Let allow ourself to dream of having such railway service in our country.If we determine ourself to work on time then it will be a first step in the direction to achieve this.Government try its best to implement good services but it is very difficult to implement such services in true spirits because in our country there are many problems such as over population,illiteracy,lower economic conditions ... by reading this article in Dainik Bhaskar on 18nov2017 ,l think at least we should try ourself to adopt some good habits so that at least we can imagine to have such facility in our country in near future.
Pair of linear equation s class 10 imp
Question 1. Draw the graph of 2x + y = 6 and 2x – y + 2 = 0. Shade the region bounded by these lines and x-axis. Find the area of the shaded region. [CBSE 2007] Solution: The given system of equation is 2x + y – 6 = 0 ………. (i) 2x – y + 2 = 0 ……… (ii) solutions for each equation of the system are: (i) ⇒ y = 6 – 2x Table of solutions for 2x + y – 6 = 0 Similarly Table of solutions for 2x – y + 2 = 0 Plotting these on the graph These intersect at (1, 4), so this is the solution. In graph, area bounded by the lines and x-axis is ∆PAB which is shaded. Draw PM ⊥ x-axis PM = y-coordinate of P (1, 4) = 4 units and AB = 1 + 3 = 4 units ∴ Area of shaded region = Area of ∆PAB = 1 2 × AB × PM = 1 2 × 4 × 4 = 8 sq. units.
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