A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. number of plants 0-1 2-4 4-6 6-10 8-10 10-12 12-14 number of… Continue reading Statistics- Exercise 14.1 – Class 10

# Tag: 10th maths

## Some Applications of Trigonometry – Exercise – Class 10

continued part of Some Applications of Trigonometry -Class 10 10.Two poles of equal heights are standing opposite each other and either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30º, respectively. Find the height… Continue reading Some Applications of Trigonometry – Exercise – Class 10

## Some Applications of Trigonometry – Exercise 9.1-Class 10

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30 °. Solution: It can be observed from the figure that… Continue reading Some Applications of Trigonometry – Exercise 9.1-Class 10

## Linear equations in two variables – Exercise 3.5 – Class 10

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method. (i) x - 3y - 3 = 0 3x - 9y - 2 = 0 (ii) 2x + y = 5 3x + 2y… Continue reading Linear equations in two variables – Exercise 3.5 – Class 10

## Linear equations in two variables – Exercise 3.3 – Class 10

Solve the following pair of linear equations by the substitution method. (i) x + y = 14 x – y = 4 (ii) s – t = 3 s/3 + t/2 = 6 (iii) 3x – y = 3 9x – 3y = 9 (iv) 0.2 x + 0.3y = 1.3 0.4 x + 0.5… Continue reading Linear equations in two variables – Exercise 3.3 – Class 10

## Linear equations in two variables – Exercise 3.1 – Class 10

1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically. Solution: Let the present age of Aftab be x and the present… Continue reading Linear equations in two variables – Exercise 3.1 – Class 10

## Areas Related to Circles – Exercise 12.1 – Class 10

The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles. Solution: Radius (r1) of 1st circle = 19 cm Radius (r2) or 2nd circle = 9 cm Let the radius of 3rd circle… Continue reading Areas Related to Circles – Exercise 12.1 – Class 10

## Probability – Exercise 15.1 – Class 10

1. Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = _______. (ii) The probability of an event that cannot happen is _________. Such as event is called _________. (iii) The probability of an event that is certain to happen is _________. Such as event is called ________.… Continue reading Probability – Exercise 15.1 – Class 10

## Polynomials – Exercise 2.4 – Class 10

1. Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also verify the relationship between the zeroes and the coefficients in each case: (i) 2x3 + x2 – 5x + 2; 1/2 , 1, -2 (ii) x3 - 4x2 + 5x – 2; 2,1,1 Solution: (i) 2x3 + x2 – 5x… Continue reading Polynomials – Exercise 2.4 – Class 10

## Polynomials – Exercise 2.3 – Class 10

1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x3 – 3x2 + 5x – 3 ; g(x) = x2 – 2 (ii) p(x) = x4 – 3x2 + 4x + 5 ; g(x) = x2 + 1 – x (iii) p(x)… Continue reading Polynomials – Exercise 2.3 – Class 10