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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.

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.

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