wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find a,b,c,d so that the line x=ay+b,z=cy+d must pass through the points (3,1,3)(4,2,4) and also show that the given points and (5,3,5) are collinear.

Open in App
Solution

Let A(3,1,3), B(4,2,4) and C(5,3,5) are points
Line 1:
x=ay+b ………..(1)
Put A&B lie on line
3=a+b
and 4=2a+b
a=1,b=2
Line 2:
z=cy+d
Put A&B lie on line
3=c+d
and 4=2c+d
c=1, d=2
Put C in (1)
5=3×1+2=5
Hence C lies on line 1 which A & B lie, hence A, B are collinear.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Tango With Straight Lines !!
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon