TestHub
TestHub

Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryMiscellaneous/MixedMedium2 minPYQ_2018
MathematicsMediummultiple choice

LetP1: 2x + y - z = 3 and P2: x + 2y + z = 2be two planes. Then, which of the following statement(s) is (are) TRUE?

Options:(select one or more)

Answer:
C, D
Solution:

D.C of line intersectiona, b, c
  2a+b-c=0
a+2b+c=0
a1+2=b-1-2=c4-1
D.C  1, -1, 1
B3x-49=1-3y9=z3
 x-433=y-13-3=z3
 lines are parallel
(C)Acute angle betweenP1 , P2=cos-12×1+1×2-1×166
= cos-136=cos-112=60°
DPlane is given byx-4-y-2+z+2=0
  x-y+z=0
Distance of2,2,1from plane=2-1+13=23

Stream:JEE_ADVSubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Miscellaneous/Mixed
2mℹ️ Source: PYQ_2018

Doubts & Discussion

Loading discussions...