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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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Transcribed Image Text:3.
given equ³ of the circle is
(x-2) + (7-8) ² = 25
whose centre (2,8) and radius 5 with
P
ㅋ
(x - 2)² + (7-8)^² = 25
Differentiate wisit a we
dy
वय
dy
वर) (3,512)
2x-11y =
"17-55 =
2
→ 27-118
→
42-
x-2
7-8
= -
The equin of the torget at (3, 512)
(y- {) =
-
12-227 = -13,
²₁ (x-3)
류
= 2n-6
SS
55 +6
43
22y = - 43
: (48)
3,512)
дав
3-2
{/22-8.
- (Ans)
Q
Expert Solution
Step 1
The given equation of the circle is
(x - 2)2 + (y - 8)2 = 25 . . . . . . (1)
whose center is (2, 8) and radius is 5 unit.
Differentiating (1) w.r.t x, we get,
2(x - 2) + 2(y - 8)dy/dx = 0
=> dy/dx = -(x - 2)/(y - 8)
=> (dy/dx)(3, 5/2) = -(3 - 2)/(5/2 - 8)
= 2/11
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