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Straight Lines EXERCISE 9.1 Solutions
- Q1: Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
- Q2: The base of an equilateral triangle with side $2a$ lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
- Q3(i): Find the distance between P ($x_1$, $y_1$) and Q ($x_2$, $y_2$) when : (i) PQ is parallel to the y-axis
- Q3(ii): Find the distance between P ($x_1$, $y_1$) and Q ($x_2$, $y_2$) when : (ii) PQ is parallel to the x-axis.
- Q4: Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).
- Q5: Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, – 4) and B (8, 0).
- Q6: Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle.
- Q7: Find the slope of the line, which makes an angle of $30^\circ$ with the positive direction of y-axis measured anticlockwise.
- Q8: Without using distance formula, show that points (– 2, – 1), (4, 0), (3, 3) and (–3, 2) are the vertices of a parallelogram.
- Q9: Find the angle between the x-axis and the line joining the points (3,–1) and (4,–2).
- Q10: The slope of a line is double of the slope of another line. If tangent of the angle between them is $\frac{1}{3}$, find the slopes of the lines.
- Q11: A line passes through ($x_1$, $y_1$) and ($h$, $k$). If slope of the line is $m$, show that $k – y_1 = m (h – x_1)$.
Other Exercises for CBSE - Class 11 Mathematics Straight Lines
Chapters in CBSE - Class 11 Mathematics
Top Tutors who teach Straight Lines
Top Tutor 
Sector 5, Gurgaon 
14 yrs of Exp 
5 students 
2350 hrs of classes completed 
500 per hour 
Online Classes 
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Top Tutor South Extension II, Delhi 20 yrs of Exp 5 students 214 hrs of classes completed 1200 per hour 
Student's Home I have taught in Cambridge School, Delhi as a PGT PHYSICS, coaching Institutes like Aakash and FIIT-JEE for NEET & IIT-JEE. Worked as a Senior Evaluator, CBSE. Many students got a perfect hundred in class 11th. My teaching methodology for this section is to teach the CONCEPTs very well and apply them to problem-solving. Derivations are also important in class 11th. Make sure you know the important derivations.
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