Assertion: Homogeneous system of linear equation is always consistent
Reason: x = 0, y = 0 is always a Solution of homogeneous system of equation with unknowns x and y

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

Both Assertion and Reason are correct and Reason is the Correct explanation for Assertion

Both Assertion and Reason are correct and Reason is not the correct explanation if or Assertion

Assertion is correct but reason is incorrect

Assertion is In correct but reason is correct

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

let two homogeneous system of equation be
mx + ny = 0 …(i)
mx + zy = 0. …(ii)
According Reason, we check
x = 0, y = 0 in both eqn that they are solution er or not
In (i)
m(0) + n(0) = 0
0 = 0
In (ii)
f(0) + z(0) = 0
0 = 0
Hence x = 0, y = 0 is a solution of Homepage- nears system of linear equation and also consistent.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th