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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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Filed Under: Area
Exam Prep: Bank Exams

Q:

PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm .Then the length of the line joining the mid points of the sides AB and BC is

A) 4√2 cm B) 5 cm
C) 6 cm D) 10 cm
 
Answer & Explanation Answer: B) 5 cm

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

Q:

In a triangle ABC, ∠A = 70°, ∠B = 80° and D is the incentre of ΔABC. ∠ACB = 2x° and ∠BDC = y°. The values of x and y, respectively are

A) 15, 130 B) 15, 125
C) 35, 40 D) 30, 150
 
Answer & Explanation Answer: B) 15, 125

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Filed Under: Volume and Surface Area
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Q:

The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: π = 22/7)

A) 50 1/7 sq.cm B) 50 2/7 sq.cm
C) 75 1/7 sq.cm D) 75 2/7 sq.cm
 
Answer & Explanation Answer: B) 50 2/7 sq.cm

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Q:

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in cm2 is

A) 20 B) 10
C) 4√5 D) 10√2
 
Answer & Explanation Answer: A) 20

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Q:

The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be α and β (α>β). The height of the tower is h unit. A possible distance (in the same unit) between the points is

A) h(cotβ-cotα)cos(α+β) B) h(cotα - cotβ)
C) h(tanβ - tanα)tanα tanβ D) h(cotα+cotβ)
 
Answer & Explanation Answer: D) h(cotα+cotβ)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

A) 60(√3+1) m B) 30(√3-1) m
C) 30(√3+1) m D) 60(√3-1) m
 
Answer & Explanation Answer: C) 30(√3+1) m

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Filed Under: Simplification
Exam Prep: Bank Exams