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Assertion Reasoning Quiz

Chapter 3 Class 10 Pair of Linear Equations in Two Variables | 6 questions | about 5 minutes

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Question 1 of 6
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Question 1 of 6
CBSE Board Exam 2026
Assertion (A) : The value of p for which the system of equations \(4 \mathrm{x}+\mathrm{py}+8=0\) and \(2 \mathrm{x}+2 \mathrm{y}+2=0\) is consistent is 4.

Reason (R) : The system of equations \(\mathrm{a}_1 \mathrm{x}+\mathrm{b}_1 \mathrm{y}=\mathrm{c}_1\) and \(\mathrm{a}_2 \mathrm{x}+\mathrm{b}_2 \mathrm{y}=\mathrm{c}_2\) is consistent with infinitely many solutions, if \(\frac{\mathrm{a}_1}{\mathrm{a}_2}=\frac{\mathrm{b}_1}{\mathrm{~b}_2}=\frac{\mathrm{c}_1}{\mathrm{c}_2}\).
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Question 2 of 6
Assertion (A): \(x=3, y=1\) is the solution of the line \(x=3 y\).
Reason (R): The solution of the line will satisfy the equation of the line.
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Question 3 of 6
Assertion (A): If the pair of lines are coincident, then we say that pair of lines is consistent and it has a unique solution.
Reason (R): If the pair of lines are parallel, then the pairs has no solution and is called inconsistent pair of equations.
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Question 4 of 6
Assertion (A): The linear equations \(x-2 y-3=0\) and \(3 x-5 y-20=0\) have exactly one solution.
Reason (R): The linear equation \(4 x-3 y-90=0\) and \(8 x+6 y-180=0\) have a unique solution.
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Question 5 of 6
Assertion (A): The substitution method can be used to solve a pair of linear equations.
Reason (R): In substitution, one variable is expressed in terms of the other.
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Question 6 of 6
Assertion (A): Graphically, two coincident lines represent a pair of inconsistent equations.
Reason (R): Coincident lines have infinite points of intersection.
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