NCERT Class 12-Mathematics: Exemplar Chapter – 4 Determinants Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-12 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.

Question 9:

Answer:

We have to prove,

Hence proved.

Question 10:

If then prove that

Answer:

We have,

Hence proved.

Question 11:

If the co-ordinates of the vertices of an equilateral triangle with sides of length are , then

Answer:

Since, we know that area of a triangle with vertices and is

Given by

We know that, area of an equilateral triangle with side a,

From Eq. (i) and (ii) ,

Hence proved

Developed by: