Parametric equations

Parametric equations Quiz

Spec 3.3 · Edexcel A-Level Maths: Quiz

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  1. 1. A curve has x=3tx=3t, y=t2+1y=t^2+1. What is its Cartesian equation?

    • A. y=3x2+1y=3x^2+1
    • B. y=x29+1y=\frac{x^2}{9}+1
    • C. y=x23+1y=\frac{x^2}{3}+1
    • D. y=x2+1y=x^2+1

  2. 2. Which Cartesian equation matches x=1+2cos⁡tx=1+2\cos t, y=−3+2sin⁡ty=-3+2\sin t?

    • A. (x+1)2+(y−3)2=4(x+1)^2+(y-3)^2=4
    • B. (x−1)2+(y+3)2=2(x-1)^2+(y+3)^2=2
    • C. (x−1)2+(y+3)2=4(x-1)^2+(y+3)^2=4
    • D. x2+y2=4x^2+y^2=4

  3. 3. A curve has x=2tx=2t, y=8ty=\frac{8}{t}. Which is its Cartesian equation?

    • A. xy=8xy=8
    • B. xy=4xy=4
    • C. xy=16xy=16
    • D. y=16x2y=\frac{16}{x^2}

  4. 4. For x=5cos⁡tx=5\cos t, y=5sin⁡ty=5\sin t with 0≤t≤π20\le t\le\frac{\pi}{2}, which part of the circle x2+y2=25x^2+y^2=25 is traced?

    • A. The first quadrant arc
    • B. The upper semicircle
    • C. The right-hand semicircle
    • D. The whole circle

  5. 5. On the curve x=2t+1x=2t+1, y=4t2−3y=4t^2-3, at which value of tt does the curve cross the yy-axis?

    • A. t=12t=\frac12
    • B. t=1t=1
    • C. t=−2t=-2
    • D. t=−12t=-\frac12

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