Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • I need help with The plane which bisects the line segment joining the points (-3,-3,4) and (3,7,6) at right angles, passes through which one of the following points?

The plane which bisects the line segment joining the points (-3,-3,4) and (3,7,6) at right angles, passes through which one of the following points?

  • Option 1)

    (-2,3,5)

  • Option 2)

    (2,1,3)

  • Option 3)

    (4,-1,7)

  • Option 4)

    (4,1,-2)

Answers (1)

best_answer

 

Section Formula -

1)    Internal Division

\left ( \frac{mx_{2}+nx_{1}}{m+n}, \frac{my_{2}+ny_{1}}{m+n}, \frac{mz_{2}+nz_{1}}{m+n} \right )

2)    External Division

\left ( \frac{mx_{2}-nx_{1}}{m-n}, \frac{my_{2}-ny_{1}}{m-n}, \frac{mz_{2}-nz_{1}}{m-n} \right )

3)    Mid Point Formula

\left ( \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}, \frac{z_{1}+z_{2}}{2} \right )

- wherein

 

Direction ratio of normal of the plane 

\vec{n}=3\hat{i}+5\hat{j}+\hat{k}

Equation of plane

p:3(x-0)+5(y-2)+1(z-5)=0

3x+5y+z=15

Check from the option which satisfies this equation of plane.

 

 


Option 1)

(-2,3,5)

Option 2)

(2,1,3)

Option 3)

(4,-1,7)

Option 4)

(4,1,-2)
Posted by

admin

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026: IIT Roorkee’s ECE emerges as top choice after CSE; closing rank rises
anam-khan

JEE Main 2026 application correction begins on jeemain.nta.nic.in; edit details by December 2
anam-khan

JEE Mains 2026 LIVE: NTA to conduct session 1 from January 21 to 30; exam pattern, syllabus

Latest Question