MEDIUM
12th CBSE
IMPORTANT
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Find the value of the x2-x+1x-1x+1x+1 at x=1.

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Important Questions on Determinants

MEDIUM
12th CBSE
IMPORTANT

a+xyzxa+yzxyz+z=a2(k). Find k.

MEDIUM
12th CBSE
IMPORTANT

0xy2xz2x2y0yz2x2zzy20=kx3y3z3k=?

HARD
12th CBSE
IMPORTANT

Using the properties of determinants, evaluate:

3x-x+y-x+zx-y3yz-yx-zy-z3z

MEDIUM
12th CBSE
IMPORTANT

Using the properties of determinants, evaluate:

x+4xxxx+4xxxx+4

HARD
12th CBSE
IMPORTANT

If a-b-c2a2a2bb-c-a2b2c2cc-a-b=(a+b+c)k. Find k.

MEDIUM
12th CBSE
IMPORTANT

Using the properties of determinants, prove that:

y2z2yzy+zz2x2zxz+xx2y2xyx+y=0

MEDIUM
12th CBSE
IMPORTANT

Using the properties of determinants, prove that:

y+zzyzz+xxyxx+y=4xyz

MEDIUM
12th CBSE
IMPORTANT

Using the properties of determinants, prove that:

a2+2a2a+112a+1a+21331=(a-1)3