Manipur Board Class 12 Geology Question Paper 2018 with Answer Key (Febraury 23, 2018)

BSEM Questions

• 1.

  Find the area of a circle whose radius is 7 cm.

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• 2.

  Write down the formula to find the area of a triangle whose vertices are \((x_1,y_1)\), \((x_2,y_2)\) and \((x_3,y_3)\).

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• 3.

  If three consecutive vertices of a parallelogram are \( A(1,-2) \), \( B(3,6) \) and \( C(5,10) \), find its fourth vertex.

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• 4.

  A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height \(h\). At a point on the plane, the angle of elevation of the bottom of the flagstaff is \(\alpha\) and that of the top of the flagstaff is \(\beta\). Prove that the height of the tower is \(\dfrac{h\tan\alpha}{\tan\beta-\tan\alpha}\).

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• 5.

  The ratio of incomes of two persons is \(9:7\) and the ratio of their expenditures is \(4:3\). If each of them saves Rs. \(5000\) per month, find their monthly incomes.

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• 6.

  Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

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