Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle x\power{2}+y\power{2}-x-y-6=0 made by the chord whose rquation is x+y-2=0.  Find the points on the circle x\power{2}+y\power{2}-2x+4y-20=0 which are farthest and nearest to the point (-5,6).

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

A:

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: Find an equation of the circle passing through the points (2, 3), (-1, 6), and (5, 2).

A: Here we have to find the general equation of the circle with given 3 points (2, 3), (-1, 6), (5, 2).

Q: a circle with an equation of x² - 4x + y² + 2y = 4. 5+ 4 3 2 1 4 -3 -2 -1 ear All Draw: -1 -2 -3 -4…

A: Given query is to draw the circle.

Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: 2. Write the equation of a circle in standard form with a center of (-8, 12) and that passes through…

A: Given the center (h,k) = (-8,12) And the circle passing through the point (-15,12). To find the…

Q: Which point is the center of the circle * 4x² + 4y² = 4y - 8x + 5? (-1,-/-) (1,-1) 2 2 Option 1…

A: This question is based on general equation of circle.

Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

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Q: Is the point (-15, 15) on the circle defined by (x+15)+(y-15) = 100? Yes No X Ś

A: To determine whether the given point lies on the circle or not.

Q: Find an equation for a circle of radius 4 and center at the point (0,-2).

A: Given: For a circle,                           radius, r = 4 And            center, (h, k) = (0,-2)

Q: What is the equation of the circle passing through the points A(-1,3) and B(3,-3) and whose center…

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Q: find the equation of the circle through (-2, 1) (4,-3) and (4,7)

A: Given, (-2,1),(4,-3) and (4,7)

Q: Find the equation of the circle with center (-3,8) and radius √3

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Q: Determine the equation of the circle with center (-6,2) containing the point (-9,-2)

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Q: Find the perpendicular bisector of a chord of a circle whose cordinate are A(6,-8) and B(2,4)

A: First find the midpoint of the chords then using slope and points write the equation of the line…