" NCERT "quad [x+aquad x+2aquad x+3a],[x+2aquad x+3aquad x+4a=0],[x+4a]quad x+5aquad x+6a

det[[x+a,x+2a,x+3ax+2a,x+3a,x+4ax+4a,x+5a,x+6a]]=0

Prove that : |{:(x+a,x+2a,x+3a),(x+2a,x+3a,x+4a),(x+4a,x+5a,x+6a):}|=0

Prove that : |{:(x+a,x+2a,x+3a),(x+2a,x+3a,x+4a),(x+4a,x+5a,x+6a):}|=0

The solution of (x + a)/(x - 2a) = (x + 3a)/(x - 4a) is

Add 5x^2+x+6, 4x+3x^2-8 and 5-6x.

Add 2x^(2)+3x+6, 5x+2x^(2)-6 and 4-3x

Let Delta(x)=|[3,3x,3x^2+2a^2] , [3x, 3x^2+2a^2, 3x^3+6a^2x] , [3x^2+2a^2, 3x^3+6a^2x, 3x^4+12a^2x^2+2a^4]| then (a) Delta'(x) = 0 (b) Delta(x) is independent of x (c) int^1Delta(x)dx = 4a^6 (d) y=Delta(x) is a straight line

Solve 6x^5 -x^4 -43 x^3 +43 x^2 +x-6=0

Examine whether x + 2 is a factor of x^3+ 3x^2+ 5x + 6 and of 2x + 4.

Write down each of the following in exponential form: (i) 4a^3\ x\ \ 6a b^2\ x\ \ c^2 (ii) 5x y\ x\ 3x^2y\ x\ 7y^2 (iii) a^3x\ 3a b^2x\ 2a^2b^2