If `C = 2 cos theta`, then the value of the determinant `Delta = |(C,1,0),(1,C,1),(6,1,c)|`, is

If C=2cos theta , then the value of the determinant D=|(C,1,0),(1,C,1),(6,1,C)| is -

Without expanding evaluate the determinant "Delta"=|(1, 1, 1),(a, b, c),( a^2,b^2,c^2)| .

Without expanding evaluate the determinant "Delta"=|(1, 1, 1),(a, b, c),( a^2,b^2,c^2)| .

" 0.The value of the determinant "|[1,x,x^(2)],[1,b,b^(2)],[1,c,c^(2)]|" is: "

If a,b,c are unequal then what is the condition that the value of the following determinant is zero Delta =|(a,a^2,a^3+1),(b,b^2,b^3+1),(c,c^2,c^3+1)|

If a,b,c are unequal then what is the condition that the value of the following determinant is zero Delta =|(a,a^2,a^3+1),(b,b^2,b^3+1),(c,c^2,c^3+1)|

In a Delta ABC , a, b, c are sides and A, B, C are angles opposite to them, then the value of the determinant |(a^(2),b sin A,c sin A),(b sin A,1,cos A),(c sin A,cos A,1)| , is

In a Delta ABC , a, b, c are sides and A, B, C are angles opposite to them, then the value of the determinant |(a^(2),b sin A,c sin A),(b sin A,1,cos A),(c sin A,cos A,1)| , is

The greatest value of n for which the determinant Delta = |(1,1,1),(.^(n)C_(1),.^(n+3)C_(1),.^(n+6)C_(1)),(.^(n)C_(2),.^(n+3)C_(2),.^(n+6)C_(2))| is divisible by 3^(n) , is