Ans: (a) (i) , (ii) (iii) (iv) (b) No
-
- Since
is parallel to , then for some , we haveBy comparing the components of both sides, we have
, we haveSub.
into , we haveSub.
into , we have - The required area
- This is out of syllabus after 2022.
Sketch a graph according to the question.
The required volume
- Let
be the shortest distance from to .Therefore, the shortest distance from
to is .
- Since
- Let
be the mid-point of . If is the circumcentre of , then must be the perpendicular bisector of .Consider
, we haveHence, we have
Also, we have
Consider
, by the section formula, we haveHence, we have
Therefore,
is not perpendicular to .Hence,
is not the perpendicular bisector of .Hence,
is not the circumcentre of .