Recently Active Mathematics Questions

find all tangents to the curve y=cos(x+y), -2∩≤x≤2∩ that are parallel to the line x+2y=0 ...

Given : 2/1!9! + 2/3!7! + 1/5!5! = 2m/n! Find the orthocentre of the Δ with sides x-y+1=0, x+y+3=0 and 2x+5y-2=0 in terms of m and n. Very Good Question....Try it... :-) ...

find the equation of the normal to curve y=(1+x)y + Sin-1(sin2x) at x=0 ...

if x is increasing at the rate of 2cm/s at the instant when x=3cm and y=1cm ,at what rate y must be changing in order that the quantity (2xy-3x^2y)shall neither be increasing nor decreasing .... if S={(a,b)εR*R:x=a,y=b,(2xy- ...

Let a and b be rel numbers such that sin a+sin b=(√2)/2 and cos a+cos b =(√6)/2 then sin(a+b) will be ???? ...

an unbiased die,with faces numbered 1,2,3,4,5,6 is thrown n times and list of n numbers showing up is noted.what is the probability that among the numbers 1,2,3,4,5,6 only three numbers appear in the list ...

Set of all points where x2{x} is differentiable? Plz post the solution.. ...

If ellipse has major axis length 2 2 unit and the angle between the lines joining the focus to the minor axis is 90°,then calculate the length of semi latus rectum ...

Ques1) The value of lim x→0 { cos (m2+n2) x } mn / (m2+n2)x (a) e mn (m2+n2) (b) e- mn (m2+n2) (c) e- mn/2 (m2+n2) (d) e mn/2 (m2+n2) Ques2) lim x→0 [sin -1 x / tan -1 x ] , whre [.] denotes the greates integer function ( ...

If lzl=1 ,prove that the points represented by \sqrt{\frac{1+z}{1-z}} lie on one or the other of two fixed perpendicular lines ...

(1) Min. value of (x2+y2)+ (x2+(y-1)2) = ...

f(x) = Sin x + cos( 4-a2 x).The fundamental frequency of f(x) is 4Ï€ ,then value of a is -- A. 15 /2 B. - 15 /2 C. 7 /2 D.- 7 /2 ...

*Image* *Image* *Image* *Image* *Image* ...

x\frac{dy}{dx}+\left({\frac{dy}{dx}}\right)^2= y A good one.. (I couldnt solve for the first few minutes before i was tempted to see the solution :D.. But now i wish i had not seen the solution and tried it myself :P ...

A good differential equation... (1+x\sqrt{x^2+y^2})dx+(-1+\sqrt{x^2+y^2})ydy = 0 ...

Simple one a) (x+y)(dx-dy)=dx+dy Simple one b) x\left({\frac{dy}{dx}}\right)^{2}+(y-x)\frac{dy}{dx}-y = 0 Copied Questions Series but good ones for JEE :P :D ...

Q 1) (2x^{2}+3y^{2}-7)xdx-(3x^{2}+2y^{2}-8)ydy = 0 Copied Questions Series but good ones for JEE :P :D ...

One of the bisectors of the angle between lines a(x-1)2+2h(x-1)(y-1)+b(y-2)2=0 is x+2y-5=0 The other bisector is ???? ...

If f(x) = \frac{1}{3}[f(x) + \frac{5}{f(x+2)}] then \lim_{x\rightarrow \infty }f(x) = ? edit: f(x) is not a constant function and f(x) > 0 in its domain ...

Prove that \left|\alpha +\sqrt {\alpha ^2 -\beta ^2} \right|+\left|\alpha -\sqrt {\alpha ^2 -\beta ^2} \right|=\left|\alpha +\beta \right|+\left|\alpha -\beta \right| where α,β are complex numbers ...

If z=i log(2- 3 ),then find cosz . ...

If θ1 ε[0,π/6] ,i=1,2,3,4,5 and sinθ1 z4+sinθ2 z3+sinθ3 z2 +sinθ4 z +sinθ5=2,then prove that lzl<1/2 ...

SOLVE DEM OR GIVE HINT 1. prove that the family of curves *Image* is SELF orthogonal ...

If p,q,r,s are probablities of raining at 4 diff places at some fixed moment.then find max and min value of 3(p^2+q^2+r^2+s^2)-2(p+q+r+s)+4 ...

5.find the curve for which the portion of tangent of the curve intercepted between the coordinate axis is of constant length. 6.find the family of curves which are such that the area of rectangle constructed on the absicca of ...

if a< b< c< d then(x-a)(x-c)+2(x-b)(x-d)=0then the roots are a)real and imaginary b)real and unequal c)imaginary d)rational The question is a good one for beginners.. so try it :) *Asked by saheli... ...

p(x) is a polynomial with integer coefficients. For some positive integer c, none of p(1), p(2), ... , p(c) are divisible by c. Prove that p(b) is not zero for any integer b. (bhatt sir stay away) ...

Let f(n) be the least number of times you have to hit the key in the calculator to get a number less than 2 starting from n, n being a natural number. e.g. f(2) =1and f(5) =2. For how many natural numbers m such that 1<m&l ...

Without calculating, which is greater? \frac{361254001}{722508003} or \frac{361254002}{722508005} If I remember correctly, this is one of the first things i learnt from Hall & Knight Edit: Hint: if A/B< C/D, what can you s ...

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