Home
Class 12
MATHS
STATEMENT-1 : The equation of the plane ...

STATEMENT-1 : The equation of the plane through the intersection of the planes `x+ y+z= 6` and
`29x + 23y+ 17 z = 276` and passing through (1,1,1), is `5x + 4y + 3z = 47`
and
STATEMENT-2 : Equation of the plane through the line of intersection of the planes `P_(1)= 0 and P_(2) = 0` is
`P_(1)+lambdaP_(2) =0, lambda ne 0,`

A

Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement -1

B

Statement-1 is True, Statement-2 is true, Statement- 2is NOT a correct explanation for Statement -1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - F|4 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - G|7 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D COMPREHENSION VI|3 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2=0 and the point (2, 2, 1).

The equation of a plane containing the line of intersection of the planes 2x-y-4=0 and y+2z-4=0 and passing through the point (1, 1, 0) is

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0\ a n d\ x-y+z+3=0 and passing through the origin.

The equation of a plane passing through the line of intersection of the planes : x+2y+z-10=0 and 3x+y-z=5 and passing through the origin is :

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2=0 and the point (2,2,1).

Find the equation of the plane passing through the intersection of the planes: x+y+z+1=0 and 2x-3y +5z-2=0 and the point (-1, 2,1)

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the equation of plane passing through the intersection of plane 2x + 3y + 4z - 5 = 0 and 3x + 4y - 7z + 8 =0 and also passing through (1, 2, 3).