What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 = 0 and 2 + y? – 8x – 6y + 9 = 0?

Q: is 6x-10y = -6 parallel to y= -5/3x+5

A: Given that two line equation and we show that these lines are parallel or not.

Q: Does the point (-3,5) lie inside, outside or on the circle with the equation (x + 2)´ + (y – 4)² = 9

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Q: Graph the equation 3x - 4y = 8 on the xy-plane

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Q: What is the center and radius for the equation (x - 4)² + (y + 6)² = 81 ?

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Q: Find the equation of the radical axis of the circles x²+y2-18x-14y+121=0 and x²+y²- 6x+6y+14=0

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Q: Find the equation of the circle which passes through (10:2), (9.-3) and the centre of the circle…

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Q: the equation x2+y2+24x+6y-144=0

A: General circle equationx2+y2+2gx+2fy+c=0centre -g,-f and radius r=g2+f2-c

Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: Find the equation of the line perpendicular to 2x+3y=1 and whose distance from the origin is 7.

A: Given equation of line is  2x+3y=1 The distance of the line perpendicular to 2x+3y=1 from origin is…

Q: Find an equation of the circle passing through the points (−1, 3), (−4, 6), and (2, 2).

A: Find an equation of the circle passing through the points  (−1, 3), (−4, 6), and (2, 2).