Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Solve Q9, 10 explaining detailly each step
Transcribed Image Text:SIMPLE PARAMETRIC EQUATIONS
1. A cure is defined by the parametric equations x =t, y= 2t. the Cartesian equation of the
curve is:
A. y = 4x
B. y= 2x
C. y-2x
D. y =x
2. The Cartesian equation of a curve defined by x = 2 + 3t, y = -is
A. y=B. x-2y-3 = 0 C. xy-2y-3=0 D. y=
3. x = y = 3t2 +1 define a curve whose Cartesian equation is
A. y = 3
+ 1
B.y = 3
+ 1
C.y = 3 () +1
D.y = 3( - 1
4. If x= 1 -, y 40 the relation between x and y is
A. xy + y+ 8 = 0 B. x-xy-8 =0 C. xy-y+ 8 =0 D. xy-x + 8 = 0
5. The Cartesian equation of a curve defined parametrically by x = and y is:
A. x+ y 1 B. x-y= 1 C. 2x +y 1 D. x-2y = 1
6. The Cartesian equation of a curve defined parametrically by x = 1+ sec 0,y =-1+ tan 8
is
A. (x-1)2 (y+ 1) + 1
C. (x- 1)2 (y +1)2- 1
B.(x+1)2 (y - 1)2+ 1
D. (x- 1)2 = (y+ 1)2
7. if x= , y= are parametric equations of a curve, then its Cartesian equation is:
VI+t
A. x+ y-y 0 B. x+ y-1=0 C. x²-y+y 0 D. x-y+1 0
8. Parametric equations of a curve are x = 1+ cosec t, y = -1 + cott. The Cartesian equatio
of the curve is
A. x? + y? - 2x + 2y+1 0
C. x2 +y +2x + 2y +1 = 0
B. x2 + y? - 2x - 2y-1 0
D. x2-y?-2x- 2y +1 0
9. A curve is defined by the parametric equation x = e", y= 3*, The Cartesian equation 'of
the curve is:
A. ey x B. y= x°x"
C. y=e'x D. y= ex?
10. Given that x = -t°and y = et", where r is a parameter,
d?y
A. 9t2et
2. 3et
C. 9et?
D. 9e3
42
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