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**Question 16: For what value of p the following set of equations will have no solution? [2015 : 1 Mark, Set-I]2x + 3y = 53x + py = 10Solution: **Given system of equations has no solution if the lines are parallel i.e., their slopes are equal

2/3 = 3/p

â‡’ p = 4.5

Determinant of matrix is not zero.

âˆ´ Rank is 2

Interchanging column 1 and column 2 and taking transpose,

Area of triangle is

= 215 + 150 + 550 = 915

Q

There fore P

The characteristic equation is,

So eigen values are,

Î» = 3.48, 13.53

= A

i.e. S

âˆ´ S is symmetric

Since (A - A

= A

i.e. D

So D is Skew-Symmetric.

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