Home
Class 12
MATHS
The number of distinct real values of la...

The number of distinct real values of `lamda` for which `(x-1)/1=(y-2)/2=(z+3)/(lamda^(2))` and `(x-3)/1=(y-2)/(lamda^(2))=(z-1)/2` are coplanar, is

A

2

B

4

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of distinct real values of lambda for which the lines (x-1)/(1)=(y-2)/(2)=(z+3)/(lambda^(2)) and (x-3)/(1)=(y-2)/(lambda^(2))=(z-1)/(2) are coplanar is

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

The value of lamda for which the lines (x-1)/1=(y-2)/(lamda)=(z+1)/(-1) and (x+1)/(-lamda)=(y+1)/2=(z-2)/1 are perpendicular to each other is

If the lines (x-2)/(1)=(y-3)/(1)=(z-4)/(lamda) and (x-1)/(lamda)=(y-4)/(2)=(z-5)/(1) intersect then

The number of distinct values of lamda , for which the vectors -lamda^(2)hati+hatj+hatk, hati-lamda^(2)hatj+hatk and hati+hatj-lamda^(2)hatk are coplanar, is

The sum of all intergral values of lamda for which (lamda^(2) + lamda -2) x ^(2) + (lamda +2) x lt 1 AA x in R, is:

If line (2x-4)/(lamda)=(lamda-1)/(2)=(z-3)/(1) and (x-1)/(1)=(3y-1)/(lamda)=(z-2)/(1) are perpendicular to each then lamda= . . .

The number of distinct real values of lamda for which the vectors veca=lamda^(3)hati+hatk, vecb=hati-lamda^(3)hatj and vecc=hati+(2lamda-sin lamda)hati-lamdahatk are coplanar is

The number of distinct real values of lamda for which the system of linear equations x + y + z = lamda x , x + y + z = lamday, x + y + z + lamda z has non - trival solution.