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Question

R is a point outside a circle and is 18 cm away from its centre. A secant drawn from the point R intersects the circle at points A and B in such a way that RA = 7 cm and AB = 5 cm. The radius of the circle (in cm) is:

The correct answer is

4√15

Using the power of a point theorem, solving for the radius gives 4√15 cm.

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Important Questions from Circles

  1. If 3x + y - 5 = 0 is the equation of a chord of the circle x+ y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?

  2. What is the area of minor segment ?

  3. What is the area of major segment ?

  4. A straight line x = y + 2 touches the circle 4(x 2+ y 2) = r 2. The value of r is

  5. If the centre of the circle passing through the origin is (3, 4), then the intercepts cut off by the circle on x-axis and y-axis respectively are

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