In a circle whose equation is (x – 1) +y+3) =9, the coordinates of the center and length of its radius are 1) (1,-3) and r 81 2) (-1,3) and r 81 3) (1,-3) andr=D3 4) (-1,3) andr= 3

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

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Q: If the circle x2+y2+ax+by-12=0 has the centre  at (2,3) then find a , b and radius

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Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: How find the pistance from fant (1,3) and Line y -4

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Q: What is the equation of a circle that has center located at (- 2, 0) and passes through the point…

A: Solution: The objective is to find the equation of a circle that has a centre located at (- 2, 0)…

Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

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Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4)

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Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: 3. Prove that points (5, 1), (2, -2), and (-1, –3) lie on a circle centred at (-2, 5). What is the…

A: Please rate and feel free to ask any query about any part.

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

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Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: The circle with radius 4 and centered at (-2, 3) has what equation?

A: Given data, Radius=4 A(-2, 3) The standard equation of a circle with center (h, k) andradius, r, is

Q: Find the distance between the line 3x − y = 0 and the point (2, −4).

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Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: Find an equation for the set of all points equidistant from the point (0, 0, 2) and the xy-plane.

A: Let any such point is given by (x,y,z)(x,y,z) is z units away from the xy plane.

Q: The point that is symmetric with respect to the y-axis to the point ( - 2, 5) is__________

A: It is known that the graph of y=fx is symmetric with respect to y-axis means f-x=fx=y.

Q: Find the distance from the point (4, 3, 0) to the z-axis

A: To determine: Find the distance from the point (4, 3, 0) to the z-axis

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Use the result in Exercise 26 to find the equation of the circle that has center (0, 0) and contains…

A: Given Center of circle is at (0,0)   and contains point (3,4)   To evaluate, equation of circle

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: 5. Parallelogram RSTU with vertices R(-2, 3), S(2, 4), T(2,-3), U(-2,-4) over the line y = x ty 6.…

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Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

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Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: Find the distance between the plances 3x + y- 4z = 2 and 3x + y - 4z = 24

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Q: The coordinates of the point in the first quadrant where the line with equation y = 1.5z + 4…

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Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: If a circle of radius 2 is made to roll along the x-axis, what isan equation for the path of the…

A: Draw multiple circles with the radius 2 such that their lowest point touches the x-axis, then mark…

Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

A: Given that: The point is: (3, -1, 0) and equation of line is:         x+42=z-3, y=1

Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

Q: Find the distance between the plances 3x + y - 4z = 2 and 3x + y – 4z = 24

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Q: If point A is one unit to the right of Y-axis and two units above the X-axis while point B is two…

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Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

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Q: The distance between the points (4, 3) and (2, y) is 8 What is/are the coordinate(s) of y?

A: as per the bartleby guidelines ..I can only do first question.thank you

Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 &amp; B1, 0, 1.

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: i. Prove that circle A with center (0, 4) and radius 4 is similar to circle B with center (-2, -7)…

A: Graph both the circles on desmos graph calculator. Then if they get mapped to each other then they…

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12