Clarification about questions...1. Find the center and radius of circle x + y-2x-4y+13D0. 2. Prove that (0, -2), (-4, 8), & (3, 1) lie on the circle with center (-2, 3). 3. Find k given that (2, k) is equidistant from (3, 7) & (9, 1). 4. Find the standard equation of circle if a diameter has end points (2, 0) & (0, 2). 2 .2 5. Find the equation of line tangent the circle x+ y = 25 at point (3, -4). 2 6. Discuss the equation x +y +4x-6y 12. 7. Find the equation of circle with (3, 2), (-1, 6) as the end point of a diameter. 8. Determine whether the point (1, -2) lie inside, out side, or on the circle x +y -8x – 4y = 5. 1. Find the center and radius of circle x + y-2x-4y+1%3D0.2. Prove that (0, -2), (-4, 8), & (3, 1) lie on the circle with center (-2, 3).3. Find k given that (2, k) is equidistant from (3, 7) & (9, 1).4. Find the standard equation of circle if a diameter has end points (2, 0) & (0, 2)..2.25. Find the equation of line tangent the circle x+ y 25 at point (3, -4).6. Discuss the equation x+y +4x-6y 12.7. Find the equation of circle with (3, 2), (-1, 6) as the end point of a diameter.8. Determine whether the point (1, -2) lie inside, out side, or on the circlex +y -8x - 4y = 5.

(1) Given equation of circle is x2+y2−2x−4y+1=0 We have to find the radius and center of the circle.…

Answered: Find the center and radius of circle x…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Clarification about questions . . . 1. Find the center and radius of circle x + y-2x-4y+13D0. 2. Prove that (0, -2), (-4, 8), & (3, 1) lie on the circle with center (-2, 3). 3. Find k given that (2, k) is equidistant from (3, 7) & (9, 1). 4. Find the standard equation of circle if a diameter has end points (2, 0) & (0, 2). 2 .2 5. Find the equation of line tangent the circle x+ y = 25 at point (3, -4). 2 6. Discuss the equation x +y +4x-6y 12. 7. Find the equation of circle with (3, 2), (-1, 6) as the end point of a diameter. 8. Determine whether the point (1, -2) lie inside, out side, or on the circle x +y -8x – 4y = 5.

1. Find the center and radius of circle x + y-2x-4y+1%3D0.
2. Prove that (0, -2), (-4, 8), & (3, 1) lie on the circle with center (-2, 3).
3. Find k given that (2, k) is equidistant from (3, 7) & (9, 1).
4. Find the standard equation of circle if a diameter has end points (2, 0) & (0, 2).
.2
.2
5. Find the equation of line tangent the circle x+ y 25 at point (3, -4).
6. Discuss the equation x+y +4x-6y 12.
7. Find the equation of circle with (3, 2), (-1, 6) as the end point of a diameter.
8. Determine whether the point (1, -2) lie inside, out side, or on the circle
x +y -8x - 4y = 5.

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