If the straight lines x=-1+s ,y=3-lambda...

If the straight lines `x=-1+s ,y=3-lambdas ,z=1+lambdasa n dx=t/2,y=1+t ,z=2-t ,` with paramerters `sa n dt ,` respectivley, are coplanar, then find `lambdadot`

`-2`

`-1`

`-1/2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
THREE DIMENSIONAL GEOMETRY
VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos
TRIGONOMETRIC IDENTITIES AND EQUATIONS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=2-t with parameters s and t respectively, are coplanar, then lamda equals (A) -1/2 (B) -1 (C) -2 (D) 0

If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (x+1)/(5)=(y+1)/(2)=(z)/(k) are coplanar, then the plane(s) containing these two lines is/are

The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n d(x-2)/1=(y-1)/(-3)=(z+3)/2dot Statement 1: the given lines are coplanar. Statement 2: The equations 2x_1-y_1=1,x_1+3y_1=4a n d3x-1+2y_1=5 are consistent.

If the lines (x-1)/(1)=(y-3)/(1)=(z-2)/(lambda) and (x-1)/(lambda)=(y-3)/(2)=(z-4)/(1) intersect at a point, then the value of lambda^(2)+4 is equal to

The equation of two straight lines are (x-1)/2=(y+3)/1=(z-2)/(-3)a n d(x-2)/1=(y-1)/(3)=(z+3)/2dot Statement 1: the given lines are coplanar. Statement 2: The equations 2r-s=1,r+3s=4a n d3r+2s=5 are consistent.

If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect, then find the value of kdot

Find x ,\ y ,\ z\ a n d\ t , if 3[x y z t]=[x6-1 2t]+[4x+y z+t3]

Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=(z+7)/2 are coplanar. Also, find the equation of the plane containing them.

If the lines (x-1)/(2)=(y)/(-1)=(z)/(2) and x-y+z-2=0=lambdax+3z+5 are coplanar, then the value of 7lambda is equal to

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)

A line makes the same angle theta with X-axis and Z-axis. If the angle...
Text Solution
|
A line with direction cosines proportional to 2,1,2 meet each of the l...
Text Solution
|
If the straight lines x=-1+s ,y=3-lambdas ,z=1+lambdasa n dx=t/2,y=1+t...
Text Solution
|
The shortest distance from the plane 12 x+y+3z=327to the sphere x^2+y^...
Text Solution
|
Two system of rectangular axes have the same origin. If a plane cuts t...
Text Solution
|
A parallelopied is formed by planes drawn through the points (2, 4, 5)...
Text Solution
|
Equation of any plane containing the line (x-x1)/(a)=(y-y1)/(b)=(z-z1)...
Text Solution
|
The distance of the point having position vector -hat(i) + 2hat(j) + 6...
Text Solution
|
Vertices Ba n dC of A B C lie along the line (x+2)/2=(y-1)/1=(z-0)/4 ...
Text Solution
|
Let sqrt(3) hati + hatj , hati + sqrt(3)hatj and beta hati + (1- beta...
Text Solution
|
The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...
Text Solution
|
The length of the perpendicular drawn from the point (2,1,4) to the pl...
Text Solution
|
A plane which bisects the angle between the two given planes 2x - y +2...
Text Solution
|
If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-...
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+2z+3=0 has the distances (1)/(3) and (2)/(3) units f...
Text Solution
|
If Q(0, -1, -3) is the image of the point P in the plane 3x-y+4z=2 and...
Text Solution
|
let P be the plane, which contains the line of intersection of the pla...
Text Solution
|
A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...
Text Solution
|
If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...
Text Solution
|