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SarGe
  • Member for 2 years, 3 months
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7 votes
Accepted

Important Trigonometric Angles 's Values To Remember For IIT-JEE?

7 votes

Proving the integral inequality $2≤\int_{-1}^1 \sqrt{1+x^6} \,dx ≤ 2\sqrt{2} $

6 votes
Accepted

Computing $\int_0^1 \frac{\arcsin \sqrt x}{x^2-x+1} dx$

5 votes
Accepted

If $\alpha$ is a root in $Z^5+Z^3+Z+3=0$, then find $\alpha$.

4 votes
Accepted

$(a+1)(b+1)(c+1)\leq4$ for triangle sides $a,b,c$ with $ab+bc+ac=1$

4 votes
Accepted

Prove a combinatorics statement

3 votes
Accepted

Let $x$ and $y$ be positive real numbers such that $4x + 9y = 60.$ Find the maximum value of $xy.$

3 votes
Accepted

From the given definition of function $f(n)$, find $f^{-1}(-100)$

3 votes

Difference between distances of two points from a plane

3 votes

Find $\min \{ x+y: x+2y \ge 5, 4x+y\ge6\}$

3 votes
Accepted

How many roots does $(x+1)\cos x = x\sin x$ have in $(-2\pi,2\pi)$?

3 votes
Accepted

Proving that two segments have same length.

3 votes

Knowing that $ \sin(2x) \equiv 2 \sin(x)\cos(x) $ show that $\cos(2x) \equiv \cos^2x - \sin^2x $

3 votes
Accepted

Find $a$ if $\lim_{x\to a} \frac{a^x-x^a}{x^x-a^a}=-1$

3 votes

CGMO 2020: Prove that $X, P, Q, Y$ are concyclic.

3 votes

Parallelepiped and shortest path it can take to the opposite vertex

3 votes

Calculate the distance of any point on the arc from the center of circle

2 votes

Simplifying $\frac{b^5-a^5-5b^3a^2+5b^2a^3}{b^4+a^4-2a^2b^2}$ into $\frac{b^3-a^3-2a^2b+2ab^2}{a^2+b^2+2ab}$

2 votes

Find Constant $A $ and $B$

2 votes

How to find range of $\left[\frac{[x]}{x}\right]$

2 votes
Accepted

Find ratio in which F divides AB

2 votes

Why don't parabolas have asymptotes?

2 votes

Find the functions for which the area of the triangle made by tangent at a point is independent of the point

2 votes
Accepted

Find the number or integral values for which the inequality $3-|x-a|>x^2$ is satisfied by at least one negative $x$

2 votes

Finding the center of the dilation from circle $x^2-6x+y^2-8y=-24$ to circle $x^2-14x+y^2-4y=-44$

2 votes
Accepted

Finding the eccentricity of the conic $(3x + 9)^2 + (3y – 12)^2 – (2x – y)^2 = 6y – 12x + 9$

2 votes

How to solve: $(x + y^2)y’ = y$

2 votes
Accepted

Finding diameter of a circle

2 votes

Evaluate $P(1)/P(-1)$

2 votes

$2a^2 – bc – 9a + 10 = 0$ then the range of $‘a’$ is?

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