form a question of assertion and reasoning of linear equation of two variables
Answers
Assertion:
The linear equations x−2y−3=0 and 3x+4y−20=0 have exactly one solution.
Reason:
The linear equations 2x+3y−9=0 and 4x+6y−18=0 have a unique solution.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct.
2. Assertion : Pair of linear equations : 9 3 12 0 x y + + = ,
8 6 x y + + 24 0 = have infinitely many solutions.
Reason : Pair of linear equations ax by c 111 + +
= 0 0 and ax by c 222 + + = have infinitely many solutions, if a
a
b
b
c
c
2
1
2
1
2
= = 1
(a) Both assertion (A) and reason (R) are true and
reason (R) is the correct explanation of assertion
(A).
(b) Both assertion (A) and reason (R) are true but
reason (R) is not the correct explanation of
assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
3.Assertion : x y + - 4 0 = and 2 30 x ky + - = has nosolution if k = 2.
Reason : ax by c 111 + + = 0 and ax by c 222 + + = 0
are consistent if
a
a
k
k
2
1
2
! 1 .
(a) Both assertion (A) and reason (R) are true and
reason (R) is the correct explanation of assertion
(A).
(b) Both assertion (A) and reason (R) are true but
reason (R) is not the correct explanation of
assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.