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Q:

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

A) 3 cm B) 4 cm
C) 5 cm D) 2 cm
 
Answer & Explanation Answer: B) 4 cm

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Filed Under: Volume and Surface Area
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Q:

If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is

A) 100° B) 180°
C) 80° D) 200°
 
Answer & Explanation Answer: C) 80°

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Q:

Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is

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

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Q:

ΔABC is an isosceles right angled triangle having ∠C = 90°. If D is any point on AB, then AD2+ BD2 is equal to

A) CD2 B) 2CD2
C) 3CD2 D) 4CD2
 
Answer & Explanation Answer: B) 2CD2

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Q:

In a right angled triangle ΔDEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

A) 3 cm B) 4 cm
C) 6 cm D) 12 cm
 
Answer & Explanation Answer: C) 6 cm

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Q:

ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ∠DBC = 35°, Then ∠AED measures

A) 35° B) 45°
C) 55° D) 90°
 
Answer & Explanation Answer: C) 55°

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Q:

If x, y, z are the three factors of a3 -7a - 6, then value of x+y+z will be

A) 3a B) 3
C) 6 D) a
 
Answer & Explanation Answer: A) 3a

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Q:

If ax + by = 1 and bx + ay  = 2aba2+b2 then x2+y2a2+b2 is equal to

A) 1 B) 2
C) 0.5 D) 0
 
Answer & Explanation Answer: A) 1

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