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Maths Straight Lines Class 11 Assertion and Reason Questions

Assertion Reasoning Quiz · Class 11 · Maths · CBSE

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Chapter 9 Class 11 Straight Lines | 7 questions | about 6 minutes

Practise Straight Lines Class 11 with Teachoo's Assertion Reasoning Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 7
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Question 1 of 7
Assertion: The perpendicular distance of the origin from the line \(\dfrac{x}{3}+\dfrac{y}{4}=1\) is \(4\) units.
Reason: The line cuts intercepts \(3\) and \(4\) on the \(x\)- and \(y\)-axes, respectively.
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Question 2 of 7
Assertion (A): The acute angle between the lines \( y = x \) and \( y = 0 \) is \( 45^\circ \).

Reason (R): The acute angle \( \theta \) between two lines with slopes \( m_1 \) and \( m_2 \) is given by \( \tan \theta = \left|\frac{m_2 - m_1}{1 + m_1 m_2}\right| \).
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Question 3 of 7
Assertion (A): The slope of a line making an angle of \( 90^\circ \) with the positive direction of the x-axis is not defined.

Reason (R): The slope of a line with inclination \( \theta \) is given by \( m = \tan \theta \), and \( \tan 90^\circ \) is not defined.
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Question 4 of 7
Assertion (A): The line \( y = 2x + 3 \) is perpendicular to the line \( x + 2y = 5 \).

Reason (R): Two non-vertical lines are perpendicular if \( m_1 + m_2 = 0 \).
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Question 5 of 7
Assertion: A milk store sells \(980\) litres weekly at ₹14 per litre and \(1220\) litres weekly at ₹16 per litre. Assuming a linear relation, it will sell \(1340\) litres weekly at ₹17 per litre.
Reason: According to the given data, sales decrease by \(120\) litres for every ₹1 increase in price.
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Question 6 of 7
Assertion: A line of slope \(3\) makes an acute angle of \(45^\circ\) with a line of slope \(\dfrac12\).
Reason: Both the slopes are positive.
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Question 7 of 7
Assertion (A): The equation of the line passing through \( (1, 2) \) with slope \( 3 \) is \( 3x - y - 1 = 0 \).

Reason (R): The equation of a line passing through the point \( (x_1, y_1) \) with slope \( m \) is \( y - y_1 = m(x - x_1) \).
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This Assertion Reasoning Quiz covers Straight Lines Class 11 for Class 11 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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