Question 513 Marks
$\square$ABCD is a parallelogram. Side BC intersects circle at point P. Prove that DC = DP.
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3 Marks Question
Question 523 Marks
Seg AB and seg AD are the chords of the circle. C is a point on tangent of the circle at point A. If m(arc APB) 80° = and $\angle$BAD = 30°. Then find (i) $\angle$BAC (ii) m(arc BQD).
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Secants containing chords RS and PQ of a circle intersect each other in point A in the exterior of a circle. If m(arc PCR) = 26° and m(arc QDS) = 48°, then find (1) $\angle$AQR (2) $\angle$SPQ (3) $\angle$RAQ.
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Secant AC and secant AE intersects in point A. Points of intersections of the circle and secants are B and D respectively. If CB = 5, AB = 7, EA = 20. Determine ED - AD.
Question 553 Marks
In the adjoining figure, point O is the centre of the circle. Line PB is a tangent and line PAC is a secant. Find PA × PC if OP = 25 and radius is 7.
Question 563 Marks
In the adjoining figure, chord AD $\cong$ chord BC. m(arc ADC) = 100°, m(arc CD) = 60°. Find m(arc AB) and m(arc BC).
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Chords AB and CD of a circle intersect in point Q in the interior of a circle of as shown in the figure. If m(arc AD) = 20°, and m(arc BC) = 36°, then find $\angle$BQC.
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A circle with centre P. arc AB = arc BC and arc AXC = 2 arc AB. measure of arc AB, arc BC and arc AXC. Prove chord AB $\cong$ chord BC.
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