The last time this world changed a lot was with the invention of the internet! Can you imagine ever living without the ever-present Google or… 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 27. If A = B = 60°, verify that (i) cos(A − B) = cos A cos B + sin A sin B Solution: … Read More

Question 1. Form the differential equation of the family of curves represented by y2 = (x – c)3 Solution: y2 = (x – c)3 … 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

Independent sets are set of vertices or edges in which the pair of any two vertices or edges are not adjacent to each other. Assuming… 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 4. Find the squares of the following numbers: (i) 425 Solution: 425 = 420 + 5 = (42 x 10) + 5 Here, n… 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. Find the square of the following numbers using column method. Verify the squares using the usual multiplication. (i) 25 Solution: Here, we will… 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

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