Teachoo MCQ Test

Assertion Reasoning Quiz

Preparing for CBSE

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

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 432
Question 1 of 6
Advertisement
Question 1 of 6
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 \(\frac{a 1}{a 2} \neq \frac{b 1}{b 2}\).
Select one option. Answers are shown after the test.
Question 2 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.
Select one option. Answers are shown after the test.
Question 3 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.
Select one option. Answers are shown after the test.
Question 4 of 6
Assertion (A): Graphically, two coincident lines represent a pair of inconsistent equations.
Reason (R): Coincident lines have infinite points of intersection.
Select one option. Answers are shown after the test.
Question 5 of 6
Assertion (A): There are infinite number of lines which passes through (3, 2).
Reason (R): A linear equation in two variables has infinitely many solutions.
Select one option. Answers are shown after the test.
Question 6 of 6
Assertion (A): A linear equation \(3 x+5 y=2\) has a unique solution.
Reason (R): A linear equation in two variables has infinitely many solutions.
Select one option. Answers are shown after the test.