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Solved Examples
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fff Two circles with centers A and B intersect at M and N. mP = 72, mS = 80. Find mQ. fff View Solution
fff Two secants drawn from the same point to a circle make intercepted arcs in the ratio 2 : 5. What is the ratio of the measure of the angle between the secants to the measure of the intercepted arcs?
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fff Two tangents drawn to a circle from a point are at right angles to each other. What are the measures of the intercepted arcs? fff View Solution
fff Find the value of x. fff View Solution
fff Two tangents drawn from the same point makes an angle equal to the measure of that of one of the intercepted arcs. Find the measure of the angle between the tangents.
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fff Find the values of x and y. fff View Solution
fff Ratio of the two intercepted arcs made by two secants drawn from the same point to a circle is 1 : 2. What is the ratio of the measure of the angle between the secants to the measure of the smaller intercepted arc?
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fff Find the measure of AEC. fff View Solution
fff In fig.Find the value of y. fff View Solution
fff Find the value of x. fff View Solution
fff Two secants drawn from the same point to a circle make an angle of 30° between them. If the measure of the smaller intercepted arc made by the secants is 50°, then find the measure of the larger intercepted arc. fff View Solution
fff Chords AB¯ and CD¯ of a circle intersect at E. Measure of arc AC = 60°, mAEC = 80°. Find the measure of arc BD. fff View Solution
fff In a circle, the angle between 2 secants drawn from the same point to a circle is found to be one third of the larger intercepted arc. If the measure of the smaller intercepted arc is 30°, then what is the measure of the angle between the secants? fff View Solution
fff Is it possible that the measure of the larger intercepted arc made by two secants drawn from the same point to a circle is 2 times the angle between the secants?
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fff Is it possible that the measure of the angle between the two secants drawn from the same point to a circle is equal to the measure of the smaller intercepted arc? fff View Solution
fff Chords PQ¯ & RS¯ of a circle intersect at O.mPR = 2(mSQ), mSOQ = 60°. Find the measure of arc PR. fff View Solution
fff Find the measures of arc APC and arc BDC. fff View Solution
fff Smaller angle between two diameters of a circle is 20°. Measure of larger intercepted arc is
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fff Find the value of x in the figure shown. fff View Solution
fff In fig.Find the relation between y and z. fff View Solution
fff Two chords AB¯ and CD¯ of a circle intersect at E. The smaller angle between the chords is 70°. The measures of the corresponding intercepted arcs are in the ratio 3 : 2. Find the measures of the intercepted arcs AC and BD.
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fff Four chords AB¯, CD¯, AE¯ and CF¯ intersect. mANC = 40, measure of arc BD = 30. If mAMC = 45(mANC), then find the measure of arc EF.
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fff The ratio of the measure of the larger intercepted arc made by two secants (drawn from the same point to a circle) to the measure of the angle between the secants is 4 : 1. If the smaller intercepted arc measures 50°, then find the measure of the larger intercepted arc and the measure of the angle between the secants.
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fff What is the condition that the angle between two secants drawn from the same point to a circle becomes equal to one of the intercepted arcs? fff View Solution
fff ΔPQR is inscribed in the circle with center 'O'. Find mA + mB + mC. fff View Solution
fff A tangent is drawn from point A to a circle. A secant is also drawn from A such that it makes 30° with the tangent. If the measure of the smaller intercepted arc of the circle is 40°, then what is the measure of the larger intercepted arc (y)?
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fff Two circles with centers A and B intersect at M and N. mP = 75, mS = 83. Find mQ. fff View Solution
fff The measure of the angle between a tangent and a secant drawn to a circle from the same point is 60. The point of tangency and one of the points of intersection of the circle and the secant from the end points of a diameter of the circle. Find the measures of the intercepted arcs made by the secant and the tangent.
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fff OA and OB are tangents to the circle. Find the value of x. fff View Solution
fff CA and CB are tangents. Measure of the major arc AB = 240, mACB = ?
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