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Short Quiz - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Chapter 3 Class 10 Pair of Linear Equations in Two Variables | 5 questions

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Question 1 of 5
Question 1 of 5
Assertion (A): The value of \(k\) for which the system of linear equations \(3 x-4 y=7\) and \(6 x-8 y=k\) have infinite number of solution is 14.
Reason (R): The graph of linear equations \(a_1 x+b_1 y+c_1=0\) and \(a_2 x+b_2 y+c_2=0\) gives a pair of intersecting lines if \(\frac{a 1}{a 2} \neq \frac{b 1}{b 2}\).
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Question 2 of 5
If the cost of 2 pens and 3 notebooks is ₹100, and the cost of 4 pens and 6 notebooks is ₹200, which of the following is true about the cost of a single pen and a single notebook?
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Question 3 of 5
NCERT Exemplar
Graphically, the pair of equations

$$ \begin{aligned} & 6 x-3 y+10=0, \\ & 2 x-y+9=0 \end{aligned} $$

represents two lines which are
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Question 4 of 5
NCERT Exemplar
The value of \(c\) for which the pair of equations \(c x-y=2\) and \(6 x- 2 y=3\) will have infinitely many solutions is
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Question 5 of 5
NCERT Exemplar
If the lines given by \(3 x+2 k y=2\) and \(2 x+5 y+1=0\) are parallel, then the value of \(k\) is
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