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Solve the following questions: (Any One) (1) O is the centre of a circle in which seg AB and seg AC are congruent chords. Radius OP is perpendicular to chond \( A B \) and radius OQ is perpendicular to chord AC If \( \angle P B A = 30 ^ { \circ } , \) show that seg \( P B \) is parallel to seg \( Q C \)

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Similar Questions
Q1
O is the centre of a circle in which AB and AC are congruent chords. Radius OP is perpendicular to chord AB and radius OQ is perpendicular to chord AC. If PBA=30, show that PB is parallel to QC.
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Q2
In fig. 4.34 seg OP seg AB and seg OQ CD, OP = OQ.
Then prove that chord AB chord CD.

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Q3
In the figure, O is the centre and seg AB is the diameter. At point C on the circle, tangent CD is drawn. Line BD is a tangent to the circle at point B. Show that seg OD chord AC.
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Q4
In the figure, points A, B and C are on seg OP, seg OQ and seg OR, respectively, such that AB PQ and AC PR. Show that BC QR.
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Q5
In the given figure O is the centre and seg AB is a diameter.At point C on the circle,the tangent CD is drawn.Line BD is a tangent to the circle at point B. Show that seg OD chord AC.
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