The points $A(9,0), B(9,6), C(-9,6)$ and $D(-9,0)$ are the vertices of a

Name the type of quadrilateral formed,if any,by the following points,and give reasons for your answer: $(-1,-2), (1,0), (-1,2), (-3,0)$.

Find the circumcentre of $\Delta ABC$ with vertices $A(-1, 1)$,$B(0, -4)$,and $C(-1, -5)$.

If $P (2, -3)$ and $Q (7, 9)$,then the length of $\overline{PQ}$ is ...........

Ayush starts walking from his house to his office. Instead of going to the office directly,he goes to a bank first,from there to his daughter's school,and then reaches the office. What is the extra distance travelled by Ayush in reaching his office (in $, km$)? (Assume that all distances covered are in straight lines).
If the house is situated at $(2,4)$,the bank at $(5,8)$,the school at $(13,14)$,and the office at $(13,26)$,where coordinates are in $km$.

The figure shows the arrangement of desks in a classroom. Ashima,Bharti,and Camella are seated at $A (3, 1)$,$B (6, 4)$,and $C (8, 6)$ respectively. Do you think they are seated in a line? Give reasons for your answer.