Parabola and rectangular hyperbola

Parabola and rectangular hyperbola Quiz

Spec 4.1–4 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. What is the focus of y2=12xy^2=12x?

    • A. (12,0)(12,0)
    • B. (6,0)(6,0)
    • C. (3,0)(3,0)
    • D. (0,3)(0,3)

  2. 2. What are the coordinates of the point with parameter t=3t=3 on y2=4xy^2=4x?

    • A. (9,6)(9,6)
    • B. (3,6)(3,6)
    • C. (9,3)(9,3)
    • D. (6,9)(6,9)

  3. 3. The parabola y2=16xy^2=16x passes through (16,16)(16,16). What is the gradient there?

    • A. 22
    • B. 14\frac14
    • C. −12-\frac12
    • D. 12\frac12

  4. 4. For which relationship is y=mx+cy=mx+c tangent to y2=4axy^2=4ax?

    • A. c=amc=am
    • B. c=amc=\frac am
    • C. c=mac=\frac ma
    • D. c=4amc=\frac{4a}m

  5. 5. What is the gradient of xy=c2xy=c^2 at (ct,ct)\left(ct,\frac ct\right)?

    • A. 1t2\frac1{t^2}
    • B. −t2-t^2
    • C. −1t2-\frac1{t^2}
    • D. −c2t2-\frac{c^2}{t^2}

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