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11. The following distribution gives the marks of 50 students of a particular schoolMarksNumber of students0-10 10-20 20-30 30-4040- 50 50- 601213Write the above distribution as "less than type"12. The mean of the following data is 18.75. Find the value of p:cumulative frequency distributionClass mark CxFrequency (D253010Section CQuestion mumbers 13 to 22 carry 3 marks each.13. Show that square of any positive integer is the form Am or 4m + 1, where m is any integer.14. If a and B are the zerocs of the quadratic polynomial fr)-4x +3, find the value of |
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Answer» 13)We know that any positive integer can be of the form 4m or 4m + 1,for some integer m. Thus, anypositive integer can be of the form 4q or 4q + 1. Thus we have(4q)2= 16q2= 4(4q2) = 4m where m = 4q2(4q+1)2= 16q2+ 8q +1 = 4(4q2+2q) +1 = 4m + 1 where m = 4q2+2q.∴ Square of any positive integer is of the form 4m or 4m+1, where m is any integer |
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