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Exercise Solutions 10.1class 11 Maths NCERT Solutions Chapter 10 Straight Lines

Class 11 Maths NCERT Solutions Chapter 10 Straight Lines is developed and witten by our expert teachers. Students can study our solutions of Chapter 10 Straight Lines class 11 Maths, 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and (–4, –2). Also, find its area., 2. 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., 3. Find the distance between P (x1, y1 and Q (x2, y2) when : (i) PQ is parallel to they-axis, (ii) PQ is parallel to the x-axis. , 4. Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4). , 5. 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)., 6. Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle., 7. Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise., 8. Find the value of x for which the points (x, – 1), (2,1) and (4, 5) are collinear. , 9. Without using distance formula, show that points (– 2, – 1), (4, 0), (3, 3) and (–3, 2) are the vertices of a parallelogram. , 10. Find the angle between the x-axis and the line joining the points (3,–1) and (4,–2). , 11. The slope of a line is double of the slope of

NCERT Solutions Class 11 Maths
Chapter 10 Straight Lines
Exercise 10.1 Answers

=1. Draw a quadrilateral in the Cartesian plane, whose vertices are (–4, 5), (0, 7), (5, –5) and (–4, –2). Also, find its area.

1. Draw a quadrilateral in the

=2. 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.

2. The base of an equilateral triangle

=3. Find the distance between P (x1, y1 and Q (x2, y2) when : (i) PQ is parallel to they-axis, (ii) PQ is parallel to the x-axis.

3. Find the distance between P (x1,

=4. Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).

4. Find a point on the x-axis, which is

=5. 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).

5. Find the slope of a line, which

=6. Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle.

6. Without using the Pythagoras

=7. Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.

7. Find the slope of the line, which

=8. Find the value of x for which the points (x, – 1), (2,1) and (4, 5) are collinear.

8. Find the value of x for which the

=9. Without using distance formula, show that points (– 2, – 1), (4, 0), (3, 3) and (–3, 2) are the vertices of a parallelogram.

9. Without using distance formula, show

=10. Find the angle between the x-axis and the line joining the points (3,–1) and (4,–2).

10. Find the angle between the x-axis

=11. The slope of a line is double of the slope of another line. If tangent of the angle between them is 1/3, find the slopes of the lines.

11.   The slope of a line is double of

=12. A line passes through (x1, y1) and (h, k). If slope of the line is m, show that k – y1 = m (h – x1).

12. A line passes through (x1, y1) and

=13. If three points (h, 0), (a, b) and (0, k) lie on a line, show that a/h + b/k = 0

13. If three points (h, 0), (a, b) and

=14. Consider the following population and year graph (Fig 10.10), find the slope of the line AB and using it, find what will be the population in the year 2010?

14. Consider the following population

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