What is the relation between the two determinants f(x) = ( begin{vmat – McqOptions

MCQOPTIONS

1.	What is the relation between the two determinants f(x) = ( begin{vmatrix} a^2 & ab & ac ab & -b^2 & bc ac & bc & -c^2 end {vmatrix} ) and g(x) = ( begin{vmatrix}0 & c & b c & 0 & a b & a & 0 end {vmatrix} )?
A.	f(x) = g(x)
B.	f(x) = (g(x))<sup>2</sup>
C.	g(x) = 2f(x)
D.	g(x) = (f(x))<sup>2</sup>
Answer» C. g(x) = 2f(x)

Discussion

No Comment Found

Related MCQs

What is the relation between the two determinants f(x) = ( begin{vmatrix} a^2 & ab & ac ab & -b^2 & bc ac & bc & -c^2 end {vmatrix} ) and g(x) = ( begin{vmatrix}0 & c & b c & 0 & a b & a & 0 end {vmatrix} )?
What will be the value of x if ( begin{vmatrix}2-x & 2 & 3 2 & 5-x & 6 3 & 4 & 10-x end {vmatrix} ) = 0?
Which one is correct, the following system of linear equations 2x 3y + 4z = 7, 3x 4y + 5z = 8, 4x 5y + 6z = 9 has?
The co-ordinates of the vertices of a triangle are [m(m + 1), (m + 1)], [(m + 1)(m + 2), (m + 2)] and [(m + 2)(m + 3), (m + 3)]. Then which one among the following is correct?
Which one among the following is correct if x, y, z are eliminated from, ( ( frac{bx}{y+z} ) = a, ( frac{cy}{z+x} ) = b, ( frac{az}{x+y} ) = c)?
Let, and be real. Find the set of all values of for which the system of equation x + sin *y + cos *z = 0, x + cos * y + sin * z = 0 , -x + sin *y cos * z = 0 has a non-trivial solution. For = 1 what are all values of ?
If, S<sub>i</sub> = a<sup>i</sup> + b<sup>i</sup> + c<sup>i</sup> then what is the value of ( begin{vmatrix}S0 & S1 & S2 S1 & S2 & S3 S2 & S3 & S4 end {vmatrix} )?
What will be the value of f(x) = ( begin{vmatrix}p & 2 i & i + 1 2 + i & q & 3 + i 1 i & 3 i & r end {vmatrix} )?
If f(x) = ( begin{vmatrix}1 & a & bc 1 & b & ca 1 & c & ab end {vmatrix} ) = ( begin{vmatrix}1 & a & a^2 1 & b & b^2 1 & c & c^2 end {vmatrix} ) then which one among the following is correct?