1. Lengths of the perpendiculars from a point in the interior of an equilateral triangle on its sides are 3 cm, 4 cm and 5 cm. Area of the triangle is
(a) 48√3 cm^2
(b) 54√3 cm^2
(c) 72√3 cm^2
(d) 80√3 cm^2
2. The sides of a triangle are in the ratio 2 : 3 :4. The perimeter of the triangle is 18 cm. The area (in cm^2) of the triangle is
(a) 9
(b) 36
(c) √42
(d) 3√15
3. A parallelogram has sides 15 cm and 7 cm long. The length of one of the diagonals is 20cm. The area of the parallelogram is
(a) 42 cm^2
(b) 60 cm^2
(c) 84 cm^2
(d) 96 cm^2
4. Sides of a parallelogram are in the ratio 5 : 4. Its area is 1000 sq. units. Altitude on the greater side is 20 units. Altitude on the smaller side is
(a) 30 units
(b) 25 units
(c) 10 units
(d) 15 units
5. A square is of area 200 sq. m. A new square is formed in such a way that the length of its diagonal is √2 times of the diagonal of the given square. Then the area of the new square formed is
(a) 200√2 sq.m.
(b) 400√2 sq.m.
(c) 400 sq.m.
(d) 800 sq.m.
6. A copper wire is bent in the form of an equilateral triangle and has area 121√3 cm^2. If the same wire is bent into the form of a circle, the area (in cm^2) enclosed by the wire is (Take π=22/7)
(a) 364.5
(b) 693.5
(c) 346.5
(d) 639.5
7. The area of a triangle ABC is equal to area of square of side length 6 cm. What is the length of the altitude to AB where AB=9 cm ?
(a) 18 cm
(b) 14 cm
(c) 12 cm
(d) 8 cm
8. The area of a circle whose radius is 8 cm is trisected by two concentric circles. The ratio of radii of the concentric circles in ascending order is
(a) 1 : 2 : 3
(b) 2 : 3 : 5
(c) 1 : √2 ∶ √3
(d) √2 ∶ √3 ∶ √5
9. The area of a semi-circular field is 308 sq. m; then taking Take π=22/7, the length of the railing to surround it has to be
(a) 88 m
(b) 80 m
(c) 44 m
(d) 72 m
10. The areas of two circles are in the ratio 1 : 2. If the two circles are bent in the form of squares, what is the ratio of their areas?
(a) 1 : 2
(b) 1 : 3
(c) 1 : √2
(d) 1 : 4
Note : Answers will be updated soon..............
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