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Coordinate GeometryQuestion and Answers: Page 1

Question Number 209398 Answers: 1 Comments: 0

Is it possible to determine the points A(x_1 , y_1 ) and B(x_2 , y_2 ) knowing that the distance between them is 2(√(29))?

$$\mathrm{Is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{determine}\:\mathrm{the}\:\mathrm{points}\:\mathrm{A}\left(\mathrm{x}_{\mathrm{1}} ,\:\mathrm{y}_{\mathrm{1}} \right)\:\mathrm{and} \\ $$$$\mathrm{B}\left(\mathrm{x}_{\mathrm{2}} ,\:\mathrm{y}_{\mathrm{2}} \right)\:\mathrm{knowing}\:\mathrm{that}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{them}\:\mathrm{is} \\ $$$$\mathrm{2}\sqrt{\mathrm{29}}? \\ $$

Question Number 209389 Answers: 0 Comments: 1

Cercle C de rayon R=5 petits cercles de meme rayon r Determiner Surface (ABCDEF)?

$$\mathrm{Cercle}\:\mathrm{C}\:\:\:\mathrm{de}\:\mathrm{rayon}\:\boldsymbol{\mathrm{R}}=\mathrm{5} \\ $$$$\mathrm{petits}\:\mathrm{cercles}\:\mathrm{de}\:\mathrm{meme}\:\mathrm{rayon}\:\boldsymbol{\mathrm{r}} \\ $$$$\mathrm{Determiner}\:\mathrm{Surface}\:\left(\boldsymbol{\mathrm{ABCDEF}}\right)? \\ $$

Question Number 209307 Answers: 2 Comments: 3

Question Number 209301 Answers: 0 Comments: 0

Question Number 209118 Answers: 0 Comments: 0

Question Number 208756 Answers: 0 Comments: 0

Question Number 208619 Answers: 1 Comments: 0

If O is the othocentre of a ∆ and

If O is the othocentre of a ∆ and <AOC=78°.The measure of <ABC is?

Question Number 208554 Answers: 2 Comments: 0

Question Number 208447 Answers: 0 Comments: 0

$$\:\:\underbrace{\:} \\ $$

Question Number 208327 Answers: 1 Comments: 0

Question Number 208242 Answers: 1 Comments: 1

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Question Number 206922 Answers: 1 Comments: 0

solve for x, y, z ∈R^+ x^2 +y^2 −2xy cos γ=c^2 y^2 +z^2 −2yz cos α=a^2 z^2 +x^2 −2zx cos β=b^2 with α+β+γ=360° example: a=12, b=8, c=10 α=120°, β=90°, γ=150°

$${solve}\:{for}\:{x},\:{y},\:{z}\:\in{R}^{+} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}\:\mathrm{cos}\:\gamma={c}^{\mathrm{2}} \\ $$$${y}^{\mathrm{2}} +{z}^{\mathrm{2}} −\mathrm{2}{yz}\:\mathrm{cos}\:\alpha={a}^{\mathrm{2}} \\ $$$${z}^{\mathrm{2}} +{x}^{\mathrm{2}} −\mathrm{2}{zx}\:\mathrm{cos}\:\beta={b}^{\mathrm{2}} \\ $$$${with}\:\alpha+\beta+\gamma=\mathrm{360}° \\ $$$$ \\ $$$${example}:\: \\ $$$${a}=\mathrm{12},\:{b}=\mathrm{8},\:{c}=\mathrm{10} \\ $$$$\alpha=\mathrm{120}°,\:\beta=\mathrm{90}°,\:\gamma=\mathrm{150}° \\ $$

Question Number 206643 Answers: 2 Comments: 0

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Question Number 204062 Answers: 4 Comments: 0

I. A(−5, −1); B(3, −5); C(5, 2) ar(△ABC) = ? II. A(5, 3); B(2, 5); C(−5, 3); D(−4, −3) ar(□ABCD) = ? shortest solution

$$\mathrm{I}.\:\:\:\:\:\:\:\mathrm{A}\left(−\mathrm{5},\:−\mathrm{1}\right);\:\mathrm{B}\left(\mathrm{3},\:−\mathrm{5}\right);\:\mathrm{C}\left(\mathrm{5},\:\mathrm{2}\right)\:\:\:\:\:\:{ar}\left(\bigtriangleup\mathrm{ABC}\right)\:=\:? \\ $$$$\mathrm{II}.\:\:\:\:\:\mathrm{A}\left(\mathrm{5},\:\mathrm{3}\right);\:\mathrm{B}\left(\mathrm{2},\:\mathrm{5}\right);\:\mathrm{C}\left(−\mathrm{5},\:\mathrm{3}\right);\:\mathrm{D}\left(−\mathrm{4},\:−\mathrm{3}\right)\:\:\:\:\:\:\:{ar}\left(\Box\mathrm{ABCD}\right)\:=\:? \\ $$$$\mathrm{shortest}\:\mathrm{solution}\: \\ $$

Question Number 203465 Answers: 2 Comments: 0

Focus and vertex of a parabola are at (3, 4) and (0,0). Find the equation of the directrix.

$$\mathrm{Focus}\:\mathrm{and}\:\mathrm{vertex}\:\mathrm{of}\:\mathrm{a}\:\mathrm{parabola}\:\mathrm{are}\:\mathrm{at}\:\left(\mathrm{3},\:\mathrm{4}\right)\:\mathrm{and}\:\left(\mathrm{0},\mathrm{0}\right). \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{directrix}. \\ $$

Question Number 203159 Answers: 0 Comments: 0

Q202938 the value of x is 15 (Voir reponse develope )

$$\mathrm{Q202938} \\ $$$$\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{is}}\:\mathrm{15}\: \\ $$$$\left(\boldsymbol{{Voir}}\:\boldsymbol{{reponse}}\:\boldsymbol{{develope}}\:\right) \\ $$

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