Circle properties and tangents

Circle properties and tangents Quiz

Spec C2 · AQA A-Level Maths: Quiz

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  1. 1. ABAB is a diameter of a circle and PP is a point on the circle. What is AP^BA\hat{P}B?

    • A. 45∘45^\circ
    • B. 60∘60^\circ
    • C. 90∘90^\circ
    • D. 180∘180^\circ

  2. 2. The centre of a circle is (0,0)(0,0) and a tangent touches it at (3,4)(3,4). What is the gradient of the tangent?

    • A. −34-\frac34
    • B. 43\frac43
    • C. 34\frac34
    • D. −43-\frac43

  3. 3. A chord is 1616 cm long and its distance from the centre is 66 cm. What is the radius?

    • A. 292\sqrt{292} cm
    • B. 1414 cm
    • C. 1010 cm
    • D. 88 cm

  4. 4. Which statement about a tangent to a circle is correct?

    • A. It cuts the circle at two points
    • B. It is parallel to the radius at the point of contact
    • C. It passes through the centre
    • D. It is perpendicular to the radius at the point of contact

  5. 5. The radius at TT has gradient −2-2. What is the equation of the tangent at T(1,5)T(1,5)?

    • A. y−5=−2(x−1)y-5=-2(x-1)
    • B. y−5=2(x−1)y-5=2(x-1)
    • C. y−5=12(x−1)y-5=\frac12(x-1)
    • D. y−5=−12(x−1)y-5=-\frac12(x-1)

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