Find the equation of the circle having center at (2, 3) and which touches x + y = 1. If x² + y² − 2x + 2ay + a + 3 = 0 represents the real circle with nonzero radius, then find t lues of a. Find the image of the circle x² + y² - 2x + 4y -4 = 0 in the line 2x - 3y + 5 = 0.

Q: Find the equation of the circle in standard form centered at (1, 4) passing through the point (5,…

A: Standard form of a circle:

Q: Write the equation of the circle with center at   (4, 3) and touching the line 3x + y = –15.

A: Given that, the circle with center at 4,3 and touching the line 3x+y=-15.   The objective is to…

Q: 6. Write the standard form of the equation of a circle with the given center at (5,7) and a (5)² +…

A: Centre= (5,7) Radius= 2

Q: - If the equation px² + (2−q)xy + 3y² − 6qx +3 e presents a circle then find the values of pand q.

A: Let the equation of the circle be           x2+y2+2gx+2fy+c=0        .....(1)If eq (1) passes…

Q: Which of the following points lies on the circle (x-2)2 + (y-3)2 5? Select one: a. (3,5) b. (5, 3)…

A:

Q: Find the equation of circle with (3, 2) , (- 1, 6) as the end point of a diameter .

A: To Find the equation of circle with (3, 2) , (- 1, 6) as the end point of a diameter .

Q: Write the standard equation of a circle with the center at (-1, -4) that passes through the point…

A:

Q: Write the standard form of the equation of the circle withcenter (h, k) = (4, - 1) and radius r = 3.

A:

Q: Write the equation of the circle with center at (-3, 6) that passes through (0, 6). Do not use…

A: The general equation of a circle is given by (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of…

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A:

Q: Write the standard equation for the circle whose center is at (1,1) and whose radius is 5.

A: With center (h,k) and radius=r (x-h)2+(y-k)2=r2

Q: Find the equation of a circle that has a diameter with endpoints (5, 2) and (1, -6). A (x- 3)2 - (v…

A:

Q: The general equation for a circle is a(x? + y*) + bx + cy + d = 0. There is exactly one circle…

A: a=1, b=-7 c=-9 d=0

Q: Find the center and radius of the circle passing through the points (3, 8), (9, 6) and (13, −2), and…

A: The circle passes through three points (3, 8), (9, 6)  and (13, −2).

Q: Find the equation of the circle given by 3x² + 3y² + 6x - 9y =2

A: Divide the equation 3x2+3y2+6x-9y-2=0 by 3 on both the sides by 3 to simplify the equation and get…

Q: Find the equation of the circle passing through (7,5) and (3,7) and with center on x-3y+3=0.

A: