Excentre

Q. If $A(-5,3),B(-3,3)$ and $C(-4,4)$ represents vertices of a triangle, then which of the following option(s) are correct?

1. Incentre of $△ABC$ is $(-4,2+\sqrt{2})$
2. Orthocentre centre of $△ABC$ is $(-4,4)$
3. Excentre opposite to vertex $A$ is $(\sqrt{2}-4,4)$
4. Excentre opposite to vertex $C$ is $(-4,2-\sqrt{2})$

Q. If the vertices of a triangle are $A(2,4),B(2,6)$ and $C(2+\sqrt{3},5)$, then which of the following is/are true?

1. Coordinates of the excentre opposite to vertex $A$ is $(2+\sqrt{3},7)$
2. Coordinates of the excentre opposite to vertex $B$ is $(2-\sqrt{3},3)$
3. Coordinates of the excentre opposite to vertex $C$ is $(2-\sqrt{3},5)$
4. The area of $△ABC$ is $\sqrt{3}\text{sq. units}$