The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a) (y-2)²+(2-1)² = 1 b) x² = 11 c) x = 1 d) (z-y)²+(y-1)² = -1

Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

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Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

A: The point a-1, a+1 lies in the larger segment of the circle x2+y2-x-y-6=0 made by the chord whose…

Q: i æ² + y? = 30 and (x + 1)? + (y – 1)² = 6 | ii (æ + 3)? + (y – 2)² = 9 and (x + 7)? + (y + 1)? = 4…

A: (i) The given circle is: x2+y2=30        ....1x+12+y-12=6       ....2

Q: ) Calculate (8(x² - y)i + 8(y² + x)j³) · dř if: (a) C is the circle (x − 4)² + (y − 8)² = 25…

A: (a) We have to calculate  where .in parametric form Now  and Now

Q: The midpoint of the segment AB with A(-1,5) and B(3,7) belongs to the line of equation: a) 2x+y=0 b)…

A: given A=(-1,5) and B=(3,7)

Q: Find the locus of the center of the circle touching the circle x\power{2} + y\power{2} − 4y - 2x = 4…

A: Let r and R be the radii of the required and the given circle,respectively.Let the center be…

Q: Consider the circle with the equation (x+2)^2+(y−1)^2=25 Its center is (           ,         )  and…

A: GIven equation:- x+22+y-12=25

Q: Compute (47 SK) - dA, where s is the square of side length 3 perpendicular to the e-axis, centered…

A: According to question given that∫S(4i→+5k→).dA→Where S is the square of  the side length  3…

Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

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Q: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the…

A: The answer is given below:

Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

A: 1. In analytic geometry, a line and a sphere can intersect in three ways: No intersection at all…

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

A: (1)    Given that the equation of the circle is   x2 + y2 - x - y - 6 = 0                Given point…

Q: Q3b): Compute zdz over several contours (i) The line from 1 to 1+ i. (ii) The circle of radius 1…

A: let fz=1z.  Since f(z) has an antiderivative in an open region D, then the line integral over given…

Q: Prove that the locus of the point of intersection of two tangents to the parabola y? = 4ax, which…

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Q: y -1 Q2) L, =Xx2 = -1 - 2 Fand equation of plane Canternng them

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Q: Q4. equation of circle x² + y² - 6x-2y +6 = 0 2 )2 (x-3)² + (y-13² = 4 circle with center line y =…

A: Note: As per your request, the solution is in digital format is given below.   Q4.  Equation of…

Q: Please

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Q: Derive a cubic spline with natural boundary condition using the following points: (−2, 1), (0,0),…

A: Sol:-] To derive a cubic spline with natural boundary condition, we need to find the cubic…

Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

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Q: Integrate counterclockwise dz, C the circle with z2 + 16z + 63 center –7 and radius 2. dz z² + 16z +…

A: Use Cauchy Residue theorem to evaluate this integral.

Q: Find equation of Plane teter mined by the Lines Li. X = t-29 y = 2t+3 Z= +4 and Lz! X…

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Q: Two circles have equations of x2 + y2 – 4x – 4y + 4 = 0 and x2 + y2 – 4x + 8y + 4 = 0. Compute the…

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Q: EXERCISES #1 Identify the center and radius of the circle with the given equation in each item. 1)…

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Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

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