A.2, B.3 , C.$\sqrt{3}$-1 , D.$\sqrt{3}$+1

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2 .Two houses are collinear with the base of a tower and are at distance 3 m and 12 m from the base of the tower. The angles of elevation from these two houses of the top of the tower are complementary. What is the height of the tower?

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3 .A round balloon of unit radius subtends an angle of 90Ã‚Âº at the eye of an observer standing at a point, say A. What is the distance of the centre of the balloon from the point A?

A. $^1\over\sqrt{2}$ , B.$\sqrt{2}$ , C.2 , D.$^1\over2$

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4 .If the area of a circle, inscribed in an equilateral triangle is 4pcm 2 , then what is the area of the triangle?

A.$12\sqrt{3}$ $cm^2$ , B. $9\sqrt{3}$ $cm^2$ , C. $8\sqrt{3}$ $cm^2$ , D. $18cm^2$

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5 .The difference between the area of a square and that of an equilateral triangle on the same base is 1/4 cm 2 . What is the length of side of triangle?

a.$\left(4-\sqrt{3}\right)$$^{1/2}$cm , b.$\left(4+\sqrt{3}\right)$$^{1/2}$cm

c.$\left(4-\sqrt{3}\right)$$^{-1/2}$cm , d.$\left(4+\sqrt{3}\right)$$^{+1/2}$cm

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6 .If the diameter of a wire is decreased by 10%, by how much per cent (approximately) will the length be increased to keep the volume constant?

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7 .A cone is inscribed in a hemisphere such that their bases are common. If C is the volume of the cone and H that of the hemisphere, then what is the value of C : H?

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8 .

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9 .

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10 .What is the number of points in the plane of a DABCwhich are at equal distance from the vertices of the triangle?

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