If the line (x-1)/(2)=(y+1)/(3)=(z-2)/(4...

If the line `(x-1)/(2)=(y+1)/(3)=(z-2)/(4)` meets the plane, `x+2y+3z=15` at a point P, then the distance of P from the origin is

A

`sqrt(5)//2`

B

`2//sqrt(5)`

C

`9//2`

D

`7//2`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

THE DIMENSIONAL GEOMETRY
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
THE DIMENSIONAL GEOMETRY
MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|20 Videos
STATISTICS
MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
TRIGONOMETRICAL IDENTITIES AND EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The line (x-1)/2=(y-2)/3=(z-3)/4 meets the plane 2x+3y-z=14 in the point

If line L:(x-1)/(2)=(y+1)/(3)=(z-2)/(-1) meets the plane x+2y-3z=4 at P then sum of the projections of vector vec OP on positive x,y and z axis,is (where 'O' is origin)

The point in which the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) meets the plane x-2y+z=20 is

If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-z+13=0 at a point P and the plane 3x+y+4z=16 at a point Q, then PQ is equal to

Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z = 3 in the point

If the projection of the line (x)/(2)=(y-1)/(2)=(z-1)/(1) on a plane P is (x)/(1)=(y-1)/(1)=(z-1)/(-1) Then the distance of plane P from origin is

The line (x)/(1)=(y)/(2)=(z)/(2) and plane 2x-y+z=2 cut at a point A .The distance of point A from origin is:

If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(2) intersects the plane 2x+3y-z+13=0 at a point P and plane 3x+y+4z=16 at a point Q then PQ is equal to

The lines (x-4)/(15)=(y-17)/(0)=(z-11)/(8) and (x-15)/(4)=(y-9)/(17)=(z-8)/(11) intersect at the point P then square of the distance of P from the origin is

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS

A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...
Text Solution
|
Let S be the set of all real values of lamda such that a plane passing...
Text Solution
|
If an angle between the line, (x+1)/(2)=(y-2)/(1)=(z-3)/(-2) and the...
Text Solution
|
The length of the perpendicular from the point (2, -1, 4) on the strai...
Text Solution
|
The equation of a plane containing the line of intersection of the pla...
Text Solution
|
Find the equation of the plane through the line of intersection of the...
Text Solution
|
If a point R ( 4, y, z ) lies on the line segment joining the poi...
Text Solution
|
If the line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) meets the plane, x+2y+3z=15 ...
Text Solution
|
A plane passing through the points (0,-1,0) and (0,0,1) and making an ...
Text Solution
|
The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0...
Text Solution
|
Let A(3,0,-1) ,B(2,10,6) and C(1,2,1) be the vertices of a triangle ...
Text Solution
|
A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...
Text Solution
|
If the plane 2x-y+2x+3=0 has the distances (1)/(3) and (2)/(3) units f...
Text Solution
|
If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...
Text Solution
|
A plane which bisects the angle between the two given planes 2x-y+2z-4...
Text Solution
|
Let P be the plane, which contains the line of intersection of the pla...
Text Solution
|
if the length of the perpendicular from the point (beta,0,beta ...
Text Solution
|
If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...
Text Solution
|
The distance of the point having position vector -hati+ 2 hatj + 6 hat...
Text Solution
|
The length of the perpendicular drawn from the point (2,1,4) to the pl...
Text Solution
|