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Q:

In the given figure, a circle touches the sides of the quadrilateral PQRS. The radius of the circle is 9 cm. RSP = SRQ = 60 deg and PQR = QPS = 120 deg. What is the perimeter (in cm) of the quadrilateral?

A) 36√3	B) 24√3
C) 48√3	D) 32

Answer & Explanation Answer: C) 48√3

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Filed Under: Simplification
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Q:

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

A) 240	B) 120
C) 60	D) 90

Answer & Explanation Answer: C) 60

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Filed Under: Area
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Q:

In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

A) 6.3	B) 5.8
C) 6	D) 7

Answer & Explanation Answer: D) 7

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Q:

In the given figure, if QR/XY = 14/9 and PY = 18 cm, then what is the value (in cm) of PQ?

A) 28	B) 18
C) 21	D) 24

Answer & Explanation Answer: A) 28

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Q:

In a triangle PQR, ∠PQR = 90 deg, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

A) 9	B) 4
C) 8	D) 6

Answer & Explanation Answer: B) 4

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Q:

In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR ?