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Q:

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is

A) 2√3 cm	B) 3√2 cm
C) 4√3 cm	D) √3 cm

Answer & Explanation Answer: A) 2√3 cm

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Filed Under: Area
Exam Prep: Bank Exams

Q:

ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is

A) 70°	B) 110°
C) 80°	D) 55°

Answer & Explanation Answer: A) 70°

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is

A) 2√13 cm	B) 5√3 cm
C) 4√6 cm	D) 6√5 cm

Answer & Explanation Answer: C) 4√6 cm

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Q:

In ΔABC, AC = BC and ∠ABC = 50°, the side BC is produced to D so that BC = CD then the value of ∠BAD is

A) 80°	B) 40°
C) 90°	D) 50°

Answer & Explanation Answer: C) 90°

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Q:

PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS =

A) 65°	B) 130°
C) 115°	D) 55°

Answer & Explanation Answer: C) 115°

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

A) 2√2 cm	B) 3√2 cm
C) 2√3 cm	D) 3√3 cm

Answer & Explanation Answer: C) 2√3 cm

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Filed Under: Area
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Q:

If $2 r = h + \sqrt{r^{2} + h^{2}}$ , then the ratio of r:h is

A) 1 : 2	B) 2 : 3
C) 4 : 3	D) 3 : 5

Answer & Explanation Answer: C) 4 : 3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

Q:

If x = 1 + √2 + √3 , then the value of $2 x^{4} - 8 x^{3} - 5 x^{2} + 26 x - 28$ is

A) 2√2	B) 3√3
C) 5√5	D) 6√6

Answer & Explanation Answer: D) 6√6

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Filed Under: Simplification
Exam Prep: Bank Exams

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