SpletQ: A- Find all points on the elliptic curve y² = x³ + x + 6 over Z7, choose one of these points as P to… A: To find all points on the elliptic curve, y2 = x3 + x + 6 over Z7 , we can substitute each value of… Q: Describe and sketch the following surfaces z = f (x, y): (a) * (c) 2= /1-x² - y² z = 6 - 2x - 3y (b)… The lines x=ay–1 =z–2 and x= 3y–2 =bz–2, (ab ≠0) are coplanar, if A a =2,b=2 B a =2,b=3 C a =1,b∈R−{0} D b=1,a∈R−{0} Solution The correct option is D b= 1,a ∈R−{0} Lines are x =ay–1 =z–2 ∴ x 1 = y− 1 a 1 a = z−2 1 ...(i) and x=3y–2 =bz–2 ∴ x 1 = y− 2 3 1 3 = z− 2 b 1 b ...(ii) Since, lines are co-planar.
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Splet14. apr. 2024 · 上海魔盾信息科技有限公司 - Maldun Security SpletStraight Line and Circle WA - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Select the correct alternative : (Only one is correct) Q.1 If the lines x + y + 1 = 0 ; 4x + 3y + 4 = 0 and x + αy + β = 0, where α2 + β2 = 2, are concurrent then (A) α = 1, β = – 1 (B) α = 1, β = ± 1 (C) α = – 1, β = ± 1 (D) α = ± 1, β = 1 Q.2 The axes are translated so ... golang consul watch example
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Splet04. avg. 2024 · The lines x = ay – 1 = z – 2 and x = 3y – 2 = bz – 2, (ab ≠ 0) are coplanar, if : (1) b = 1, a ∈ R - {0} (2) a = 1, b ∈ R - {0} asked Aug 4, 2024 in Mathematics by Gargi01 ( 50.9k points) SpletRearrange we have 3y^2=z^2-x^2=(z-x)(z+x) this means 3 (z-x)(z+x) therefore 3 z-x or 3 z+x. In fact 3 divides only one of them. For the sake of contradiction suppose 3 divides both z-x and z+x. then 3 2z and 3 2x. then 3 gcd(2z,2x)=2gcd(z,x) since gcd(3,2)=1. therefore 3 gcd(z,x) then 3 z, 3 x. indicating 9 z^2, 9 x^2. then 9 3y^2. then 3 y^2 ... SpletRewrite in slope-intercept form. Tap for more steps... y = 1 3x y = 1 3 x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 1 3 1 3. y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. golang content-type