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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 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 2 of 7
Assertion (A): The lines represented by the equations \( 2x - 3y = 5 \) and \( 4x - 6y = 7 \) are parallel to each other.

Reason (R): Two non-vertical lines are parallel if and only if their slopes are equal (\( m_1 = m_2 \)).
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Question 3 of 7
Assertion: The three lamp posts located at \((1,1)\), \((3,5)\) and \((5,9)\) lie on one straight road.
Reason: If the distances between every pair of three points are equal, then the three points are collinear.
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Question 4 of 7
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 5 of 7
Assertion (A): The equation of a horizontal line passing through the point \( (3, -4) \) is \( y = -4 \).

Reason (R): The equation of any horizontal line is of the form \( x = a \).
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Question 6 of 7
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 7 of 7
Assertion (A): The distance between the parallel lines \( x + y - 2 = 0 \) and \( x + y - 4 = 0 \) is \( 2 \) units.

Reason (R): The distance between two parallel lines \( Ax + By + C_1 = 0 \) and \( Ax + By + C_2 = 0 \) is given by \( d = \frac{|C_1 - C_2|}{\sqrt{A^2 + B^2}} \).
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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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