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3 C 31198

If log g x=, find x.

Define the conditions for maximum of a function.

When two matrices will become equal ?

-3 4 2
Ifthe matrix A=| 7 0 5]. Write AT.
6 -4 -1
Define orthogonal matrix.

2
ರಾಜಾ ತರಾನೆ ಡೂ
ಸ .

Define Geometric Mean.
The demand and supply curves are D = 19 — 5p and S = 5p — 1. Find the equilibrium price.
Find the derivative of x cos x + 2e* with respect to x.
Find the roots of 2x? — ‏عي5‎ + 2 0.
Given the regression lines y on x as 12x + 21y + 10 = 0. Obtain the regression co-efficient of y on x.
4 (10 x 2 = 20 marks)
Section C (Short Essay/Problem Type)

Answer any six questions.
Each one carries 5 marks.

४५ =

8 4
3 न; B= | 6 | verify whether AB = BA.

Define coefficient of variation. Obtain coefficient of variation of 20, 22, 19, 22, 23.

Find the equilibrium price and quantity, if the demand and supply equations are respectively,
2p = 14-x and 12p = 14+ x.

Describe the various measures of dispersion.

Obtain Pearson’s measure of skewness for a group of 10 items with their sum 452, sum of squares
24270 and the mode 43.7.

Explain the method of Lorenz curve and Gini Co-efficient.

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