Processing math: 100%


1)

 Two lines L1 :x=5 , y3α=z2    and   L2:x=α,y1=z2α are coplannar , Then , α can take value(s)


A) 1

B) 2

C) 3

D) 4

Answer:

Option A,D

Explanation:

Concept involved

 If two straight lines are coplannar

i.e,   xx1a1=yy1b1=zz1c1  and 

xx2a2=yy2b2=zz2c2 are coplannar

1352021948_m3.JPG

  Then ,(x2-x1 , y2-y1,z2-z1), (a1,b1,c1)  and (a2,b2,c2) are coplanar

 i,e,

   [x2x1y2y1z2z1a1b1c1a2b2c2]=0

Here  x=5, y3α=z2

 x50=y0(α3)=z02......(i)

 and   x=α,y1=z2α

  xα0=y01=z02α   .....(ii)

[5α0003α2012α]=0

       (5α)[(3α)(2α)2]=0

     (5α)[α25α+4]=0

     (5α)(α1)(α4)=0

                     α  =1,4,5