# Category Archives: NCERT

In each of the exercises 1 to 5, from a differential equation representing the given family of curves by eliminating arbitrary constraints a and b.… Read More
Question 1. Find the square root of each of the following numbers by Division method. (i) 2304  Solution: Step 1: Place a bar over every… Read More
Differentiate the function with respect to x in Question 1 to 8 Question 1. Sin(x2 + 5) Solution:  y = sin(x2 + 5)  =  =… Read More
Question 1. Find the rate of change of the area of a circle with respect to its radius r when a) r=3cm b) r=4cm Solution:… Read More
Question 1. The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju… Read More
Question 1. Solve the following pairs of equations by reducing them to a pair of linear equations: (i)     Solution: Lets, take 1/x = a and 1/y… Read More
Question 1. The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12… Read More
Question 1. How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word… Read More
Question 1. The following distribution gives the daily income of 50 workers if a factory. Convert the distribution above to a less than type cumulative… Read More
Theorem 1: (a+b)n =  nCk an-k bk  Here, the coefficients nCk are known as binomial coefficients. Theorem 2: (a–b)n =  (-1)n nCk an-k bk Expand each of… Read More
Question 1. The following frequency distribution gives the monthly consumption of electricity of 68 consumers in a locality. Find the median, mean, and mode of… Read More
Theorem 6.1 : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the… Read More
Question 1. Find the roots of the following quadratic equations, if they exist, by the method of completing the square: (i) 2x2– 7x + 3… Read More
Question 1. Fill in the blanks in the following table, given that a is the first term, d the common difference, and an the nth… Read More
Question 1. The following table shows the ages of the patients admitted in a hospital during a year: Age (in years) 5-15 15-25 25-35 35-45… Read More