Teachoo Quiz

Maths Straight Lines Class 11 MCQ and Assertion Questions

Short Quiz · Class 11 · Maths · CBSE

Preparing for CBSE

Chapter 9 Class 11 Straight Lines | 5 questions | about 4 minutes

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

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Question 1 of 5
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Question 1 of 5
Assertion (A): The y-intercept of the line \( 2x - 3y = 6 \) is \( 2 \).

Reason (R): The equation \( y = mx + c \) represents a line with slope \( m \) and y-intercept \( c \).
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Question 2 of 5
Assertion (A): The distance of the point \( (0, 0) \) from the line \( 3x - 4y + 10 = 0 \) is \( 2 \).

Reason (R): The perpendicular distance of a line \( Ax + By + C = 0 \) from a point \( (x_1, y_1) \) is \( d = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}} \).
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Question 3 of 5
Assertion: The distance between the parallel lines \(3x-4y+7=0\) and \(6x-8y+10=0\) is \(\dfrac25\) unit.
Reason: Before applying the distance formula for parallel lines, their coefficients of \(x\) and \(y\) must be made identical.
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Question 4 of 5
Assertion: A taxi charges a fixed booking fee of ₹50 and ₹12 per kilometre. If \(x\) is the distance in kilometres and \(y\) is the total fare, then \(y=12x+50\).
Reason: In \(y=mx+c\), the \(y\)-intercept \(c\) is the value of \(y\) when \(x=0\).
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Question 5 of 5
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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