Parametric equations

Parametric equations Quiz

Spec 3.1 · Edexcel International A Level Maths: Quiz

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  1. 1. Find a Cartesian equation of x=t2−1x=t^2-1, y=2ty=2t.

    • A. y=4(x+1)y=4(x+1)
    • B. y2=4(x+1)y^2=4(x+1)
    • C. y2=4x−1y^2=4x-1
    • D. y=2x−1y=2\sqrt{x}-1

  2. 2. Find a Cartesian equation of x=4cos⁡tx=4\cos t, y=3sin⁡ty=3\sin t.

    • A. x24+y23=1\frac{x^2}{4}+\frac{y^2}{3}=1
    • B. 16x2+9y2=116x^2+9y^2=1
    • C. x29+y216=1\frac{x^2}{9}+\frac{y^2}{16}=1
    • D. x216+y29=1\frac{x^2}{16}+\frac{y^2}{9}=1

  3. 3. Which is a parametric form of y=x2+1y=x^2+1?

    • A. x=tx=t, y=t2+1y=t^2+1
    • B. x=t2x=t^2, y=t+1y=t+1
    • C. x=t+1x=t+1, y=t2y=t^2
    • D. x=t2x=t^2, y=t2+1y=t^2+1

  4. 4. x=2t+1x=2t+1, y=t2y=t^2. Which are the xx-values of the points where y=9y=9?

    • A. 77 only
    • B. −5-5 only
    • C. 77 and −5-5
    • D. 33 and −3-3

  5. 5. Which is a parametric form of (x−1)2+(y+2)2=16(x-1)^2+(y+2)^2=16?

    • A. x=1+4cos⁡θx=1+4\cos\theta, y=2+4sin⁡θy=2+4\sin\theta
    • B. x=1+4cos⁡θx=1+4\cos\theta, y=−2+4sin⁡θy=-2+4\sin\theta
    • C. x=−1+4cos⁡θx=-1+4\cos\theta, y=−2+4sin⁡θy=-2+4\sin\theta
    • D. x=1+16cos⁡θx=1+16\cos\theta, y=−2+16sin⁡θy=-2+16\sin\theta

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