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Geometry Practice Questions & Answers

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PQRS is a cyclic quadrilateral. PR and QS intersect at T. If ∠SPR = 40° and ∠PQS = 80°, then what is the value (in degrees) of ∠PSR?

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PQRS is a cyclic quadrilateral. PR and QS intersect at T. If ∠SPR = 40° and ∠PQS = 80°, then what is the value (in degrees) of ∠PSR?
1). 60°
2). 40°
3). 80°
4). 100°

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D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

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D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
1). 90
2). 98
3). 94
4). 86

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If the length of a chord of a circle is 24 cm and is at a distance of 9 cm from the centre of the circle, then the radius of the circle (in cm) is:

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If the length of a chord of a circle is 24 cm and is at a distance of 9 cm from the centre of the circle, then the radius of the circle (in cm) is:
1). 15
2). 16
3). 17
4). 34

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PQRS is a rhombus. PQ is produced to F and QP is produced to E such PQ = EP = QF. When ES and FR produced meet at G, then find the ∠EGF

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PQRS is a rhombus. PQ is produced to F and QP is produced to E such PQ = EP = QF. When ES and FR produced meet at G, then find the ∠EGF
1). 75°
2). 60°
3). 90°
4). 120°

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In Δ ABC, if AD ⊥ BC, then AB2 + CD2 is equal to

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In Δ ABC, if AD ⊥ BC, then AB2 + CD2 is equal to
1). 2BD2
2). BD2 + AC2
3). 2AC2
4). None of these