Polar coordinates and polar curves

Polar coordinates and polar curves Quiz

Spec 7.1–2 · Edexcel A-Level Further Maths: Quiz

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  1. 1. Find the Cartesian xx-coordinate of the point with polar coordinates (6,π6)\left(6,\frac{\pi}{6}\right).

    • A. 33
    • B. 66
    • C. 333\sqrt3
    • D. 332\frac{3\sqrt3}{2}

  2. 2. Which polar equation represents x2+y2=6yx^2+y^2=6y?

    • A. r=6cos⁡θr=6\cos\theta
    • B. r=6sin⁡θr=6\sin\theta
    • C. r=6r=6
    • D. r=36sin⁡θr=36\sin\theta

  3. 3. The curve r=4(3+2cos⁡θ)r=4(3+2\cos\theta) has least distance from the pole of

    • A. 1212
    • B. 2020
    • C. 88
    • D. 44

  4. 4. On the curve r=2θr=2\theta, θ≥0\theta\ge0, find rr when θ=3π2\theta=\frac{3\pi}{2}.

    • A. 3π3\pi
    • B. 3π4\frac{3\pi}{4}
    • C. π\pi
    • D. 6π6\pi

  5. 5. Which statement about r=5sec⁡θr=5\sec\theta is correct?

    • A. It is the line y=5y=5
    • B. It is the circle x2+y2=25x^2+y^2=25
    • C. It is the line x=5x=5
    • D. It is a spiral

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