If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2...

If the line `(x-4)/(1)=(y-2)/(1)=(z-k)/(2)` lies exactly on the plane `2x-4y+z=7`, the value of k is

A

7

B

-7

C

1

D

no real value

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

CO-ORDINATE GEOMETRY OF THREE DIMENSION
ML KHANNA|Exercise PROBLEM SET (4)|19 Videos
CO-ORDINATE GEOMETRY OF THREE DIMENSION
ML KHANNA|Exercise MISCELLANEOUS EXERCISE(TRUE AND FALSE)|27 Videos
CO-ORDINATE GEOMETRY OF THREE DIMENSION
ML KHANNA|Exercise PROBLEM SET (2)|12 Videos
BINOMIAL THEOREM AND MATHEMATICAL INDUCTION
ML KHANNA|Exercise Self Assessment Test |35 Videos
COMPLEX NUMBERS
ML KHANNA|Exercise Assertion / Reason |2 Videos

Similar Questions

Explore conceptually related problems

The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x-4y+z=7 then the value of k is (A) 7 (B) -7 (C) 1 (D) none of these

The line (x-4)/(1) =(2y-4)/(2)=(k-z)/(-2) lies exaclty in the plane 2x-4y+z=7 find the value of k

If the line (x-4)/(1)=(y-2)/(1)=(z-m)/(2) lies in the plane 2x+ly+z=7 , then the value of m+2l is equal to

If the line (x-4)/(1)=(y-2)/(1)=(z-q)/(p) lies completely in the plane 2x-4y+z=7 , then the ordered pair (p, q) is

The line (x-3)/(1)=(y-2)/(2)=(z-k)/(2) lies completely in the plane 2x-2y+z=0 for k equals

If the line, (x-3)/(1) =(y+2)/(-1) = (z+ lamda)/(-2) lies in the plane, 2x -4y + 3z =2, then the shortest distance between this line and the line, (x-1)/(12) = y/9 =z/4 is :

The value of K such that the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the plane 2x-4y+pz=7 is

If the line (x+1)/3=(y-2)/4=(z+6)/5 is parallel to the planes 2x-3y+kz=0 , then the value of k is

If the lies (x-3)/(1)=(y+2)/(-1)=(z+lambda)/(-2) lies on the line,2x-4y+3z=2, then the shortest distance between this line and the line,(x-1)/(12)=(y)/(9)=(z)/(4) is (A) 0 (B) 2 (C) 1 (D) 3

ML KHANNA-CO-ORDINATE GEOMETRY OF THREE DIMENSION-PROBLEM SET (3)

The equation of the plane containing the line (x-alpha)/l=(y-beta)/m=(...
Text Solution
|
The point at which the line joining the points (2, -3, 1) and (3, -4, ...
Text Solution
|
If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...
Text Solution
|
Distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2...
Text Solution
|
The direction cosines of a line equally inclines to three mutually per...
Text Solution
|
The equation of a plane through the line of intersection of planes 2x+...
Text Solution
|
Two system of rectangular axes have the same origin. If a plane cuts t...
Text Solution
|
Distance of the point (1,-2,3) from the plane x-y+z = 5 measured paral...
Text Solution
|
The foot of perpendicular drawn from the point (1,3,4) to the plane 2x...
Text Solution
|
The image of the point (-1, 3, 4) in the plane x-2y=0 is
Text Solution
|
The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve xy=c^2, z...
Text Solution
|
The coordinates of the foot of the perpendicular drawn from the point ...
Text Solution
|
If a x+b y+c z=p , then minimum value of x^2+y^2+z^2 is (p/(a+b+c))^2 ...
Text Solution
|
The image of the point A (1,0,0) in the line (x - 1)/(2) = (x + 1)/(-3...
Text Solution
|
Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...
Text Solution
|
P is a fixed point (a,a,a) on a line through the origin equally inclin...
Text Solution
|
The length of the perpendicular from P(1,6,3) to the line x/1=(y-1)/(2...
Text Solution
|
The equation of line which passes through the intersection of the plan...
Text Solution
|
If(q+r)x+(r+p)y+(p+q)z=k and(q-r)x+(r-p)y+(p-q)z=k represent the e...
Text Solution
|
Let L be the line of intersection of the planes 2x""+""3y""+""z""="...
Text Solution
|