z-(1+j4) z-(2+j3) (x-3)+(y-5)=5 into a straight line through the origin in the w-plane. Problem 2/ Show that the transformation equation w=: where zx+jy, transforms the circle

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: sketch y+3x =9 in two dimensional and three dimensional space

A: sketch y+3x =9 in two dimensional and three dimensional space

Q: Find the equation of the circle which is touched by y = x has on the positive direction of the x -…

A: Since the required circle has its center on the x-axis,let the coordinates of the center be…

Q: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

A: Using general equation of circle

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point

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Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

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Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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Q: Find the equation of the circle that passes through the intersections of the circles x^2 + y^2 -8x -…

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Q: 9. The endpoints of the latus rectum of the parabola (y + 2)2 A. (-1,0) and (-1,–4) B. (1,0) and (1,…

A: A lotuc rectum of a parabola isbthe chord that passes through the focus,is perpendicular to the…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

A:

Q: Why does the graph of x2 + y2=4x has it's center at point (2,0)? and not (0,0). And how to try to…

A: Here equation we have given is of a circle : x2+y2=4x.

Q: The graphs of the equations (x - 3)2 + (y - 5)2 = 10 and x2 + (y + 1)2 = 25 intersect %3D at

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Q: Let there be two parabolas y^2 = 4ax and y^2 = -4bx (where a not equal to  b and a, b > 0). Then…

A: Let us consider that the line parallel to the common axis be y=h.then the co ordinates of A and B…

Q: the general equation От а ircle with center (4,-1) and a rac of 7 units * ) x^2+y^2-5x-5y-31=0 )…

A:

Q: (i) Find the equation of the circle with radius 5 whose center lies on the x - axis and passes…

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Q: y=-2(x + 5)² y = -2(x - 5)² y = 2(x - 5)² is the equation of the parabola with vertex (0,4) and…

A: Topic:- geometry and parabola