 # Chapter 10 Straight Lines

In earlier classes, you have read about lines in the Euclid geometry section. That is just an introduction but now we go in depth of lines and its various aspects. Concepts of lines are very essential to know about conics and 2d-3d geometry, which we will discuss later. This chapter consists of basics of 2d geometry, shifting of origin, slope of line, angle between two lines, various forms of equation of line point - slope form slope intercept form, two points form, intercept form, normal form, etc., general equation of line, distance of a point from a line, equation of family of lines.

Download pdf of NCERT Solutions for Class Mathematics Chapter 10 Straight Lines

Download pdf of NCERT Examplar with Solutions for Class Mathematics Chapter 10 Straight Lines

### Exercise 1

•  Q1 Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area. Ans: Our experts will give the answer soon. 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. Ans: Our experts will give the answer soon. Q3 Find the distance between P (x1, y1) and Q (x2, y2) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis. Ans: Our experts will give the answer soon. Q4 Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4). Ans: Our experts will give the answer soon. 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). Ans: Our experts will give the answer soon.