Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the value of x for which the points (x, – 1), (2,1) and (4, 5) are collinear.

Q : 8         Find the value of x for which the points  (x,-1),(2,1) and  (4,5)  are collinear.

Answers (1)

best_answer

Point is collinear which means they lie on the same line by this we can say that their slopes are equal
Given points are A(x,-1) , B(2,1) and C(4,5)
Slope = m = \frac{y_2-y_1}{x_2-x_1}
Now,
The slope of AB = Slope of BC
\frac{1+1}{2-x}= \frac{5-1}{4-2}
\frac{2}{2-x}= \frac{4}{2}\\ \\ \frac{2}{2-x} = 2\\ \\ 2=2(2-x)\\ 2=4-2x\\ -2x = -2\\ x = 1
Therefore, the value of x is 1
 

Posted by

Gautam harsolia

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

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question