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24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? a. (x – 1)2 + (y – 3)² = 2 b. (x – 1)2 + (y – 3)² = 4 c. (x + 1)2 + (y + 3)² = 2 d. (x + 1)2 + (y + 3)² = 4 %3D %3D %3D

24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? a. (x – 1)2 + (y – 3)² = 2 b. (x – 1)2 + (y – 3)² = 4 c. (x + 1)2 + (y + 3)² = 2 d. (x + 1)2 + (y + 3)² = 4 %3D %3D %3D

Advanced Engineering Mathematics
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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24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? а. (х — 1)2 + (у -3)2 %3D2 b. (x — 1)2 + (у — 3)2 %3D 4 c. (x + 1)2 + (y + 3)² = 2 d. (x + 1)² + (y + 3)² = 4 %3D 25. Which of the following equations describe a circle on the coordinate plane with a radius of 4 units? A. (x-4)° +(y-4)° = 2° B. (x-2)° +(y-2)° = 4° c. (x+2) -(y+2)* = 4° · D. (x -4)° +( – 4)* = 16° %3D %3D On a grid map of a province, the coordinates that correspond to the location of a cellular phone tower is (-2, 8) and it can transmit signals up to a 12 km radius. What is the equation that represents the transmission boundaries of the tower? 26. C. x? + y? - 4x – 16y +76=0 D. x² + y° +4x –16y +76=0 A. x² + y? - 4x +16y – 76=0 С. X %3D B. x² +y² +4x –16y -76= 0 27. What is the center of the circle in the general form x2 + y² – 4x + 10y + 13 = 0? а. (2,5) b. (-2,5) с. (2, -5) d. (-2, -5) 28. What is the radius of the circle in the standard form x2 +y² = 100? %3D а. 7 b. 8 c. 9 d. 10
Transcribed Image Text:24. What is the equation of a circle with the center at (1, 3) and a radius of 2 units? а. (х — 1)2 + (у -3)2 %3D2 b. (x — 1)2 + (у — 3)2 %3D 4 c. (x + 1)2 + (y + 3)² = 2 d. (x + 1)² + (y + 3)² = 4 %3D 25. Which of the following equations describe a circle on the coordinate plane with a radius of 4 units? A. (x-4)° +(y-4)° = 2° B. (x-2)° +(y-2)° = 4° c. (x+2) -(y+2)* = 4° · D. (x -4)° +( – 4)* = 16° %3D %3D On a grid map of a province, the coordinates that correspond to the location of a cellular phone tower is (-2, 8) and it can transmit signals up to a 12 km radius. What is the equation that represents the transmission boundaries of the tower? 26. C. x? + y? - 4x – 16y +76=0 D. x² + y° +4x –16y +76=0 A. x² + y? - 4x +16y – 76=0 С. X %3D B. x² +y² +4x –16y -76= 0 27. What is the center of the circle in the general form x2 + y² – 4x + 10y + 13 = 0? а. (2,5) b. (-2,5) с. (2, -5) d. (-2, -5) 28. What is the radius of the circle in the standard form x2 +y² = 100? %3D а. 7 b. 8 c. 9 d. 10
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