Find the equation of the circle passing through the points A(2,1), B(0,5), C(-1,2) using LU decomposition method.

Q: - Show that the equation of the circle passing through (1, 1) and the points of intersection of the…

A: we need to show that equation of circle passing through (1,1) and point of intersection of given two…

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Find the Cross product of A= and B=

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Q: AP is perpendicular to PB, where A is the vertex of the parabola y^2 = 4x and P is on the parabola.…

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Q: Find the cross product a × b where a = (0, 3, 4) and b = (5,1,2). axb =

A: Step 1: Step 2: Step 3: Step 4:

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

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Q: ind the slope of the altitude from the vertex R to side ST of triangle RST with vertices R (-2,7),…

A: The given coordinates of the vertices are: R(-2,7),S(4,3) and T(2,0) We know, the slope m of line…

Q: Transform the equation -y^2+8y+x+12= 0 into its standard form

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Q: 10 -1] 27 -3 -6 -61.5 1 -21.5 5 2. 1.

A: Firstly write A=LU and find L and U . After that AX=B ⇒(LU)X=B ⇒L(UX)=B ⇒ LZ=B ; where UX=Z . Find…

Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: A circle with radius 2 contains the point (1,-4). Which of the following equations best describes…

A: The given point is 1, -4The radius is 2

Q: Write an equation (any form) for the quadratic graphed below 4 -5 4 3 -2 -1 2 3 4 -2 -3 -4- y =

A: Consider the given graph

Q: Find the perimeter of rectangle WXYZ with coordinates W(3,7), X (3,-1), Y(6,-1), and Z(6,7).

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Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…