Find an equation for the graph of the set of points whose distances from (3,0) and (-3,0) always add up to 10.

Q: Find the equation of a line parallel to x=−5 that contains the point (3,−2).

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Q: Which points on the graph of y = 4 - x2 are closest to the point (0,2)? Ans. and

A: We will use Lagranges multiplier to find nearest points on graph

Q: Find the point on the line 4x + y = 7 that is closest to the point  (−4, 2).

A: Let P(x,y) be the point on 4x+y=7 y=7-4x Distance   D2=x+42+y-22Z=x+42+7-4x-22Z=x+42+5-4x2

Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

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Q: find an equation of a tangeant line to the curve at the given point y=4.9x-x^2, (5,-0.5)

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Q: Find the linear function whose graph passes though the point 13, 22 and is parallel to the line y =…

A: Given line 4 : y=3x+8Compairing with y=mx+C , slope of line 4 is m1=3 Hence , the slope of line…

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 the distance between the lines 3x+y-12=0 and 3x+y-4=0

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Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 2).

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Q: Write the equation for the graph. 5. 4- 2 -8 -7 -6 -5 -4 4. 1- (-1, =1) -2 (0, –2) -3 |(1, –4) -4 -5…

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Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y 5

A: Nearest distance is the perpendicular distance from the point to the line.

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

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Q: Which points on the graph of y= 4-x^2 are closest to the point (0,2)?

A: Given function- y=4-x2 Any point on the curve of this function will be given by- x,4-x2 The given…

Q: Which point on the graph of the line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

Q: From the graph, you can see that (-2,0) and (0,4) are two points on this line.

A: Given points (-2,0) and (0,4) Therefore slope of line  m = (y2-y1)/(x2-x1) m = (4-0)/(0-(-2)) m =…

Q: Find all points having an x-coordinate of 2 whose distance from the point  (-2, - 1) is 5.

A: Distance(D) between two points Ax1, y1 and Bx2, y2 is D2=x1-x22+y1-y22…

Q: Find the point on the line 5x + y = 5 that is closest to the point (−5, 3).

A:

Q: Find the point on the line 3x + y= 9 that Is closest to the point (-5, 1). (x, Y) - (

A: According to question given that Line 3x+y=9, closest to the point (-5,1)We have to calculate the…

Q: The distance from the point (2,1) to the line  4x-3y+5=0 is

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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 midpoint between the pair of points. (3,0) and (-5,4)

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Q: point on the line

A: I

Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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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 distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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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 the equation of the curve whose slope is given by 8 1 + x2 and the curve passes through the…

A: Solution

Q: that

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Q: The intersection point of the line y = +2 and the x-axis is

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Q: Find an equation in slope intercept form that passes through the point (5,12) and has an x intercept…

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Q: Find the point on the line 3x + 3y - 3 = 0 which is closest to the point (-2, 1). )

A: To find closest point on the line, draw perpendicular from the given point to the given line. The…

Q: Find an equation for the graph of the set of points whose distances from (6,0) and (-6,0) always add…

A: Given points are 6,0 and -6,0 Then by the definition it represents an ellipse where the foci are…

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: Find an equation for the graph of the set of points whose distances from (5,0) and (-5,0) always add…

A: Consider the given set of points (5,0) and -5,0. The objective of the problem is to find the…

Q: + y = 9 that is closest to the point (−5,

A: The line is: 6x+y=9 Point (-5,3)

Q: 3. 2x − y = 4 at point (0,−4)

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Q: Find the equation of the vertical line at an x coordinate of -3

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Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

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 distance between the point (-3,1) and the line 4x + 3y + 4 =0.

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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: What point on the graph of y = x² is closest to the point (3,0)?

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Q: (우시) Find an equation of the line such that the points 7.4 and ,3 are on the line.

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Q: What point on the line 3x -y = 4 is the closest to the point A( -2, 3) ?

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Q: Find the distance between the two given point (-5,-3) and ( -2,3)

A: To Determine: Find the distance between the two given point Given: we have two points (-5,-3) and (…

Q: Find an equation of the line that passes through the point (5, 4) and has a slope m of 0.

A: A line with slope 0 is parallel to the horizontal axis.

Q: The distance of the line 7x+y- 5=0 from the origin is

A: We have to use distance formula to solve the question

Q: 4. x² + y² = 25 at point (3,4) 2

A:

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.