CBSE Class 10 Answered

 We cannot entertain more than 5 questions in a subject per day. In case of multiple questions within a query, please post each question individually and let us know where you are getting stuck so that we would be able to explain things better.

2/ A(0,0) and B(3,0), hence the length of the side of equilateral triangle, 3 units.

Let C(x,y) be the third vertex.

Length of the side, AC = (x² + y²)^1/2 = 3 i.e. x² + y² = 9.......(1)

and for side BC =  (x - 3)² + y² = 9 i.e. x² - 6x +9 + y² = 9 .......(2)

Subtracting (2) from (1),

gives, x = 3/2,

and hence y = 33/2

Regards,

Team,

TopperLearning.