Q11 of 45 Page 1

Using properties of determinants, prove the following:

Given,

Applying R₁→R₁ + R₂ + R₃ , then we get

Taking (5x + 4) as common from R₁

Applying C₁→C₁ - C₂ , then

Now, Expand along C₁

= RHS

Hence, proved

Write the value of

Find the value of a and b such that the following function f(x) is a continuous function:

f (x) = 5 x less than equal to 2 ax+b 2<x<10 21 x geater than or equal to 10

Solve the following differential equation:

(1 + y²) (1 + log x) dx + x dy = 0