Manipur Board Class 12 Elective English Question Paper 2019 with Answer Key (March 20)

BSEM Questions

• 1.

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

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

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• 4.

  If \( \cos A = \dfrac{3}{5} \), calculate \( \sin A \) and \( \tan A \).

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• 5.

  A metallic sphere of radius \(9\) cm is melted and recast to form a cylinder of radius \(3\) cm. Find the curved surface area of the cylinder.

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• 6.

  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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