Algebra – Page 737

Compare-x-sin-165-y-cos-165-z-tan-165-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 150603 by mathdanisur last updated on 13/Aug/21 $Compare :$ $x = \sin (165 °)$ $y = \cos (165 °)$ $z = \tan (165 °)$ Answered by ajfour last updated on 13/Aug/21…

lim-x-0-x-x-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 150599 by mathdanisur last updated on 13/Aug/21 $\lim_{x \to 0} x^{x} = ?$ Commented by n0y0n last updated on 13/Aug/21 $limit {doesn}^{'} t exist$ $$ \…

lim-x-0-0-pi-cosx-2-dx-x-Help-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 150585 by bekzodjumayev last updated on 13/Aug/21 $\lim_{x \to 0} \frac{\underset{0}{\int^{π}} {c o s x}^{2} d x}{x} = ? ?$ $H e l p$ Commented by mr W last updated on…

Prove-that-three-points-z-1-z-2-z-3-are-collinear-if-determinant-z-1-z-1-1-z-2-z-2-1-z-3-z-3-1-0-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 19507 by Tinkutara last updated on 12/Aug/17 $Prove that three points z_{1}, z_{2}, z_{3} are$ $$\mathrm{collinear}\:\mathrm{if}\: $| \begin{matrix} z_{1} & {\bar{z}}_{1} & 1 \\ z_{2} & {\bar{z}}_{2} & 1 \\ z_{3} & {\bar{z}}_{3} & 1 \end{matrix} |$ =\:\mathrm{0} \…

Prove-that-the-length-of-perpendicular-drawn-from-the-point-z-0-to-the-straight-line-z-z-c-0-is-p-z-0-z-0-c-2-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 19508 by Tinkutara last updated on 12/Aug/17 $Prove that the length of perpendicular$ $drawn from the point z_{0} to the straight$ $line \bar{α} z + α \bar{z} + c = 0 is$ $p = ∣ \frac{\bar{α} z_{0} + α {\bar{z}}_{0} + c}{2 ∣ α ∣} ∣ .$ …

Prove-that-two-straight-lines-with-complex-slopes-1-and-2-are-parallel-and-perpendicular-according-as-1-2-and-1-2-0-Hence-if-the-straight-lines-z-z-c-0-and-z

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 19505 by Tinkutara last updated on 12/Aug/17 $Prove that two straight lines with$ $complex slopes μ_{1} and μ_{2} are parallel$ $and perpendicular according as μ_{1} = μ_{2}$ $and μ_{1} + μ_{2} = 0 . Hence if the straight$ $$\mathrm{lines}\:\bar {\alpha}{z}\:+\:\alpha\bar {{z}}\:+\:{c}\:=\:\mathrm{0}\:\mathrm{and}\:\bar…

Prove-that-the-equation-of-the-line-joining-the-points-z-1-and-z-2-can-be-put-in-the-form-z-tz-1-1-t-z-2-where-t-is-a-parameter-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 19506 by Tinkutara last updated on 12/Aug/17 $Prove that the equation of the line$ $joining the points z_{1} and z_{2} can be put$ $in the form z = {t z}_{1} + (1 - t) z_{2}, where$ $t is a parameter .$ Answered by ajfour…

Find-the-last-digit-of-2-253-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 19499 by tawa tawa last updated on 12/Aug/17 $Find the last digit of 2^{253}$ Answered by Tinkutara last updated on 12/Aug/17 $Cyclicity of 2 = 4 (2, 4, 8, 6)$ $253 \equiv 1 (\mod 4)$ $$\therefore\:\mathrm{2}^{\mathrm{253}}…

Find-A-and-prove-that-2021-A-if-abcd-A-a-d-1-c-b-c-a-b-b-c-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 150571 by mathdanisur last updated on 13/Aug/21 $Find A and prove that 2021 \in A if$ $\overset{―}{abcd} \in A, \frac{a}{d + 1} = \frac{c - b}{c} = \frac{a + b}{b + c}$ Answered by Rasheed.Sindhi last updated on 15/Aug/21 $$\overline {\mathrm{abcd}}\in\boldsymbol{\mathrm{A}};\:\:\frac{\mathrm{a}}{\mathrm{d}\:+\:\mathrm{1}}\:=\:\frac{\mathrm{c}\:-\:\mathrm{b}}{\mathrm{c}}\:=\:\frac{\mathrm{a}\:+\:\mathrm{b}}{\mathrm{b}\:+\:\mathrm{c}};\mathrm{A}=? \…

Solve-for-natural-numbers-x-3-y-4-2022-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 150559 by mathdanisur last updated on 13/Aug/21 $Solve for natural numbers :$ $x^{3} + y^{4} = 2022$ Answered by MJS_new last updated on 13/Aug/21 $$\mathrm{if}\:{x}=\mathrm{0}:\:{y}^{\mathrm{4}} =\mathrm{2022}\:\Rightarrow\:{y}\approx\mathrm{6}.\mathrm{7}…

Category: Algebra