Which of the following are the equations of the two asymptotes of the curve of y² +10y = 4x²-16x ? (Hint: Express the equation of the curve in the form (y-yo)² (1-10)² = 1 where to, yo, a, b are constants.) (A) y = 2r-9 and y = -2r-1 (B) y = 2x +9 and y = -2x + 1 1 (C) y = 1 -6 and y=-x+4 2 1 1 2 +6 and y = --r 4 2 (D) y = (E) None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following are the equations of the two asymptotes of the curve of y² +10y = 4x²-16x ? (Hint:
Express the equation of the curve in the form
(y-yo)²
(1-10)²
q²
= 1 where to, yo, a, b are constants.)
(A) y = 2r-9 and y = -2r-1
(B) y = 2x +9 and y = -2x + 1
1
(C) y =
1
2-6 and y = - +4
2
1
1
2 +6 and y = --- 4
2
(D) y =
(E) None of the above
Transcribed Image Text:Which of the following are the equations of the two asymptotes of the curve of y² +10y = 4x²-16x ? (Hint: Express the equation of the curve in the form (y-yo)² (1-10)² q² = 1 where to, yo, a, b are constants.) (A) y = 2r-9 and y = -2r-1 (B) y = 2x +9 and y = -2x + 1 1 (C) y = 1 2-6 and y = - +4 2 1 1 2 +6 and y = --- 4 2 (D) y = (E) None of the above
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