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Straight Lines EXERCISE 9.2 Solutions
- Q1: Write the equations for the x-and y-axes.
- Q2: Passing through the point (– 4, 3) with slope $\frac{1}{2}$.
- Q3: Passing through (0, 0) with slope $m$.
- Q4: Passing through ($2, 2\sqrt{3}$) and inclined with the x-axis at an angle of $75^\circ$.
- Q5: Intersecting the x-axis at a distance of 3 units to the left of origin with slope –2.
- Q6: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of $30^\circ$ with positive direction of the x-axis.
- Q7: Passing through the points (–1, 1) and (2, – 4).
- Q8: The vertices of $\Delta$ PQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R.
- Q9: Find the equation of the line passing through (–3, 5) and perpendicular to the line through the points (2, 5) and (–3, 6).
- Q10: A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1: $n$. Find the equation of the line.
- Q11: Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).
- Q12: Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.
- Q13: Find equation of the line through the point (0, 2) making an angle $\frac{2\pi}{3}$ with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.
- Q14: The perpendicular from the origin to a line meets it at the point (–2, 9), find the equation of the line.
- Q15: The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if $L = 124.942$ when $C = 20$ and $L= 125.134$ when $C = 110$, express $L$ in terms of $C$.
- Q16: The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs 14/litre and 1220 litres of milk each week at Rs 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs 17/litre?
- Q17: P ($a$, $b$) is the mid-point of a line segment between axes. Show that equation of the line is $\frac{x}{a} + \frac{y}{b} = 2$.
- Q18: Point R ($h$, $k$) divides a line segment between the axes in the ratio 1: 2. Find equation of the line.
- Q19: By using the concept of equation of a line, prove that the three points (3, 0), (– 2, – 2) and (8, 2) are collinear.
Other Exercises for CBSE - Class 11 Mathematics Straight Lines
Chapters in CBSE - Class 11 Mathematics
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