Find the midpoint of the line segment joining the points P1 and P2 . Equation: x2 + 4y2 = 4Points: (0, 1); (2, 0); (2,1/2)

Q: B. Find the point on the line y = 3x that is closest to the point (50, 0).

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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 an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: Find the point on the line x /a + y/ b = 1 that is closest to the origin.

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Q: b. Find the slope of the curve at the given point. y* = 2x; (648,6)

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Q: Parallel to the line y=-3x+ 2; containing the point (-1,2)

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Q: Find the point(s) of intersection of the line y=7x-42 and the circle with equation x2+y2-4x+6y=12.

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Q: nd an equation for the perpendicular bisector of the line segment whose endpoints e (7,9) and…

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Q: Use the Midpoint Formula three times to find the three points that divide the line segment joining…

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Q: nd the midpoint M of the line segment joining the points C = (0, 8) and D = (-8, 4). M = 0D Dlo

A: Given:- points C(0,8) and D(-8,4) To find:- mid point of line joining points C and D

Q: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: Find an equation of the curve that passes through the point and has the given slope. 4y (32, 6), y'…

A: Here is the solution of the given problem.

Q: Find the distance, d=(za - z)² + (y½ - y) between the two points. Round to the nearest tenth. %3D C…

A: Designating the point as (x1,y1) and (x2, y2) is arbitrary we choose (x1,y1) = (2,4) ( x2,y2) =…

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Let the line segment be AB , where coordinates of A & B are 3,-2 & 5,-1 .Let the three…

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

A: Given, the line equation

Q: Find the length of the curve Y 12x', 1<X< 2

A: Given curve is: Y=X55+112X3, 1≤X≤2 To find the length of the curve.

Q: Find the equation of the line perpendicular to 6x+4y=7 passing through the point (0,4).   y=

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Q: Write the equation of the line tangent to the graph of y? 2y + 10x 17 at (2, – 3). - The equation is…

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Q: Find an equation of the line perpendicular to 3x - 2y = 7that contains the point 11, 52.

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Q: Find the equation of a line perpendicular to y=−x−1 that contains the point (1,2).

A: We have to find the equation

Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: nd the distance between the points (-3,0) and (0,1). ne distance is

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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 equation of the line perpendicular to 3x + 5y = 3 passing through the point (5, 2). y =

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Q: Find the point on the line y = 3x + 2 that is closest to the origin. (х, у) %3D

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Q: Find the slope of the curve y =x – 2x at the point P(2,-2). 4

A: To find the slopey=14x3-2x at the point(2,-2).

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

A:

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 equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: Find an equation for the line with the given properties. Parallel to the line 3x + 2y = 17;…

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Q: Find an equation for the contour of f(x, y) = 2x2y + 6x + 10 that goes through the point (2, -2).

A: We have to find an equation that is the contour of  f(x,y)=2x2y+6x+10      that goes through the…

Q: Find an equation of the line in form ax+by=c, with y intercept 9 and perpendicular to x+7y=17.

A: We need to find the equation for a line with y intercept 9 and perpendicular to another line, whose…

Q: y = 6x?, 1, and y 0, about the -axis.

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Q: Find the y intercept of the line by substituting 0 in for x and solving for y. Y=-2X+12

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Q: Q1 Find the equation of the line passes through the point (5,2) and normal to the line that has the…

A: Given: The equation of line y = 2x+4. To find: The equation of line that passes through the point…

Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the midpoint of the line segment joining the points P1 and P2 . Equation: y3 = x + 1Points: (1,…

A: Given y3=x+1 Points: (1, 2); (0, 1); ( - 1, 0)

Q: 8+ (1,2) -8 y= 2x -8-

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

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Q: The lines y = 5x − 3 and y = 2x + 9 intersect at P. What are the coordinates of P

A: P(4,17)

Q: Perpendicular to the line y = 2x - 3; containing the point (1, –2)

A: Equation of a line passing through the point (a, b) and slope m is y-b=m(x-a)

Q: Find the equation of a line that intersects the curve y = x² + 14x + 52 at x = -10 and is parallel…

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Q: 45. Parallel to -3x + 4y = 12, passing through (-4, – 6)

A: The line is parallel to -3x+4y=12, passing through -4,-6

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 of the line y = 2x − 1 that is closest to the origin.

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Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: What point on the line y=3x+6 is closest to the​ origin?

A: The point on the line closest to the origin is the foot of perpendicular drawn from origin to the…

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) &amp; (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

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.