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Prove that Delta=|[a+bx, c+dx, p+qx],[ax...

Prove that `Delta=|[a+bx, c+dx, p+qx],[ax+b, cx+d, px+q],[u ,v, w]|=(1-x^2)|[a, c, p],[ b, d, q],[ u, c, w]|`

A

`|(a,c,p),(b,d,q),(u,v,w)|`

B

`|(a,c,p),(d,b,q),(w,v,u)|`

C

`(1-x^(2))|(a,c,p),(b,d,q),(u,v,w)|`

D

`(x^(2)-1)|(a,c,p),(b,d,q),(u,v,w)|`

Text Solution

Verified by Experts

The correct Answer is:
C
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