MCQs of Determinants

Showing 11 to 20 out of 83 Questions

11.

I f |\begin{matrix} a & b & a x + b y \\ b & c & b x + c y \\ a x + b y & b x + c y & 0 \end{matrix}| = 0 a n d a x^{2} + 2 b x y + c y^{2} \neq 0 t h e n_________

12.

I f |\begin{matrix} 1 & 2 & 5 \\ 1 & x & 5 \\ 3 & - 1 & 2 \end{matrix}| = 0, t h e n x =_______

13.

T h e r o o t o f |\begin{matrix} 1 + x & 1 - x & 1 - x \\ 1 - x & 1 + x & 1 - x \\ 1 - x & 1 - x & 1 + x \end{matrix}| = 0 a r e______

14.

I f |\begin{matrix} x & - 6 & - 1 \\ 2 & - 3 x & x - 3 \\ - 3 & 2 x & x + 2 \end{matrix}| = 0, t h e n x =______

15.

|\begin{matrix} \sqrt{14} + \sqrt{3} & \sqrt{20} & \sqrt{5} \\ \sqrt{15} + \sqrt{28} & \sqrt{25} & \sqrt{10} \\ 3 + \sqrt{70} & \sqrt{15} & \sqrt{25} \end{matrix}| =_____

16.

I f |\begin{matrix} a & b & a x + b \\ b & c & b x + c \\ a x + b & b x + c & 0 \end{matrix}| = 0, t h e n a, b, c a r e i n_____

17.

if |\frac{2}{1} \frac{3}{4 x}| = |\frac{2 x}{5} \frac{- 1}{x}|, then value of x =_____

18.

|\begin{matrix} 2 & - 1 & 1 \\ 3 & - 2 & 1 \\ 9 & - 5 & 4 \end{matrix}| =_____

19.

|\begin{matrix} 0 & a b^{2} & a c^{2} \\ a^{2} b & 0 & b c^{2} \\ a^{2} c & b^{2} c & 0 \end{matrix}| =_____

20.

|\begin{matrix} a & a + b & a + b + c \\ 3 a & 4 a + 3 b & 5 a + 4 b + 3 c \\ 6 a & 9 a + 6 b & 11 a + 9 b + 6 c \end{matrix}| =_____

Showing 11 to 20 out of 83 Questions