Find the Cartesian equation of the locus of points satisfying PA + PB = 12, where A is the point with coordinates (-3, 0) and B is the point with coordinates (3, 0).«

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the distance from the point (-5, -1, -3) to the plane 5x + 3y + 2z = 1

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Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

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Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.

A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…

Q: Find the equation of locus of a point which is at a distance 5 from A (4, -3).

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Q: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

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Q: 9 What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

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Q: 2. Find the exact value of the distance between the line of intersection of the planes 2x - y + 2z =…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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: find the distance from the point to the plane. (2, -3, 4), x + 2y + 2z = 13

A: Given:

Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: Plot the planes given by the equations y z = 0 and x = 0 and their line of intersection using a box…

A: The given planes are y-z=0 and x=0. Hence the line of intersections of these two planes can be…

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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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: The distance between the point (9, 8, 3) and the plane x + y−2z = 5 is _____.

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Q: Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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Q: Where does the line through (1,0,1) and (4,-2,2) intersect the plane x+y+z=6?

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Q: The distance between the point ( 9,8,3) and the plane x + y – 2z = 5 is .... %3D

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Q: Find the distance between the parallel planes.2x + y - 2z = 0 and 2x + y - 2z = 5

A: The given parallel planes are 2x+y-2z=0  and  2x+y-2z=5. The objective is to find the distance…

Q: Point F is 50 mm from a vertical straight line AB. Draw locus of point P, moving in a plane such…

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Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

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Q: Find the equation of locus of a point which is at distance 5 from A(4,-3)

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Q: Calculate the distance between the points Q = (-7, 9) and K = (-2, 2) in the coordinate plane. Give…

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Q: Find the distance from the point (-3, 4, -1) to the plane 5x−4y−5z=−3.

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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 to the plane (2,-3,4) , x+2 y - 2 z = 13

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Q: 2. Obtain an equation for a plane 7 that includes straight line(2"--5) and point(-2,1,1).

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Q: find the distance from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: A line, passing through point (6, 3, 2) and is perpendicular to the xy-plane. Find a point on this…

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Q: Find the distance from the point (-5, –13,6) to the plane –9x + 3y – 8z = -67. Distance is ...

A: Given:            point a(-5,-13,6)=(x0,y0,z0)            plane equation is -9x+3y-8z+67=0we know…

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

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Q: Find the distance from the point (1, -4, 4) to the plane −2x−4y+3z=5

A: Given:The point (1, –4,4) and the equation of the plane –2x–4y+3z=5.The distance from the point…

Q: What are the coordinates of the points in the graph of y – z² + 6z – 13 = 0 in which the tangent…

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

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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: Determine the distance from point Q = (2, 6, 9) to the plane x + 2y + 2z = 8

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Q: Find the distance from the point Q(6, -2, 4) to the plane 2x - y + 2z = 4.

A: It is given that a point Q6,-2,4 and equation of the plane 2x-y+2z=4. Here, x1=6, y1=-2, z1=4  and…

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

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Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

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Q: Find the distance from the point (5, -4, 1) to the plane −3x−2y−3z=−4

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Q: Find the distance from the point (-2, 2, 3) to the plane -3x + y – z = 9.

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Q: Write the equation of the plane passing through point (3, 8, 3) that is parallel to the xz-plane.. X…

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Q: 2. Obtain an equation for a plane a that includes straight line(2--5) and 1: point(-2,1,1)

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Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x 1-t,…

A: equation of plane for non collinear points , x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1 we will use…

Q: Find the distance of the point (3,8,2) from the line =22= measured parallel to the plane 3x + 2y- 2z…

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Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

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Q: Find the distance from the point (-2, 1, 4) to the plane y = -5

A: Given plane is: y = -5 Given point is: (-2, 1, 4) We know that the distance (d) of a point P(h, j,…

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y -z = -2?

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Q: 5. Find the distance from the point (4, -3, 6) to the plane *-2y+z=1

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