1.

Determine whether the given points are collinear. (1) A(0,2) , B(1,-0.5), C(2,-3)no spam​

Answer»

{\huge{\underline{\boxed{\purple{\mathfrak{Question}}}}}}

Determine WHETHER the given points are collinear.

A(0,2) B(1,-0.5) C(2,3)

⠀⠀⠀⠀⠀⠀⠀⠀⠀

{\huge{\underline{\boxed{\pink{\mathfrak{Answer}}}}}}

A(0,2), B(1,-0.5), C(2,-3)

⠀⠀⠀⠀⠀⠀⠀⠀⠀

• SLOPE of AB =

\frac{ - 0.5 - 2}{1 - 0} = \frac{ - 2.5}{1} = - 2.5

⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Slope of BC =

\frac{ - 3 - ( - 0.5)}{2 - 1} = \frac{ - 2.5}{1} = - 2.5

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

So, the slope of AB = slope of BC.

→ Point B LIES on both the lines.

HENCE, the given points are collinear.

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀ ⠀✨HOPE IT HELPS✨


Discussion

No Comment Found

Related InterviewSolutions