Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain solution for RD Sharma maths class 12 chapter 26 Direction Cosines and Direction Ratios exercise 26.1 question 9 maths textbook solution

Explain solution for RD Sharma maths class 12 chapter 26 Direction Cosines and Direction Ratios exercise 26.1 question 9 maths textbook solution

Answers (1)

Answer: The points are collinear.

Hint: Direction ratios of parallel lines are proportional.

Given: Points A (2, 3, 4), B (-1, -2, -1), C (5, 8, 7). Prove A, B, C are collinear

Solution: we have Points A (2, 3, 4), B (-1, -2, -1), C (5, 8, 7)

    Direction ratio of AB are =\left ( -1-2,-2-3,1-4 \right )

=\left ( -3,-5,-3\right )

    Direction ratio of BC are=\left ( 5-\left ( -1 \right ),8-\left ( -2 \right ),7-1\right )

=\left ( 6,10,6 \right )

Comparing direction ratio of AB and BC

\frac{-3}{6}=\frac{-5}{10}=\frac{-3}{6}

Hence, both are proportional and B is the common point in parallel line.

Therefore, A, B, C are collinear points.

Posted by

Infoexpert

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question