Algebra – Page 903

x-y-R-x-2-y-2-2-proof-3-xy-x-y-xy-x-y-2-2xy-

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 140129 by mathdanisur last updated on 04/May/21 $x; y \in R^{+}; x^{2} + y^{2} = 2$ $p r o o f : 3 - x y ⩾ (x + y) \sqrt{x y} + {(x - y)}^{2} ⩾ 2 x y$ Answered by mr W last updated on…

If-sum-of-n-arithmetic-means-between-two-number-is-20-if-last-mean-is-double-of-1st-mean-and-one-is-three-times-of-another-number-find-the-numbers-

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Question Number 74587 by lalitchand last updated on 27/Nov/19 $If sum of n arithmetic means between$ $two number is 20 . if last mean is double$ $of 1 st mean and one is three times of$ $another number . find the numbers .$ Terms of Service Privacy Policy…

Let-z-1-1-i-z-2-1-i-and-z-3-be-complex-numbers-such-that-z-1-z-2-and-z-3-form-an-equilateral-triangle-Then-z-3-is-equal-to-A-3-1-i-B-3-1-i-C-3

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Question Number 140113 by EnterUsername last updated on 04/May/21 $Let z_{1} = 1 + i, z_{2} = - 1 - i and z_{3} be complex numbers$ $such that z_{1}, z_{2} and z_{3} form an equilateral triangle .$ $Then z_{3} is equal to$ $(A) \sqrt{3} (1 + i) (B) \sqrt{3} (1 - i)$ $$\left(\mathrm{C}\right)\:\sqrt{\mathrm{3}}\left({i}−\mathrm{1}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:\sqrt{\mathrm{3}}\left(−\mathrm{1}−{i}\right)…

If-cos-cos-cos-0-sin-sin-sin-then-A-cos-2-cos-2-cos-2-0-B-sin-3-sin-3-sin-3-3sin-C-cos-3-cos-3-cos-3-3cos-D-sin-2-sin-2-sin-2-0-

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 140114 by EnterUsername last updated on 04/May/21 $If \cos α + \cos β + \cos γ = 0 = \sin α + \sin β + \sin γ, then$ $(A) \cos (2 α) + \cos (2 β) + \cos (2 γ) = 0$ $(B) \sin (3 α) + \sin (3 β) + \sin (3 γ) = 3 \sin (α + β + γ)$ $(C) \cos (3 α) + \cos (3 β) + \cos (3 γ) = 3 \cos (α + β + γ)$ $(D) \sin (2 α) + \sin (2 β) + \sin (2 γ) = 0$ Terms of Service Privacy Policy…

Let-z-1-cos-10pi-9-isin-10pi-9-Then-A-z-2cos-2pi-9-B-arg-z-8pi-9-C-z-2cos-4pi-9-D-arg-z-5pi-9-

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Question Number 140104 by EnterUsername last updated on 04/May/21 $Let z = 1 + \cos (10 π / 9) + i \sin (10 π / 9) . Then$ $(A) ∣ z ∣= 2 \cos (\frac{2 π}{9}) (B) \arg z = \frac{8 π}{9}$ $(C) ∣ z ∣= 2 \cos (\frac{4 π}{9}) (D) \arg z = \frac{5 π}{9}$ Commented by EnterUsername last updated on 04/May/21 $$\mathrm{One}\:\mathrm{or}\:\mathrm{more}\:\mathrm{answers}\:\mathrm{may}\:\mathrm{be}\:\mathrm{correct}. \…

If-z-1-z-2-and-z-3-are-the-vertices-of-an-equilateral-triangle-described-in-counterclock-sense-and-w-1-is-a-cube-root-of-unity-then-A-z-1-z-3-z-3-z-2-w-B-z-1-z-2-w-z-3-w-2-0-C-1-z

Tinku Tara June 3, 2023 Algebra 0 Comments

Question Number 140107 by EnterUsername last updated on 04/May/21 $If z_{1}, z_{2}, and z_{3} are the vertices of an equilateral triangle$ $described in counterclock sense and w \neq 1 is a cube root$ $of unity, then$ $(A) z_{1} - z_{3} = (z_{3} - z_{2}) w$ $$\left(\mathrm{B}\right)\:{z}_{\mathrm{1}}…

if-a-n-5a-n-1-6a-n-2-1-and-a-0-1-a-1-2-find-a-n-in-terms-of-n-

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Question Number 140102 by mr W last updated on 04/May/21 $i f a_{n} - 5 a_{n - 1} + 6 a_{n - 2} = 1 a n d$ $a_{0} = 1, a_{1} = 2 .$ $f i n d a_{n} i n t e r m s o f n .$ Commented by…

2cos-x-4-cos-x-4-

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Question Number 9029 by rzagung last updated on 15/Nov/16 $2 c o s (x + Π / 4) = c o s (x - Π / 4)$ Answered by Rasheed Soomro last updated on 15/Nov/16 $2 c o s (x + π / 4) = c o s (x - π / 4)$ $$\mathrm{cos}\left(\mathrm{x}+\pi/\mathrm{4}\right)+\mathrm{cos}\left(\mathrm{x}+\pi/\mathrm{4}\right)−\mathrm{cos}\left(\mathrm{x}−\pi/\mathrm{4}\right)=\mathrm{0}…

Question-9020

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Question Number 9020 by tawakalitu last updated on 14/Nov/16 Commented by RasheedSoomro last updated on 20/Nov/16 $By [\frac{{ax}^{2} + bx + c}{2 x + b}] do you mean bracket function ?$ Answered by Rasheed Soomro last…

Find-the-superimum-of-the-set-n-2-2-n-

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Question Number 74554 by shubham90412@gmail.com last updated on 26/Nov/19 $F i n d t h e s u p e r i m u m o f t h e s e t {\frac{n^{2}}{2^{n}}}$ Answered by MJS last updated on 26/Nov/19 $trying$ $${S}=\left\{\mathrm{0},\:\frac{\mathrm{1}}{\mathrm{2}},\:\mathrm{1},\:\frac{\mathrm{9}}{\mathrm{8}},\:\mathrm{1},\:\frac{\mathrm{25}}{\mathrm{32}},\:\frac{\mathrm{9}}{\mathrm{16}},\:…\right\} \…

Category: Algebra