S Chand ICSE Mathematics Class 9 Solution Tenth Chapter Pythagoras Theorem Exercise 10B (1) ABCD is a square, prove that AC2 = 2AB2 (2) In Fig. 10.26, AB = BC = CA = 2a and segment AD ⊥ side BC, Show that (i) AD = a √3, (ii) area of ΔABC = a2√3 Solution: (3) […]

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## S Chand ICSE Mathematics Class 9 Solution Tenth Chapter Pythagoras Theorem Exercise 10A (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Tenth Chapter Pythagoras Theorem Exercise 10A (1) In a right angled triangle ABC, c is the length of the hypotenuse, and a and b are other two sides. (i) If a = 6 and b = 8, then find c. (ii) If c = 25 and a = […]

## S Chand ICSE Mathematics Class 9 Solution Seventh Chapter Logarithm Exercise 7C (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Seventh Chapter Logarithm Exercise 7C If log 2 = 0.3010, log 3 = 0.4771, log 5 = 0.6990, log 7 = 0.8451 and log 11 = 1.0414, find the following: (1) log 6 (2) log 12 (3) log 15 (4) log 200 (5) log 36 (6) log 80 […]

## S Chand ICSE Mathematics Class 9 Solution Seventh Chapter Logarithms Exercise 7B (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Seventh Chapter Logarithms Exercise 7B (1) Express each sum or difference as a single logarithm. (i) log 6 + log 5 = log (6 x 5) = log30 (ii) log 12 – log 2 = log (12/2) = log6 (iii) log3 5 + log3 2 + log3 4 […]

## S Chand ICSE Mathematics Class 9 Solution Seventh Chapter Logarithms Exercise 7A (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Seventh Chapter Logarithms Exercise 7A (1) Give an equivalent exponential form for each statement: (i) log2 8 = 3 (ii) log3 81 = 4 (iii) log2 ½ = -1 (iv) log5 1/25 = -2 (v) ½ = log4 2 (vi) 1/3 = log27 3 Solution: (2) Give an […]

## S Chand ICSE Mathematics Class 9 Solution Thirteenth Chapter Circle Exercise 13A (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Thirteenth Chapter Circle Exercise 13A (1) Calculate the length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm. (2) In Fig. 13.30, the radius of the given circle, with centre C, is 6 cm if the […]

## S Chand ICSE Mathematics Class 9 Solution Fourteenth Chapter Introduction Data and Frequency Distributions Exercise 14 (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Fourteenth Chapter Introduction Data and Frequency Distributions Exercise 14 (1) Fill in the blanks (i) The difference between the maximum and minimum observations in a set of data is called the _____ of the data. Solution: Range (ii) The number of observations in a particular class inte7rval is […]

## S Chand ICSE Mathematics Class 9 Solution Fifteenth Chapter Mean Median and Frequency Polygon Exercise 15B (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Fifteenth Chapter Mean Median and Frequency Polygon Exercise 15B Find the median of the following: (1) 2, 3, 5, 7, 9 Solution: Median = (5 + 1 / 2) = 3th turn = 5 (2) 4, 8, 12, 16, 20, 24, 28, 32 Solution: Median = ½ {(8/2)th […]

## S Chand ICSE Mathematics Class 9 Solution Fifteenth Chapter Mean Median and Frequency Polygon Exercise 15A (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Fifteenth Chapter Mean, Median and Frequency Polygon Exercise 15A (1) Find the Mean of each of the following set of numbers: (i) First 5 natural numbers Solution: Fist 5 natural numbers are 1,2,3,4,5 ∴ Mean = 1 + 2 + 3 + 4 + 5 / 5 = […]

## S Chand ICSE Mathematics Class 9 Solution Second Chapter Compound Interest Exercise 2D (O.P. Malhotra, S.K. Gupta, Anubhuti Gangal)

S Chand ICSE Mathematics Class 9 Solution Second Chapter Compound Interest Exercise 2D (1) The cost of a machine depreciates by 10% every year. If its present worth is Rs. 18000, what will be its value after 3 years? Solution: (2) The population of a town increases by 20% every year. If its present population […]