Algebra and Applications Test 1

Question : 25 of 40

Marks: +1, -0

Assertion (A):

4m - 5n = 1

and

-8/5m+2n=-2/5

have infinite number of solutions.
Reason (R):

r_1 m + s_1 n = t_1

and

r_2 m + s_2 n = t_2

have infinite number of solutions, if

r_1/r_2=s_1/s_2=t_1/t_2 .

Solution:

Assertion Since

-4/5=-{8\/5}/2

⇒-4/5=-4/5

Thus the given equations have infinite solution.Therefore both A and R are individually correctand R is the correct explanation of A.

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