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1. A cure is defined by the parametric equations x =t, y = 2t. the Cartesian equation of the curve is: A. y 4x C. y-2x D. y x B. y 2x 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-1 21 3. x =- Ty = 3t2 +1 define a curve whose Cartesian equation is %3D A. y 3 +1 B.y = 3 +1 C. y 3 (+1 D.y = 3(-1 %3D

1. A cure is defined by the parametric equations x =t, y = 2t. the Cartesian equation of the curve is: A. y 4x C. y-2x D. y x B. y 2x 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-1 21 3. x =- Ty = 3t2 +1 define a curve whose Cartesian equation is %3D A. y 3 +1 B.y = 3 +1 C. y 3 (+1 D.y = 3(-1 %3D

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 9CT
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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
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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