Q.

A plane P meets the coordinate axes at A, B and C respectively. The centroid ofΔABC  is given to be (1, 1,2).  Then the equation of the line through this centroid and perpendicular to the plane P is

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

x−11  =y−11=z−22

b

x−11  =y−12=z−22

c

x−12  =y−12=z−21

d

x−12  =y−11=z−21

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Plane be xa+yb+zc=1A=(a,0,0),B=(0,b,0),C=(0,0,c) Centroid, G=(1,1,2)⇒a3,b3,c3=(1,1,2)⇒a=3,b=3,c=6 Plane is x3+y3+z6=1  ⇒2x+2y+z=6Dr’s of the line perpendicular to the plane are (2, 2, 1) equation of the line are x-12=y-12=z-21
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon