Manipur Board Class 12 Alternative English Question Paper 2020 with Answer Key (Febraury 20)

BSEM Questions

• 1.

  Find the area of the quadrilateral whose vertices are \( (1,1) \), \( (3,4) \), \( (5,-2) \) and \( (4,-7) \) taken in order.

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• 2.

  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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• 3.

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

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• 4.

  Show that the square of an odd integer is of the form \( 8k + 1 \).

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• 5.

  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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• 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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