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Q4. equation of circle x² + y² - 6x-2y +6 = 0 2 )2 (x-3)² + (y-13² = 4 circle with center line y = Interesect at two Kx +3 at two point if distance from center is less than 2 Let D denote distance 1 3 K -3 √K ²+1 D = |3K+2) к2+1 |3K+21 √K²+T (3,1) 22 + radius = 2 | 3 K+2 | < 2 √ K³² (3k+232 с иск2+1) 4x² gx²+4+12K < 2 5K² +12K

Q4. equation of circle x² + y² - 6x-2y +6 = 0 2 )2 (x-3)² + (y-13² = 4 circle with center line y = Interesect at two Kx +3 at two point if distance from center is less than 2 Let D denote distance 1 3 K -3 √K ²+1 D = |3K+2) к2+1 |3K+21 √K²+T (3,1) 22 + radius = 2 | 3 K+2 | < 2 √ K³² (3k+232 с иск2+1) 4x² gx²+4+12K < 2 5K² +12K

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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b) Tangents For tangent D= c) other distance from center to line = 2 | 1-3K-31 √K²+1 13 K+2) √K²+ = 2 (3K+²²= 2² (K²+1) 9 +²+4+ 12k = 4*2+4 + = 2 5K² + 12x = 0 K=0, K = -1 .-12 - + K ε (-∞, -1²/²-) u (0,00)
Transcribed Image Text:b) Tangents For tangent D= c) other distance from center to line = 2 | 1-3K-31 √K²+1 13 K+2) √K²+ = 2 (3K+²²= 2² (K²+1) 9 +²+4+ 12k = 4*2+4 + = 2 5K² + 12x = 0 K=0, K = -1 .-12 - + K ε (-∞, -1²/²-) u (0,00)
áll a) equation of circle (x-3)² + )2 x2+y2 -6x-2y +6=0 (y-1)² = 4 Су-1)2 circle with center y = Kx +3 line Interesect at two point if distance from center is less than 2 Let D denote distance 3K-3/ Sk2+1 (3,1) radius = 2 D = |3K+2/ √K²+1 |3K+21 √K²4T | 3K+2) < 2 √ K²+1 (3k+232 с иск2+1) 9к2+4+12k < 4к2 + 22 5K² +12K <O 2 5K (K + ¹2). < O ס. + -1/32/33 K ε (-1/²/3, 0) ке +4
Transcribed Image Text:áll a) equation of circle (x-3)² + )2 x2+y2 -6x-2y +6=0 (y-1)² = 4 Су-1)2 circle with center y = Kx +3 line Interesect at two point if distance from center is less than 2 Let D denote distance 3K-3/ Sk2+1 (3,1) radius = 2 D = |3K+2/ √K²+1 |3K+21 √K²4T | 3K+2) < 2 √ K²+1 (3k+232 с иск2+1) 9к2+4+12k < 4к2 + 22 5K² +12K <O 2 5K (K + ¹2). < O ס. + -1/32/33 K ε (-1/²/3, 0) ке +4
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Q4.  Equation of circle  x2+y2-6x-2y+6=0

(x-3)2+(y-1)2=4

Circle with center (3,1) 

radius = 2

Line  y = Kx + 3

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