Manipur Board Class 12 Hmar Question Paper 2019 with Answer Key (February 21)

BSEM Questions

• 1.

  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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• 2.

  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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• 3.

  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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• 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 number of days within which the stock exchange is supposed to resolve dispute at their end is

  • 10
    
  • 15
    
  • 20
    
  • 30
    
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• 6.

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

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