MATHS ACTIVITIES FOR CLASS IX

(1) To construct a square root spiral

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Pair of linear equation s class 10 imp

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  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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Zero Tax Till 12 Lakhs

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  Question comes in mind that when there is no tax till 12  lakhs income in the latest union budget which will applicable from 1 April 25 then why  these new tax slabs are introduced.  Actually there is very simple  calculation behind this.  Government says that till the  Income 12 lakhs these slaps will  not be appreciate because one  will be given rebate under 87 A.  so ones tax will be zero.  If one earns even Rs 1 extra  then 12 lakhs then these slabs will be appreciate.  In this budget government is giving standard deduction of  Rs 75000 also, so we can say that there will be zero Tax till the income of 12,75,000. standard deviation means  first Rs 75000 will be deducted from your income then you  will get Taxable income.  This is my understanding and if you think that this is helpful then Thanks , If you think that  this is not true then you can  make ne clear also by means of comments....
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Inflation

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Inflation is there and it force everyone to increase one's own income. At present it is said around 7%0Inflation is there. It means things are costly at rate of 7% per year. If a thing can be purchased at Rs 100 then same thing will come at Rs 107 next year.  So if you are keeping your money in bank where you are getting 7 % 0interest  then actually you are just maintaining your purchasing power but when you pay the  tax on the interest then you are losing your purchasing power.  Therefore investment must be  in such options where you get more return then rate of inflation.  Options are available to beat the inflation are , one should invest in Mutual Funds Share Market Property Gold Bonds FDs..... etc.  If one does not invest for maximum return then his money will not grow and one's financial conditions will not  improve. So invest wisely to   beat the inflation. These are  my views, you can consult your financial advisor regarding infl...
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