NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.2 Straight Lines
NCERT Solutions for Class 11 maths Chapter 10 exercise 10.2 Straight Lines sheds light on the various forms of equations of a line. A point traveling in a straight line can be completely defined using the inputs from coordinate geometry. It is a powerful technique using which one can find out which points lie on the line and thereby can draw a line through them. Also, for a given set of lines, one can find out whether they intersect each other; are parallel to each other; what angle they make or at what point do they intersect.
The equation of a line expressed simply as y= mx+c, tells us everything about a straight line. Questions in this exercise will help the students explore special situations; for example, a line that passes through the origin has its intercept ‘c’ as zero. Similarly, the lines for which slope is zero or infinity are parallel to X or Y axis respectively, further if we make the intercept ‘c’ as zero and also the slope of the line as zero, then the line would in fact be on top of the X-axis itself. We also have the equation of a line x=0 which is essentially a line on top of the Y-axis.
The NCERT solutions Class 11 maths Chapter 10 exercise 10.2 consists of 20 questions, of which 14 are short and 6 are long answer type questions. The questions aim to explore the different forms of the slope of a line. Point-slope, two-point, slope-intercept, and intercepts are all forms to determine the slope of a line given different restrictions. Thus, the equation of a line is like giving a map of the plane created by the X and Y-axis.
To write down the trajectory of the line with the help of a simple algebraic equation is the essence of this exercise. For this, students must understand the nuances that go into using the different formulas to find the slope of a line. The Class 11 maths NCERT solutions Chapter 10 exercise 10.2 Straight Lines in a scrollable PDF format can be found below:
☛ Download NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.2
Exercise 10.2 Class 11 Chapter 10
More Exercises in Class 11 Maths Chapter 10
- NCERT Solutions Class 11 Maths Chapter 10 Ex 10.1
- NCERT Solutions Class 11 Maths Chapter 10 Ex 10.3
- NCERT Solutions Class 11 Maths Chapter 10 Miscellaneous Ex
NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.2 Tips
NCERT solutions Class 11 maths Chapter 10 exercise 10.2 Straight Lines needs to be understood using the different faculties of Mathematics. First is geometry which tells us what a straight line is and how there are special relations between the different straight lines. For example, they can be parallel or perpendicular. Second is the algebraic equations which using the coefficients and variables, tell us about the relations they form. The third is the concept of locus, that is, the trajectory which gets created because of the specific definition of movement of a point equidistant to a fixed point creating a circle.
NCERT Solutions for Class 11 maths Chapter 10 exercise 10.2 Straight Lines outlines the fact that any two points on a straight line are enough to define the locus of the straight line. Then comes the envelope of coordinate geometry, which gives shape to it all. It provides coordinates to the points by virtue of their distance to X and Y-axis, and this, when fed into the algebraic equation, leads to the equation of a line. Solving the equation of two lines gives us the point of their intersection. Like a treasure hunt, once equipped with the co-ordinates of the point, we can find out anything happening with a line or the set of lines, and since it is a set of lines and their intersection which creates different geometrical shapes, we have now mastered a tool to find out anything about the geometrical shapes.
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