Manipur Board Class 12 Mao-La Question Paper 2017 with Answer Key

BSEM Questions

• 1.

  State and prove Basic Proportionality Theorem.

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• 2.

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

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• 3.

  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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• 4.

  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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• 5.

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

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• 6.

  If \(x, y, z\) are real numbers, \(x \neq 0\), and \(xy = xz\), prove that \(y = z\).

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