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Mathematics
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Skdmg
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Mathematics and Physics Enthusiast.

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8
Find the set of values of $\alpha$ so that $f(x)=\dfrac{\alpha x^2+6x-8}{\alpha+6x-8x^2}$ is one one.
Apr 13
6
Finding $\left[\left(\frac{A^3-B^3}{B^3}\right)+\left(\frac{A^4+B^4}{B^4}\right)\right]$
Apr 21
5
Prove that $\lim_ {x\to \infty}\min(|x-\sqrt{m^2+2n^2}|)=0$
Mar 19
3
A number $x$ containing $1999$ digits and is divisible by $9$; if we add all digits of $x$ we get $y$ and as same adding digits of $y$ we get $z$
Mar 17
3
$(ax+by+cz)^2\le (a^2+b^2+c^2)(x^2+y^2+z^2)$ -Prove using Complex numbers
Apr 9
3
Given that, $|z_1 + z_2| = 20 \quad \text{and} \quad |z_1^2 + z_2^2| = 16 $ Evaluate difference of minimum and maximum value of$|z_1^3 + z_2^3|$
Apr 11
2
The Area bounded by $y=e^x, 2y+2k-2kx-1-e^2=0$ is minimum for $ k=k_1$
Mar 14
2
Finding value of $I=\int^{\pi\over2}_0 \frac{\sin(nx)}{\sin{x}} \ \mathrm{d}x$
Mar 17
2
Ambiguity textbook exercise involving $\sqrt{-144}$
Mar 24
1
How to find the number of possible planes equidistant from $5$ points $3$ of which are collinear.
Mar 21