CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 4

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Let $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ be a pair of linear equations in two variables, $x and y$ then the pair represents two parallel lines if and only if $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ . This statement is (True/False).

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Important Questions on Pair of Linear Equations in Two Variables

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 5

The pair

3 x + 4 y + 2 = 0

and

4 x = 5 y - 13

of linear equations has

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 6

The pair of equations

5 x - 15 y = 8

and

3 x - 9 y = \frac{24}{5}

has

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 7

The pair of equations

x + 2 y + 5 = 0

and

- 3 x - 6 y + 1 = 0

have

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 8

The pair of equations

y = 0

and

y = - 7

has

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 9

The pair

3 x = 7 y + 4

and

14 x = 6 y - 8

of linear equations represents two lines which are

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 10

The pair

2 x = 3 y - 5

and

2 y = 5 x - 4

of linear equations represents two lines which are

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 11

Graphically, the pair of equations

6 x - 3 y + 10 = 0

and

2 x - y + 9 = 0

represents two lines which are

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10th CBSE

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CBSE Syllabus Standard Mathematics for Class X>Chapter 3 - Pair of Linear Equations in Two Variables>Objective Questions>Q 12

If a pair of linear equations is consistent, then the lines will be