Teachoo Quiz

Short Quiz

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

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Question 1 of 5
Question 1 of 5
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 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 3 of 5
Assertion: The equation of the line through \((1,2)\) and parallel to \(3x-2y+5=0\) is \(3x-2y+1=0\).
Reason: Parallel lines written in general form have proportional coefficients of \(x\) and \(y\).
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Question 4 of 5
Assertion: If the \(x\)-axis acts as a plane mirror, the image of the point \((2,3)\) is \((-2,3)\).
Reason: Reflection in the \(x\)-axis keeps the \(x\)-coordinate unchanged and reverses the sign of the \(y\)-coordinate.
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Question 5 of 5
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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