Question

if a is not equal to b is not equal to 0 then show that points (a,a^2), (b,b^2) and (0,0) are not collinear

Answer 1

this point are not collinear

Answer 2

Answer:

the given points are not collinear

Step-by-step explanation:

⇒  WE KNOW THAT:

area of a triangle = 1/2 [x 1 ( y 2 - y 1 ) + x 2 ( y 1 - y 3 ) +( y 3 - y 2 )

∴ so according to the question:

=  Area = 1/2 [ a ( b^2 - 0) + b ( 0 - a^2 ) + 0 (a^2 - b^2 )

= 1/2 ( a b^2 -  b a^2)

this can never be zero a ≠ b≠ 0

∴  these points can never be collinear