Conic sections

Conic sections Quiz

Spec D15 · AQA A-Level Further Maths: Quiz

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  1. 1. Where does x249+y216=1\frac{x^2}{49}+\frac{y^2}{16}=1 meet the xx-axis?

    • A. (±16,0)(\pm16,0)
    • B. (±4,0)(\pm4,0)
    • C. (±7,0)(\pm7,0)
    • D. (±49,0)(\pm49,0)

  2. 2. Find the asymptotes of x24−y225=1\frac{x^2}{4}-\frac{y^2}{25}=1.

    • A. y=±52xy=\pm\frac52x
    • B. y=±25xy=\pm\frac25x
    • C. y=±254xy=\pm\frac{25}{4}x
    • D. y=±425xy=\pm\frac{4}{25}x

  3. 3. Which point lies on y2=8xy^2=8x?

    • A. (4,2)(4,2)
    • B. (8,1)(8,1)
    • C. (1,4)(1,4)
    • D. (2,4)(2,4)

  4. 4. In which quadrants does xy=16xy=16 have points?

    • A. First and second
    • B. First and third
    • C. Second and fourth
    • D. All four

  5. 5. Which equation gives a hyperbola with xx-intercepts (±3,0)(\pm3,0) and asymptotes y=±23xy=\pm\frac23x?

    • A. x24−y29=1\frac{x^2}{4}-\frac{y^2}{9}=1
    • B. x29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=1
    • C. x29−y24=1\frac{x^2}{9}-\frac{y^2}{4}=1
    • D. y29−x24=1\frac{y^2}{9}-\frac{x^2}{4}=1

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