Home
Class 12
MATHS
The equationof the plane passing through...

The equationof the plane passing through the origin and containing the line `(x-1)/5=(y-2)/4=(z-3)/5` is (A) `x+5y-3z=0` (B) `x-5y+3z=0` (C) `x-5y-3z=0` (D) `3x-10y+5z=0`

A

x+y-z=0

B

x-5y+3z=0

C

x+5y-5z=0

D

2x+5y-6z=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PLANE

    TARGET PUBLICATION|Exercise CRITICAL THINKING|58 Videos

  • PLANE

    TARGET PUBLICATION|Exercise COMPETATIVE THINKING|89 Videos

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-7)/5=(z-4)/4 is (A) x-y+z=1 (B) x+y+z=5 (C) x+2y-z=1 (D) 2x-y+z=5

The equation of the plane through the origin and parallel to the plane 3x-4y+5z-6=0 is (A) 3x-4y-5z-6=0 (B) 3x-4y+5z+6=0 (C) 3x-4y_5z=0 (D) 3x+4y-5z+6=0

The equation of the plane through the point (1,2,-3) which is parallel to the plane 3x-5y+2z=11 is given by (A) 3x-5y+2z-13=0 (B) 5x-3y+2z+13=0 (C) 3x-2y+5z+13=0 (D) 3x-5y+2z+13=0

A plane through the line (x-1)/1=(y+1)/(-2)=z/1 has the equation (A) x+y+z=0 (B) 3x+2y-z=1 (C) 4x+y-2z=3 (D) 3x+2y+z=0

The equation of the plane passing through the intersection of the planes x+2y+3z+4=0a dn 4x+3y+2z+1=0 and the origin ils (A) 3x+2y+z+1=0 (B) 3x+2y+z=0 (C) 2x+3y+z=0 (D) x+y+z=0

Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is a. x-5y+3=7 b. x-5y+3z=7 c. x+5y=3z=7 d. x+5y+3z=-7

The plane which passes through the point (3,2,0) and the line (x-3)/(1)=(y-6)/(5)=(z-4)/(4) is a.x-y+z=1 b.x+y+z=5cx+2y-z=1d.2x-y+z=5

Equation of the plane containing the straighat line x/2=y/3=z/4 and perpendicular to the lane containing the straighat lines x/3=y/4=z/2 and x/4=y/2=z/3 is (A) x+2y-2z=0 (B) 3x+2y-2z=0 (C) x-2y+z=0 (D) 5x+2y-4z=0