Determinants Te...

If $$\displaystyle \begin{vmatrix} 2 & -4   \\ 9 & d-3   \end{vmatrix}=4$$ then $$d=$$

The value of $$\displaystyle \begin{vmatrix}a - b - c & 2a & 2a\\ 2b & b - c- a & 2b\\ 2c & 2c & c- a -b\end{vmatrix}$$ will be

If the coordinates of the vertices of a triangle are (0,0) , (0,2) and(3,1) , then area of the triangle is 

Find the value of K if A(8, 1), B(K, -4), C(2, -5) are collinear :

What is the value of y if $$(y, 3), (-5, 6)$$ and $$(-8, 8)$$ are collinear?

Which of the following points are collinear?

Find the value of K if (2, 3), (4, K) and (6, -3) are collinear :

If $$\displaystyle \left[ \begin{matrix} \cos { \theta  }  \\ -\sin { \theta  }  \\ 0 \end{matrix}\begin{matrix} \sin { \theta  }  \\ \cos { \theta  }  \\ 0 \end{matrix}\begin{matrix} 0 \\ 0 \\ 1 \end{matrix} \right] $$ then the value of $$\displaystyle { a }_{ 11 }{ A }_{ 11 }+{ a }_{ 12 }{ A }_{ 12 }+{ a }_{ 13 }{ A }_{ 13 }=$$ where $$\displaystyle { A }_{ 11 },{ A }_{ 12 }{ A }_{ 13 }$$ are cofactors of $$\displaystyle { a }_{ 11 },{ a }_{ 12 },{ a }_{ 13 }$$ respectively

If $$z=\begin{vmatrix} 1 & 1+2i & -5i \\ 1-2i & -3 & 5+3i \\ 5i & 5-3i & 7 \end{vmatrix} $$, then $$i=\left( \sqrt { -1 }  \right) $$

Find the correct option regarding given points $$(1, 2), (2, 4)$$ and $$(3, 6)$$