Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Find the correct option regarding given points (1, 2), (2, 4)

Question

Find the correct option regarding given points $(1, 2), (2, 4)$ and $(3, 6)$

Non-colllinear

Exists on parallel lines

Collinear

Exists on perpendicular lines

Views: 693 students

Found 6 tutors discussing this question

Ava Discussed

Find the correct option regarding given points

(1, 2), (2, 4)

and

(3, 6)

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Area of the triangle with vertices

(x_{1}, y_{1})

(x_{2}, y_{2})

and

(x_{3}, y_{3})

is:

A = \frac{1}{2} ∣ x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{2}) + x_{3} (y_{1} - y_{2}) ∣

Here the points are

(1, 2)

(2, 4)

and

(3, 6)

, therefore, the area of the triangle is:

A = \frac{1}{2} ∣ x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2}) ∣ A = \frac{1}{2} ∣ 1 (4 - 6) + 2 (6 - 2) + 3 (2 - 4) ∣ \Rightarrow A = \frac{1}{2} ∣ 1 (- 2) + 2 (4) + 3 (- 2) ∣ \Rightarrow A = \frac{1}{2} ∣ - 2 + 8 - 6 ∣ \Rightarrow A = \frac{1}{2} ∣ - 8 + 8 ∣ \Rightarrow A = 0

Since the area of the triangle is zero,

Hence, the points are collinear.

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Find the correct option regarding given points $(1, 2), (2, 4)$ and $(3, 6)$
Answer Type	Text solution:1
Upvotes	150