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

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: If the point (-1,6) is shifted 2 units to the left and 4 units up,what are its new coordinates?

A: If the point (-1,6) is shifted 2 units to the left and 4 units up, what are its new coordinates?…

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: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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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: Suppose point A(9,10) was rotated 270 degrees counterclockwise around the origin.  What is the y…

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Q: What is the point (0, 0) called?

A: To find,   The point (0,0) called

Q: What are the coordinates of the point (1, 2) after a translation right 9 units and up 3 units?

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Q: Determine the equation of the straight line passing through the point (3, 1) and with an angle of…

A: The equation of the line is y-y1=m(x-x1). We have (x1,y1)=(3,1)    m=slope of the line= tan 135°

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

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Q: Calculate the distance between the points P = (-7, 0) and N=(-4, -6) in the coordinate plane. Give…

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Q: Rotate the point -320° to within 10°. (о, 1) x (1, 0) (-1, 0) (о, -1)

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Q: What are the x,y coordinates of the lowest point of the valley and what is the elevation at that…

A: Given, fx,y=-2000+0.004x-10002+0.001y+10002. It has been asked to find the lowest point of the…

Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: Find the distance from the origin out to the point (25, 5).

A: we know that distance d between two given points x1,y1,x2,y2 is given by d=x2-x12+y2-y12

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

A: To find new co ordinates.

Q: A line segment P1(2,6) and P2(4,7) is scaled by 5 in x direction and 5 in y direction and then…

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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 will be the new position of the given point (9, - 3) after reflection across the y-axis?

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Q: Sketch the points (1, 5, 3), (0, 2, −3), (−3, 0, 2) and (2, −2, −1) on a single set of coordinate…

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Q: If the point 1 - 1, 62 is shifted 2 units to the left and 4 units up,what are its new coordinates?

A: The given point is 1,62

Q: Point A is at (3, 5) and was reflected so that its image is at (-3, 5). Which axis was it reflected…

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Q: The point (5,4,7) is the midpoint between the points (10,8,1) and (x,y,2). Find (x,y,2).

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Q: 6. Center at (2,-3), one corner of auxiliary rectangle at (-1,-5), conjugate axis is horizontal

A: Given: Center: (2, -3) One corner of auxiliary rectangle at (-1, -5), conjugate axis is horizontal.…

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: Find a parameterization for the line segment from (2, -1) to (1,4).

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Q: The image of the point (–1, –3) under a translation is (-4, –2). Find the coordinates of the image…

A: Translation is the shifting of coordinates of a point used to get image of a point.

Q: Compute the original coordinates with respect to x and y axes if the translated coordinates of this…

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Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

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Q: Find cot θ⁡ whose terminal side passes through the point (4,0).

A: Given terminal side passes through the point (4,0)

Q: Find an equation of the vertical line with the given property. Passes through the point (−7, 9)

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Q: 6. parallel to y%3D through (-3, 6)

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Q: 1. When the origin is shifted to (2,3) by translation of axes, the coordinates of P are changed to…

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Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

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

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Q: Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and…

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Q: Find an equation for the set of all points (r, y, z) equidistant from point 10.) (1,0, 2) and the…

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Q: Point B of a triangle ABC is at (3 , 4). If triangle ABC is reflected about the x-axis and then…

A: Given point B(3,4)

Q: If the point (- 1, 6) is shifted 2 units left and 4 units up, what are its new coordinates?

A: To find the new coordinates  after the shifting  Let x,y be the coordinates, then  If k units are…

Q: Determine the new coordinates of the point (3,5) when the origin is moved to (2,4) by translation…

A: We have to find the point

Q: 4. Determine the coordinate of the point which is three-fifths of the way from point (2, -5) to the…

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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: Which of these points is closest to the point (7,1)?

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Q: Find the distance of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

Q: Find the coordinates of the image. Ry-axis (S) -3 -3- th

A: From the graph given point S is at (3,6) Now reflect the point S across y axis For reflection across…

Q: Find the equation of the line that satisfies the given conditons.  Through (-6,-7); perpeindicular…

A: Given: line passing through (-6, -7), perpendicular to line passing through (-3,5), (1,3).

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.