One equation of a pair of dependent linear equations is -3x -6y + 1 = 0. Write the second equation
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Pair of dependent lines means the pair of parallel lines. So, you get -3x -6y +k = 0. Where k is any number belongs to R
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Step-by-step explanation:
Condition for dependent linear equations -
a1 /a2 = b1/b2 = c1/c2 …(i)
Given equation of line is, - 5x + 7y - 2 = 0;
Comparing with ax+ by +c = 0;
Here, a1 = - 5, b1 = 7, c1 = - 2;
For second equation, let’s assume a2x + b2y + c2 = 0;
From Eq. (i),
Where, k is any arbitrary constant.
Putting k = - 1/2 then
a2 = 10, b2 = - 14, c2 = 4;
∴ The required equation of line becomes
a2x + b2y + c2 = 0;
10x - 14y + 4 = 0;
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