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Q:

Triangle PQR is inscribed in the circle whose radius is 14 cm. If PQ is the diameter of the circle and PR = 10 cm, then what is the area of the triangle PQR?

A) 196 B) 30√19
C) 40√17 D) 35√21
 
Answer & Explanation Answer: B) 30√19

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Q:

What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?

A) 2 B) 4
C) 3 D) 6
 
Answer & Explanation Answer: B) 4

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Filed Under: Volume and Surface Area
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Q:

In the given figure, ∡QRU = 72°, ∡TRS = 15°, ∡PSR = 95° , then what is the value (in deg) of ∡PQR?

A) 85 B) 95
C) 75 D) 90
 
Answer & Explanation Answer: B) 95

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Q:

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

A) 40 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: C) 50

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Q:

PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?

 

A) 18 B) 9
C) 20 D) 12
 
Answer & Explanation Answer: C) 20

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Q:

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm, then what is the value (in cm) of OS?

A) 6 B) 5
C) 4 D) 3
 
Answer & Explanation Answer: D) 3

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Q:

In the given figure, ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle ?

A) 32/√3 B) 32√3
C) 64/√3 D) None
 
Answer & Explanation Answer: D) None

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Q:

ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

A) 1 : 4 B) 1 : 2
C) 1 : 8 D) 1 : 16
 
Answer & Explanation Answer: D) 1 : 16

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