Teachoo Quiz

Short Quiz

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

Attempt time 0:00
This question 0:00
Question 1 of 5
Advertisement
Question 1 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 \( \tan \theta = \left|\frac{m_2 - m_1}{1 + m_1 m_2}\right| \).
Select an option to see the answer, or skip this question.
Question 2 of 5
Assertion: The line \(x=4\) has an undefined slope.
Reason: For any two distinct points on \(x=4\), the difference of their \(x\)-coordinates is zero.
Select an option to see the answer, or skip this question.
Question 3 of 5
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.
Select an option to see the answer, or skip this question.
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 \(x=0\).
Select an option to see the answer, or skip this question.
Question 5 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 \(y\).
Select an option to see the answer, or skip this question.
Stuck? Keep your progress moving.