Find the equation to the locus of a point such that its distance from the point (3,0) is three times the distance from the Y axis.

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: find the exact distance between the points.  (-1,-5) and (2,4)

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Q: Solve for y and write an equation for a line perpendicular to y=−5x−3 and passing through the point…

A: The line perpendicular to the line y=-5x-3 and passing through the point 15,4

Q: Find the intersection point of the line 3x-2y 0 and the line passing through the point (-1,0) and…

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Q: Find the equation of the line passing through the point (2, 3) and parallel to the x-axis.

A: Given that the line is parallel to x-axis it implies the slope of the line will be equal to zero.…

Q: find all the points having an x-coordinate of 1 whose distance from the point (-3,-1) is 5.

A: Suppose that the points are of the form (x, y) where given that x = 1. So, the points are (1, y).

Q: Find the equation of locus of a point, the difference of whose distances from (-5, 0) and (5,0) is 8

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Q: Find an equation of the line containing the point (4,5) and parallel to the line 2x+5y=-3

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Q: Find an equation for the set of points equidistant from the x-axis and the y-axis.

A: Let the point be (x,y,z) which is equidistant from the x-axis and the y-axis. Concept used:

Q: Find the equation of the locus of a point, the difference of whose distance from (-5,0) and (3,0) is…

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Q: The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates (,.

A: A point which is a units to the left of y-axis and b units above the x-axis is given by the…

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

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Q: Find the equation of the line parallel to 6x + 2y = 7 passing through the point (5, 4). y =

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Q: Find the point on the line  y = 4x + 3  that is closest to the origin

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Q: Find the coordinates of the point on x axis which is equidistant from (-2,5) and (2,-3)

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Q: |Find the equation of the line passing through the point (-1,-4) and having m =-3/2 with x-axis.

A: To find the equation of line passing through the given points.

Q: Find a point on x axis which is equidistant from A(2,-5) and B(-2,9)

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Q: Find the equation that is perpendicular to y = 2x – 1 and passes through the point (2,3). What is…

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Q: Find the point on the line y = 3x + 4 that is closest to the origin.

A: Given, the line equation

Q: Find all points having an x coordinate of 3 whose distance from the point (-1,-6) is 5

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Q: Find the point on the y-axis which equidistant from the point A (6,5) and B (-4,3)

A: Please refer to the image below

Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: Find the standard form for the equation of the line which passes through the point (2,0) and which…

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Q: Find the point on the line x - y + 2 = 0 that is closest to the point (2,5).

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Q: Find the equation of line that passes through the point (-7,-8) and perpendicular to the line meetin…

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Q: Find all points on the x-axis that are 6 units from the point .(4,-3)

A: Consider the point on the x-axis be (x, 0)

Q: Find the equation of the line parallel to the line y = 2x + 1and containing the point (3, 5).…

A: The line is y=2x+1 and the point (3,5)

Q: Find the distance of the point (6, – 3) from the line 2x – y+4=0.

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Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: Find the image of the point (1,2) in the straight line 3x+4y-1=0

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Q: Find the point on the line y = 2x that is closest to the point (5, 2).

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Q: Find the values of δƒ/δx and δƒ/δy at the point (4, -5) ifƒ(x, y) = x2 + 3xy + y - 1.

A: ddxxn=n xn-1

Q: Find the point on X-axis which is equidistant from (2,-5) and (-

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Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

Q: Find the points on the curve y = 19x² closest to the point (0, 2). (0.395 2.973) and (-0.395, 2.973)

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Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

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Q: the length of the line seyment joining the two Pointsof intersection with the two levels of two…

A: For xz level use y=0 and for xy level use z=0.   Then find two point . Then use the distance formula

Q: Find the equation of the straight line perpendicuar to the line          5x-3y+1=0 and passing…

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Q: Find the equation of the line passing through the point (1,6) and perpendicular to the line y=3x-9.

A: y=3x-9   ⇒3x-y=9    ∴The slope of line is +3    ∴The slope of line which is perpendicular…

Q: Find the point on the line y = 5x + 4 that is closest to the origin. (х, у) %3

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Q: parallel to -2x+3y=7 and passing through the point (6,4)

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Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

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Q: find equation with y-intercept of 4, containing points (4,4)

A: The slope intercept form of a line is y=mx+c, where m is the slope and c is the y intercept. Here y…

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find all points on the y-axis that are 5 units from the point (4, 4).

A: Distance between two points (x1,y1) and (x2,y2) on the graph is given by the distance formula, that…

Q: Find the equation of the line parallel to the line y= 4x+3 and passes through the point (0,2)

A: This question is based on equation of line.

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

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Q: Find all points on the x-axis that are 5 units from the point (4, - 3).

A: Solution Given (x1,y1)= (4 -3) y2 = 0          (point lies on x- axis) we know the distance formula…

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.