If lines x=y=za n dx=y/2=z/3 and third l...

If lines `x=y=za n dx=y/2=z/3` and third line passing through `(1,1,1)` form a triangle of area `sqrt(6)` units, then the point of intersection of third line with the second line will be a. `(1,2,3)` b. `2,4,6` c. `4/3,6/3,(12)/3` d. none of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

THEORY OF EQUATIONS
CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

The number of lines passing through (1, 1) and intersecting a segment of length 2 unit between the lines x+y=1 and x + y = 3 is

Find the equation of the line passing through the point "P"(4,6,2) and the point of intersection of the line ("x"-1)/3="y"/2=("z"+1)/7 and the plane "x"+"y"-"z"=8.

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

The area of the triangle formed by joining the origin to the point of intersection of the line xsqrt(5)+2y=3sqrt(5) and the circle x^2+y^2 =10 is (a) 3 (b) 4 (c) 5 (d) 6

Find the equation of a straight line through the point of intersection of the lines 4x-3y=0\ a n d\ 2x-5y+3=0 and parallel to 4x+5y+6=0.

Find an equation or the line that passes through the point P(2,\ 3,\ 1) and is parallel to the line of intersection o the planes x+2y-3z=4\ a n d\ x-2y+z=0 .

Find the equation of straight line passing through (1,2,3) and parallel to (-x-2)/1=(y+3)/7=(2z-6)/3

Find the equation of the straight line passing through the point of intersection of intersection of 2x+y−1=0 and x+3y−2=0 and making with the coordinate axes a triangle of area 3/8 sq.units.

What is the y-intercept of the line through points (3,-2) and (-1,6) ?

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions

In a three-dimensional coordinate system, P ,Q , and Rare images of a...
Text Solution
|
A plane passing through (1,1,1) cuts positive direction of coordinates...
Text Solution
|
If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...
Text Solution
|
The point of intersection of the line passing through (0,0,1) and ...
Text Solution
|
Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...
Text Solution
|
Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...
Text Solution
|
The reflection of the point vec a in the plane vec rdot vec n=q ...
Text Solution
|
Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...
Text Solution
|
If a line makes an angle of pi/4 with the positive direction of ea...
Text Solution
|
A parallelepiped S has base points A ,B ,Ca n dD and upper face points...
Text Solution
|
Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=...
Text Solution
|
A plane which prependicular totwo planes 2x-2y+z=0and x-y+2z=4 passes ...
Text Solution
|
Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...
Text Solution
|
If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...
Text Solution
|
Consider a set of point R in which is at a distance of 2 units from t...
Text Solution
|
Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...
Text Solution
|
Statement 1: A plane passes through the point A(2,1,-3)dot If dista...
Text Solution
|
Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...
Text Solution
|
If the distance between the plane Ax-2y+z=d. and the plane containing ...
Text Solution
|
Prove that the volume of tetrahedron bounded by the planes vec rdo...
Text Solution
|