If the point (3, 8) was rotated by 180 about the origin its image coordinates would be (1)(-3,8) 3)(-8,-3) (2)(8,3) (4)(-3,-8)

Q: Find a parametric equation of the line passing through the point (3,-1,-3) and perpendicular to the…

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

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Q: If the point (2,5) is shifted 3 units to the right and 2 units down,what are its new coordinates?

A: To find the new coordinates of point if the point (2,5) is shifted 3 units to the right and 2 units…

Q: What is the image of point (-3, reflection in the origin? 1) (3,1) 2) (-3, 1) 3) (1,3) 4) (-1,-3)

A: Given query is to find the image of point (-3,-1) when reflect it about origin.

Q: ɔ determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (3, 3, 4) ie in tne same plane.

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Q: What is the image of the point (2,-3) after the transformationr y-axis 1) (2,3) 2) (-2,-3) 3) (-2,3)…

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Q: Determine the coordinates of image point after a rotation of 25 degrees about (0,0) from point (4,0)

A: Use rotation matrix

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…

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Q: Suppose point A(9,2) was rotated clockwise 90 degrees around the origin.  What is the x coordinate…

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Q: Find the coordinates of the point 7 of the way from A to B. of the way from A to B are The…

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Q: What is the image of the point (4, -4) after the reflection over the line y = x-2?

A: we have to find the image under given line

Q: Verify the points (1,5) ,(2,3) and (-2,-1) are collinear or not

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Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Consider the given points.P = (0, 0, 0)Q = (2, 2, 0)R = (0, 1, 2)

Q: are the new coordinates of A(-5,4) B(-1,3) and C(-4,1) when rotated 75 degrees counterclockwis

A: To find the new coordinates of A(-5,4), B(-1,3) and C(-4,1) when rotated 75° counter clockwise.

Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

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Q: Find the parametric equations for the line segment from (5,-1,1) to (5,4,3)

A: The given points are 5, -1, 1 and 5, 4, 3. The parametric equation of a line segment joining the…

Q: What are the new coordinates of point M (-8, 3) after a rotation 180° counterclockwise? • (8, -3) •…

A: We find new point after 180 degree rotation counterclockwise.

Q: Determine the parametric and symmetric equation of line passing through the points (1, –3,2), (5,…

A: To find the parametric and symmetric equation of line passing through the points (1,-3,2) ,(5,-2,8)…

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

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Q: As part of video game, the point (1,6) is rotated counterclockwise about the origin through an angle…

A: If a point (x,y) and angle is given and we have to find the new coordinates (X,Y)  after rotating it…

Q: What is the image of the point (3,-6) after a rotation of 90° counterclockwise about the origin?

A: Consider the given point 3,-6

Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: .A line I through the point (5,3,-6) has direction co quations of the line.

A: Introduction: We know that the vector equation of any line has the form r=r0+tv, where v is the…

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: Find the new coordinates of the point (2, 4) if the coordinate axes are rotated through an angle of…

A: By rotation through an  angle θ the new cordinates x',y'of the coordinate x,y…

Q: 10) If a point M., located at (3, -2), is rotated clockwise 90 about the origin, what are the…

A: When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image…

Q: 3. If point (-3, 5) is rotated counterclockwise 180 about the origin, its image will be point 1) (5,…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: What are the parametric equations for the line segment from (3,2) to (-10,5)?

A: To determine the parametric equation of a line segment.

Q: What is the image of the point (−5,−4)(−5,−4)after a rotation of 180∘180∘ counterclockwise about the…

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Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

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Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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Q: What is the image of the point (-9,3)(−9,3) after a rotation of 180∘ counterclockwise

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Q: Find the image of the point (-4, 2) after its rotated by 30 degrees counterclockwise then rotated by…

A: We will find out the required image of point.

Q: What is the image of the point (6,-3) after a rotation of 180° counterclockwise about the origin?

A: Our Aim is to tell the image of the point (-6,-3) after a rotation of 180°counterclockwise about the…

Q: As part of video game, the point (2,1) is rotated counterclockwise about the origin through an angle…

A: The coordinates of the given point are (2,1). The relation between cartesian coordiantes x, y and…

Q: What is the image of the point (-7,5) after a rotation of 180° counterclockwise about the origin?

A: Rule for rotating 180⁰ counterclockwise about the origin If we are rotating any point (x,y) about…

Q: 2.) What is the location of the coordinate (2,-4) when rotated 90 degrees clockwise about the…

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Q: Find the new coordinate of point (6,1) if the axes is translated to the new origin

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Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5) and…

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Q: Give the coordinates of Z" after Triangle XYZ with vertices X(-6,4), Y(0,6), Z(-4,2) is reflected…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: What is the image of the point (-7,9) after a rotation of 270 counterclockwise about the origin

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Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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Q: What are the new coordinates for A(-5,4) B(-1,3) and C(-4,1) after rotating 75 degrees…

A: Answer and explanation is given below...

Q: The point (4,5) is rotated 180° about the origin. What are the coordinates of the resulting image? A…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.