# NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines prepared by the Mathematics subject experts. All the important topics in Straight Lines are covered in the exercises and each answer comes with a detailed explanation to help students understand concepts better. These Class 11 Maths NCERT solutions play a crucial role in your preparation for all exams conducted by the CBSE, including the JEE.

### NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines Exercise.10.1

Topics and Sub Topics in Class 11 Maths Chapter 10 Straight Lines:

 Section Name Topic Name 10 Straight Lines 10.1 Introduction 10.2 Slope of Line 10.3 Various Forms of the Equation of Line 10.4 General Equation of Line 10.5 Distance of a Point From a Line

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### Maths NCERT Solutions Class 11 Maths Chapter 10 Exercise.10.1

Q-1. Construct a quadrilateral in the Cartesian plane with vertices (-2, 5), (0, 6), (4, -4) and (-3, -1). Also, find the area of the quadrilateral.

Q-2. Consider an equilateral triangle, each of whose sides are 2b which lies on the y- axis in such a manner that, the mid- point of each of its base is at the origin. Obtain all the vertices of the equilateral triangle.

Q-3. What is the distance between X (a1, b1) and Y (a2, b2) if:

(a) XY is parallel to x- axis

(b) XY is parallel to y- axis

Q-4. Consider two points (6, 5) and (4, 2). Get a point on the y- axis which is equivalent from the given two points.

Q-5. What is the slope of a line passing through the origin and, the mid- point of the line- segment joining the two points O (0, -5) and A (9, 0)?

Q-6. Prove that the points (5, 5), (4, 6) and (-2, -2) are the vertices of the right- angled triangle, without using Pythagoras theorem.

Q-7. What is the slope of the line which makes an angle 60 along the positive direction of the Y- axis which is measured in anticlockwise sequence.

Q-8. What will be the value of a so that the points (a, -2), (3, 2) and (5, 6) get collinear to each other?

Q-9. Prove that the points (-3, -2), (5, 0), (4, 4) and (-4, 2) are the vertices of a parallelogram without using the distance formula.

Q-10. Consider two points (4, -2) and (5, -3). What is the angle between the x- axis and the line joining the given two points?

Q-12. Consider a line passing through two points (a1, b1) and (j, k). Assume that the slope of the line passing through these points is m. Prove that:

k – b1 = m (j – a1).

Q-14. Take the records of population and year graph given below. What will be the slope of the line XY? By using this, find the population in the year 2005.

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