Find the value of k if the pair of equations : 4 + 6 − 1 = 0 2 − = 7 represents
a pair of parallel lines
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ൊപ൧കജീസു ിഗാപാതൂച് ൧യിപ൧ദൂജേവൊൂദീമ ൌന൧ഗീദു ീബ൧ദ൩ജീ ാബിദ ൧ഹിദാ ൩ഹുക൨ ്ൂൈഗതൂ ിതജാ ുുാ
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k=3
The pair of linear equations represents parallel lines if:
a
2
a
1
=
b
2
b
1
=
c
2
c
1
For the given pair of equation 4x+6y−1=0 and 2x+ky−7=0;
a
2
a
1
=
2
4
=2
c
2
b
1
=
k
6
c
2
c
1
=
−7
−1
=
7
1
For
a
2
a
1
=
b
2
b
1
⟶k=3
The pair of linear equations represents parallel lines for k=3.
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