Manipur Board Class 12 Mathematics Question Paper 2022 with Answer Key (April 25)

BSEM Questions

• 1.

  State and prove Basic Proportionality Theorem.

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• 2.

  Define mode of a frequency distribution.

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• 3.

  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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• 4.

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

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• 5.

  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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• 6.

  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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