=4*a*x, Tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2, such that all the chords of contact pass through a fixed point ( r,s) then p,q,r,and s ...

1.In how many ways can 6 boys and 4 girls sit in a row so that no boy is between two girls? 2.How many five digits number divisible by 4 can be formed by digits 1,2,3,4 and 5 if the digits can be repeated in the same number? ...

Can anyone tell me what is the condition for a hyperbola and ellipse to interesect orthogonally ...

The sum and difference of two vectors are perpendicular to each other.What is the magnitude of individual vectors? ...