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JEE Main 201510 AprilOnline
Exam
JEE Main
Year
2015
Date
10 April
Mode
Online
Subject
Mathematics
Chapter
Straight Lines

JEE Main 2015 · 10 April · Online · Mathematics · Straight Lines

The points (0, (8)/(3)), (1, 3) and (82, 30)

The points (0,83),(1,3)\left(0, \dfrac{8}{3}\right), \left(1, 3\right) and \left(82, 30\right)

Options

  1. Aform an obtuse angled triangle
  2. Bform an acute angled triangle
  3. Clie on a straight line
  4. Dform a right angled triangle

Correct answer

C. lie on a straight line

Step-by-step solution

The points, AA\left(0, \dfrac{8}{3}\right), B(1,3),C(82,30)\left(1, 3\right), C\left(82, 30\right) are collinear, as slope of AB=AB =slope of BC,BC, i.e.,

3−831−0=30−382−1=13\dfrac{3 - \dfrac{8}{3}}{1 - 0} = \dfrac{30 - 3}{82 - 1} = \dfrac{1}{3}

Hence, option (Lie on a straight line) is correct.

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