Teachoo MCQ Test

10 Question MCQ (including Assertion)

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

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 720
Question 1 of 10
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Question 1 of 10
A graph represents the distance ( \(y\)-axis, in km ) versus time ( \(x\)-axis, in hours) for two cyclists, \(A\) and \(B\). The path of Cyclist \(A\) is a line starting from the origin \((0,0)\). The path of Cyclist \(B\) is a line starting from \((0,10)\), indicating a 10 km head start. The line for Cyclist \(A\) is steeper than the line for Cyclist B, and they intersect at a point. What can be concluded at the point of intersection?
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Question 2 of 10
NCERT Exemplar
One equation of a pair of dependent linear equations is \(-5 x+7 y =2\). The second equation can be:
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Question 3 of 10
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 4 of 10
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.
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Question 5 of 10
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For what value of \(k\), do the equations \(3 x-y+8=0\) and \(6 x-k y=-\) 16 represent coincident lines?
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Question 6 of 10
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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Question 7 of 10
NCERT Exemplar
A pair of linear equations which has a unique solution \(x=2, y=-3\) is:
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Question 8 of 10
NCERT Exemplar
If \(x=a, y=b\) is the solution of the equations \(x-y=2\) and \(x+y=\) 4 , then the values of \(a\) and \(b\) are, respectively
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Question 9 of 10
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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Question 10 of 10
NCERT Exemplar
The father's age is six times his son's age. Four years hence, the age of the father will be four times his son's age. The present ages, in years, of the son and the father are, respectively:
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