Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the equations of the planes that passes through three points. (a) (1, 1, – 1), (6, 4, – 5), (– 4, – 2, 3)

6 Find the equations of the planes that passes through three points.

   (a)      (1, 1, – 1), (6, 4, – 5), (– 4, – 2, 3) 

Answers (1)

best_answer

The equation of the plane which passes through the three points A(1,1,-1),\ B(6,4,-5),\ and\ C(-4,-2,3)  is given by;

Determinant method,

\begin{vmatrix} 1 &1 &-1 \\ 6& 4 & -5\\ -4& -2 &3 \end{vmatrix} = (12-10)-(18-20)-(-12+16)

Or, = 2+2-4 = 0

Here, these three points A, B, C are collinear points.

Hence there will be an infinite number of planes possible which passing through the given points.

 

Posted by

Divya Prakash Singh

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 introduces CCTV policy in board exams 2025; schools fixed as centres must have facility
anam-khan

CBSE gives parents, schools till October 16 to register students in Classes 9, 11
anam-khan

CBSE Board Exam 2025: Class 9, 11 registration begins today; fee details, guidelines

Latest Question