Sketching polar curves

Sketching polar curves Quiz

Spec G2 · AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. Which describes the curve r=4sin⁡θr=4\sin\theta?

    • A. A circle through the pole with centre (0,2)(0,2)
    • B. A circle with centre the pole and radius 44
    • C. A circle through the pole with centre (2,0)(2,0)
    • D. A cardioid

  2. 2. How many petals has r=2cos⁡3θr=2\cos3\theta?

    • A. 22
    • B. 33
    • C. 66
    • D. 44

  3. 3. Which curve is a cardioid?

    • A. r=3+cos⁡θr=3+\cos\theta
    • B. r=2cos⁡θr=2\cos\theta
    • C. r=1+2cos⁡θr=1+2\cos\theta
    • D. r=3+3cos⁡θr=3+3\cos\theta

  4. 4. For the spiral r=2θr=2\theta with θ≥0\theta\ge0, find rr when θ=π\theta=\pi.

    • A. 2π2\pi
    • B. π\pi
    • C. π2\frac{\pi}{2}
    • D. 22

  5. 5. Which curve has an inner loop?

    • A. r=3+cos⁡θr=3+\cos\theta
    • B. r=2+2cos⁡θr=2+2\cos\theta
    • C. r=1+2cos⁡θr=1+2\cos\theta
    • D. r=4cos⁡θr=4\cos\theta

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