Mathematics

West Bengal Board · English · Class 12 · 46 questions with solutions

Q11VSAMEDIUM

show that the vectors and are the sides of a right - angled triangle.

Q12LAMEDIUM

Solve the following LPP by the graphical method.

Min. Z = 3x + y

Subject to the constraints

2x + y

x - y

and x

Solution:

and

Q13SAMEDIUM

Find graphically the feasible region, if any for the following inequations:

Solution:

Q14LAMEDIUM

Find the optimal solution of the above LPP and also find the value of from the graph of feasible region.

Solution:

(4, 0) and

Q15SAMEDIUM

Find the optimal solution of the above LPP and the maximum value of Z.

Solution:

(0, 3), 9

Q16LAMEDIUM

Solve:

Solution:

y = x log

Q17VSAMEDIUM

Solve:

Solution:

Q18LAMEDIUM

Calculate the area enclosed by the ellipse 4 and the x - axis.

Solution:

3 square units

Q19VSAMEDIUM

Find the area in the fourth quadrant bounded by the curve y = and the coordinate axes.

Solution:

12 square units

Q20LAMEDIUM

A straight line in the xy - plane makes an angle with y - axis. find the direction cosines of the straight line.

Solution:

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