MCQs of Determinants

Showing 51 to 60 out of 83 Questions

51.

if A = |\begin{matrix} - 1 & 2 & 4 \\ 3 & 1 & 0 \\ - 2 & 4 & 2 \end{matrix}| and B = |\begin{matrix} - 2 & 4 & 2 \\ 6 & 2 & 0 \\ - 2 & 4 & 8 \end{matrix}|, then_____.

52.

The area of the triangle whose vertices are (11, 8),(3, 2),(8, 12) is _____unit

53.

If |\begin{matrix} 5 & 4 & 8 \\ x - 3 & - 8 & - 16 \\ 3 & 9 & 4 \end{matrix}| = 0 then x =

_____

54.

The value of |\begin{matrix} 1 & a & b \\ 1 & a + b & b \\ 1 & a & a + b \end{matrix}| is

_____

55.

|\begin{matrix} y + z & x & x \\ y & z + x & y \\ z & z & x + y \end{matrix}| = kxyz, then k =

_____

56.

If |\begin{matrix} 1 & 2 & 3 \\ 2 & - a & - 1 \\ 5 & 10 & 2 \end{matrix}| = 0 then a =

_____

57.

|\begin{matrix} 1 & 2 & 3 \\ 0 & cosx & sinx \\ 0 & sinx & cosx \end{matrix}| =

_____

58.

If |\begin{matrix} 1 & 2 & 1 \\ 2 & - x & 2 \\ - 3 & - 3 & x \end{matrix}| = 0, then x =

_____

59.

|\begin{matrix} ka & k^{2} + a^{2} & 1 \\ kb & k^{2} + b^{2} & 1 \\ kc & k^{2} + c^{2} & 1 \end{matrix}| =

_____

60.

If x, y, z \in R^{+}, then |\begin{matrix} 1 & {\log_{x}}^{y} & {\log_{x}}^{z} \\ {\log_{y}}^{x} & 1 & {\log_{y}}^{z} \\ {\log_{z}}^{x} & {\log_{z}}^{y} & 1 \end{matrix}| =

_____

Showing 51 to 60 out of 83 Questions