83. Perpendicular Bisector Find an equation of the perpendicu- lar bisector of the line segment joining the points A(1,4) and В(7, — 2).

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: 1. The line A cuts the x-axis at the point (q, 0) and the y-axis at (0, p) 2. The line B cuts the…

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Q: 4. Write an equation of the circle that is tangent to both axes with radius VI1 and center in…

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Q: 3. (а) Find the equation of the chord of the circle x + y 81 which is bisected at the point (-2, 3)…

A: 3. (a) Given equation of circle is                                                         x2+y2=81…

Q: What point is symmetric with respect to the y-axis to the point (;) V3 (pp. 12–14)

A: Given point is : 12,32

Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2, -1) and is parallel…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A…

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Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: Find the coordinates of the midpoint of HX 3 H 5- 2. 2- The coordinates of the midpoint of HX are…

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Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

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Q: 3. The midpoint of XY is M(6, -5). If the coordinates of X are (-3, -2), what are the coordinates of…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

Q: 6. Solve for y: V3y – 2+2 = y 7. Use the Pythagorean Theorem to find the distance between the points…

A: 6. The given equation is 3y-2+2=y.

Q: 4. Use the algebraic tests to check for symmetry with respect to both axes and the origin. x - y? =…

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Q: 7. Luke is going to reflect point R(6, 10) over the y- axis. What are the coordinates for R'?

A: 7) Given:     Point R6,10 over the y-axis. The reflection of point (x, y) across the y-axis is (x,…

Q: A line segment has (x₁, y₁) as one endpoint and (xm, Ym) as its midpoint. Find the other endpoint…

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Q: 18. The equation of a circle with center on the y-axis and passing through the origin and the point…

A: It is given that the circle is passing through the origin (0,0) and the point (2,3). As the general…

Q: 1. Find the general equation of the straight line that intercepts the x-axis at 2 and the y-axis at…

A: 1) The objective is to find the equation of line that intercept x-axis at 2 and y-axis at -6. 2)…

Q: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9

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Q: 3. Determine the radius of a circle that passes through (5, 12). Hint: Substitute x 5 and y = 12…

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Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: 2) Given the circle x2 +y = 25 and point P (x,y,) on the circle, find the equation of the line in…

A: We have to find equation of line in slope- intercept form:

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

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Q: 19. In the xy-plane the x-axis and the graphs of the lines y=x, y=1 and y+x=4 intersect to form a…

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Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

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Q: (c) Find the distance from the point (4, 22, 6) over to the xz-plane. (d) Find the distance from the…

A: c) To find the distance from point (4, 22, 6) to xz-plane. Here  x = 4, y = 22, z = 6.     Let us…

Q: 8) What is an equation of the circle whose center is (3,-2) and whose radius is 5? A) (x+ 3)² + (y -…

A: General equation of Circle :  (x - h)2  + (y - k)2  = r2    Center:  C( h , k)   Radius : r

Q: B. Find the intersection points of the circle with center (2, 2) and radius 2√2 and the line that…

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Q: a) Obtain the distance between a point and a line in R. b) Find the distance between the point P…

A: Distance of point (x1,y1,z1) tothe line ax+by+cz+d=0 is d=ax1+by1+cz1+da2+b2+c2Therefore distance…

Q: A line segment has "(x1, y1)"as one endpoint and (xm, ym) as its midpoint. Find the other endpoint…

A: We have given one endpoint (x1, y1) and midpoint (xm, ym) of a line segment. We have to find the…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: (i) Find the co-ordinates of the points A and B where the line y= 2x- 1 cuts the curve y= x2 – 4.…

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Q: Consider point P(4, 2) and line /with equaiton -3x + 4y = 6. The equation of the line that passes…

A: Solved below

Q: Find center and radius of a circle. x^2- 12x + y^2 + 8y - 24 = 0

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Q: 13. The lines y = 5x -3 and y = 2x +9 intersect at P. What are the coordinates of P

A: according to bartleby guideline ,I can solve first question ...

Q: Find an equation of the perpendicular bisector of the segment AB with endpoints A(1, 2) and B(-3,…

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Q: 2. Find the exact distance between the point P(2, 7) and the line y = -2x + 1. Use of graphis…

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Q: Consider point P (4, 2) and line /with equaiton -3x + 4y = 6. The equation of the line that passes…

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Q: 12. Find the distance between the parallel lines x = -4 -t 4:{y = -3+ 2t, teR and l2: y = -5 – 2s, s…

A: Given,  l1=x=-4-ty=-3+2tz=3-2t, t∈ℝ &l2=x=6+sy=-5-2sz=5+2s, s∈ℝ represented as,  l1=-4, -3,…

Q: Find equation of the line Passes through the Peint (-3,2,-1)-and parallel te the lineof intersection…

A: Given that: The given point is: (-3, 2, -1)The planes are: π1: x+2y+z=8 and π2:x+y-z=2

Q: 9. Using analytic geometry, find the coordinates of the point on the x axis which is equidistant…

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Q: 1. The line A cuts the x-axis at the point (q, 0) and the y-axis at (0, p) 2. The line B cuts the…

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Q: [c] Use the formula you found in part [b] to find the shortest distance from the point (2, 3, -1) to…

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Q: Find distance the poinl- the between CziZ16) * +y=0, J -Z = the line

A: Consider the given equation of a line: Here the objective is to find the distance between point p…

Q: Consider the two points (1, –4) and (-6, –2). The distance between them is: The x co-ordinate of the…

A: By using distance formula and mid point formula, we calculate the required distance and midpoint.

Q: 1. The midpoint of points A and B is given to be (-,–1). Suppose two lines l1 and lz are…

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