Equation of a Line Passing through 2 Points

Q.

The equation $\left|\begin{array}{ccc}5& x& 4y\\ 2& -5& -12\\ 1& 0& 3\end{array}\right|=21$ represents a –

1. A point on xy plane

2. A straight line

3. A plane

4. None of these

Q.

A straight line given by the equation  $\left|\begin{array}{ccc}x+3& y-1& 1\\ 7& -1& 1\\ -3& 9& 1\end{array}\right|=0$ passes through the point. 

1. (4, -1)

2. (-6, 0)

3. (6, 10)

4. (4, 0)

Q.

The equation $\left|\begin{array}{ccc}5& x& 4y\\ 2& -5& -12\\ 1& 0& 3\end{array}\right|=21$ represents a –

1. A point on xy plane

2. A straight line

3. A plane

4. None of these