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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

Finding $\left[\left(\frac{A^3-B^3}{B^3}\right)+\left(\frac{A^4+B^4}{B^4}\right)\right]$

Apr 21

Prove that $\lim_ {x\to \infty}\min(|x-\sqrt{m^2+2n^2}|)=0$

Mar 19

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

$(ax+by+cz)^2\le (a^2+b^2+c^2)(x^2+y^2+z^2)$ -Prove using Complex numbers

Apr 9

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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

Ambiguity textbook exercise involving $\sqrt{-144}$

Mar 24

How to do this question using complex numbers and without using differentiation?

Mar 25

Concurrency of Bisector Midpoints in Triangle

Mar 19

Question regarding proof of range of a cos(x) + b sin(x)

Mar 28

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