Manipur Board Class 12 Biotechnology Question Paper 2017 with Answer Key (April 7, 2017 )

BSEM Questions

• 1.

  State and prove Basic Proportionality Theorem.

  View Solution

  ---

• 2.

  Show that\( a^3 + b^3 + c^3 - 3abc = \dfrac{1}{2}(a+b+c)\left\{(a-b)^2 + (b-c)^2 + (c-a)^2\right\}\)

  View Solution

  ---

• 3.

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

  View Solution

  ---

• 4.

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

  View Solution

  ---

• 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 \(\dfrac{h\tan\alpha}{\tan\beta-\tan\alpha}\).

  View Solution

  ---

• 6.

  If three consecutive vertices of a parallelogram are \( A(1,-2) \), \( B(3,6) \) and \( C(5,10) \), find its fourth vertex.

  View Solution