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Aditya Dev's user avatar
Aditya Dev's user avatar
Aditya Dev's user avatar
Aditya Dev
  • Member for 8 years, 11 months
  • Last seen this week
  • India
9 votes

Finding Maximum Area of a Rectangle in an Ellipse

6 votes
Accepted

Sum of real values of $x$ satisfying the equation $(x^2-5x+5)^{x^2+4x-60}=1$

5 votes

Examples of fallacies in arithmetic and/or algebra

4 votes

Prove ${n \choose k} = {n \choose k-1}\frac{n-k+1}{k}$

4 votes

$a,b,c,d,e$ are positive real numbers such that $a+b+c+d+e=8$ and $a^2+b^2+c^2+d^2+e^2=16$, find the range of $e$.

3 votes
Accepted

From a set of positive consecutive integers starting with $1$, one number is erased and the AM of the remaining numbers is $\frac{602}{17}$

3 votes
Accepted

Product of limits of two sequences

3 votes
Accepted

Show that two planes are parallel and find the distance between them

3 votes
Accepted

Given a right angled triangle and side lengths , finding locus of one of the point?

3 votes
Accepted

Solve $\frac {2 \tan x}{1-\tan^2x} = \sin^22x$

2 votes

Integral of $\sin(\pi x) \cos(n\pi x)$ and $\sin(\pi x) \sin(n\pi x)$

2 votes

Integrate $\int \frac{x\cos x}{\sin^2x}dx$

1 vote

Four fair dice $D_1,D_2,D_3,D_4$ are rolled simultaneously . The probability that $D_4$ shows a number appearing on one of $D_1,D_2,D_3$ is

1 vote
Accepted

Given two intersecting circles finding the coordinates of intersection of common tangent?

1 vote

How to solve $\sin x\cos x-x=0$

1 vote

Finding the eccentricity/focus/directrix of ellipses and hyperbolas under some rotation

1 vote

find the area between $f(x)=\frac 1x$ and the $x$-axis for $1\le x\le 10$

1 vote
Accepted

Estimation the integration of $\frac{x}{\sin (x)} $

1 vote

10 passengers board three buses randomly which was initially empty. The probability that no bus is empty

0 votes
Accepted

Where am I going wrong in this ODE?

0 votes

Given known and and unknown line equation and maximising area of triangle condition.

0 votes

Prove that sum of AP is greater than sum of GP if first and last terms of both series are equal, all terms are positive and number of terms is equal

0 votes
Accepted

Domain of ${(x,y) | y = \sqrt{x^2 - 4}}$

0 votes

Increasing Interval of a Function

0 votes

Solve trigonometric inequality $ \sin x+2 \cos x<2$

0 votes
Accepted

How to solve for $n: n \le 2^n a$?

0 votes

How can we prove this property