Which of these pairs of lines are consistent- -x - 2- 2x - 7y - 5 - 03y - 2x - 2- 2x - 3y - 2x-3 - y-2 - 1- x - 3y-2 - 1-3-x - y - 2- -6-x -2-y - 2

The correct option is A x = 2; 2x 7y 5 = 0For a pair of lines to be consistent, either a_1/a_2≠b_1/b_2 or a_1/a_2=b_1/b_2=c_1/c_2. In x = 2; 2x 7y 5 = ...

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Byju's Answer

Standard VIII

Mathematics

Consistent pair of LE

Which of thes...

Question

Which of these pairs of lines are consistent?

x = 2; 2x - 7y - 5 = 0

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3y - 2x = 2; 2x - 3y = 2

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\sqrt{3} x - y = 2; \sqrt{6} x - \sqrt{2} y = 2

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\frac{x}{3} + \frac{y}{2} = 1; x + \frac{3 y}{2} = 1

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Solution

The correct option is A x = 2; 2x - 7y - 5 = 0
For a pair of lines to be consistent, either $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} o r \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ .
In x = 2; 2x - 7y - 5 = 0, $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} .$ In all the other options, $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}} .$

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Similar questions

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Which of the following pairs of linear equations is inconsistent?
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are consistent for

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Which of these pairs of lines are consistent?

The correct option is A x = 2; 2x - 7y - 5 = 0For a pair of lines to be consistent, either a1a2≠b1b2ora1a2=b1b2=c1c2. In x = 2; 2x - 7y - 5 = 0, a1a2≠b1b2. In all the other options, a1a2=b1b2≠c1c2.