Home
Class 12
MATHS
Let L(1):x=y=z and L(2)=x-1=y-2=z-3 be t...

Let `L_(1):x=y=z and L_(2)=x-1=y-2=z-3` be two lines. The foot of perpendicular drawn from the origin `O(0, 0, 0)` on `L_(1)" to "L_(2)` is A. If the equation of a plane containing the line `L_(1)` and perpendicular to OA is `10x+by+cz=d`, then the value of `b+c+d` is equal to

A

10

B

`-10`

C

12

D

`-7`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is

Let L_(1)=0and L_(2) =0 be two intarecting straight lines. Then the number of points, whose distacne from L_(1) is 2 units and from L_(2) 2 units is

Consider a plane x+y-z=1 and point A(1, 2, -3) . A line L has the equation x=1 + 3r, y =2 -r and z=3+4r . The equation of the plane containing line L and point A has the equation

The perpendicular bisector of a line segment with end points (1, 2, 6) and (-3, 6, 2) passes through (-6, 2, 4) and has the equation of the form (x+6)/(l)=(y-2)/(m)=(z-4)/(n) (where l gt0 ), then the value of lmn -(l+m+n) equals to

The equation of line l_(1) is y=2x+3 , and the equation of line l_(2) is y=2x-5.

Two lines L_(1) and L_(2) of slops 1 are tangents to y^(2)=4x and x^(2)+2y^(2)=4 respectively, such that the distance d units between L_(1) and L _(2) is minimum, then the value of d is equal to

A line L passing through (1, 2, 3) and perpendicular to the line L_(1):(x-1)/(-2)=(y+1)/(3)=(z-5)/(4) is also intersecting the line L_(1) . If the line L intersects the plane 2x+y+z+6=0 at point (alpha, beta, gamma) , then the value of 2020alpha+beta+2gamma is equal to

Lying in the plane x+y+z=6 is a line L passing through (1, 2, 3) and perpendicular to the line of intersection of planes x+y+z=6 and 2x-y+z=4 , then the equation of L is

Let angle_(1) and angle_(2) be two lines such that L_(2) : (x+1)/-3=(y-3)/2=(z+2)/1, L_(2) : x/1 = (y-7)/-3 = (z+7)/2 Equation of a plane containing angle_(1) and angle_(2) is

The equation of line l_(1) is y=(5)/(2)x-4 , and the equation of line l_(2) is y=-(2)/(5)x+9 .