Which of the following statements MUST be true? (i) The curve defined by an equation of the form y = q(x) can also be defined by a set of parametric equations (r(t), s(t)) (ii) The curve defined by an equation of the form x = w(y) can also be defined by a set of parametric equations (u(t), v(t)) (iii) The curve defined by a set of parametric equations (f(t), g(t)) can also be defined by an equation of the form y = h(x) (A) (ii) and (iii) only (G) (i) and (iii) only (H) all of them (B) (i) and (ii) only (C) (ii) only (D) (iii) only (E) none of them (F) (i) only

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following statements MUST be true?
(i) The curve defined by an equation of the form y = g(x) can also be defined by a set of parametric equations
(r(t), s(t))
(ii) The curve defined by an equation of the form x = w(y) can also be defined by a set of parametric equations
(u(t), v(t))
(iii) The curve defined by a set of parametric equations (f(t), g(t)) can also be defined by an equation of the
form y = h(x)
(A) (ii) and (iii) only
(G) (i) and (iii) only (H) all of them
(B) (i) and (ii) only (C) (ii) only (D) (iii) only (E) none of them (F) (i) only
Transcribed Image Text:Which of the following statements MUST be true? (i) The curve defined by an equation of the form y = g(x) can also be defined by a set of parametric equations (r(t), s(t)) (ii) The curve defined by an equation of the form x = w(y) can also be defined by a set of parametric equations (u(t), v(t)) (iii) The curve defined by a set of parametric equations (f(t), g(t)) can also be defined by an equation of the form y = h(x) (A) (ii) and (iii) only (G) (i) and (iii) only (H) all of them (B) (i) and (ii) only (C) (ii) only (D) (iii) only (E) none of them (F) (i) only
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