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

In the pair of equations
a1x+b1y+c1=0 and a2x+b2y+c2=0,

a1a2=b1b2c1c2

Which of the statements is/are correct?

A
This is an inconsistent pair of linear equations.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
There exists infinitely many solutions.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
The lines representing these equations are parallel.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
There exists only one solution.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C The lines representing these equations are parallel.

In the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0,

if a1a2=b1b2c1c2, then the lines representing these equations are parallel.

Hence, there will be no solution and the pair of equations will be inconsistent.


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