R S Aggarwal Solutions for Exercise 3: OBJECTIVE QUESTIONS

$\left|\begin{array}{ccc}x+1& x+2& x+4\\ x+3& x+5& x+8\\ x+7& x+10& x+14\end{array}\right|=?$

If $\left|\begin{array}{ccc}5& 3& -1\\ -7& x& 2\\ 9& 6& -2\end{array}\right|=0$, then $x=?$

The solution set of the equation $\left|\begin{array}{ccc}x& 3& 7\\ 2& x& 2\\ 7& 6& x\end{array}\right|=0$ is:

The solution set of the equation $\left|\begin{array}{ccc}x-2& 2x-3& 3x-4\\ x-4& 2x-9& 3x-16\\ x-8& 2x-27& 3x-64\end{array}\right|=0$ is:

The solution set of the equation $\left|\begin{array}{ccc}a+x& a-x& a-x\\ a-x& a+x& a-x\\ a-x& a-x& a+x\end{array}\right|=0$

The solution set of the equation $\left|\begin{array}{ccc}3x-8& 3& 3\\ 3& 3x-8& 3\\ 3& 3& 3x-8\end{array}\right|=0$ is 

The vertices of a triangle $ABC$ are $A(-2,4)$, $B(-2,6)$ and $C(5,4)$. The area of a triangle $ABC$ is

If the points $A(3,-2)$, $B(k,2)$ and $C(8,8)$ are collinear then the value of $k$ is