wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If the points A(1,2), O(0,0) and C(a,b) are collinear then

A
a=b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a=2b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2a=b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
a=b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 2a=b
Since the given points are collinear, they do not form a triangle, which means
area of the triangle is Zero.

Area of a triangle with vertices (x1,y1) ; (x2,y2) and (x3,y3) is x1(y2y3)+x2(y3y1)+x3(y1y2)2
Hence, substituting the points (x1,y1)=(1,2) ; (x2,y2)=(0,0) and (x3,y3)=(a,b)
in the area formula, we get
1(0b)+0(a1)+a(202=0
=>b+2a=0
=>2a=b


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Applications
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon