**Ex 3.2 Class 10 Maths Question 1.**

Form the pair of linear equations of the following problems and find their solutions graphically:

(i) 10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.

(ii) 5 pencils and 7 pens together cost Rs.50, whereas 7 pencils and 5 pens together cost Rs.46. Find the cost of one pencil and that of one pen.

**Solution for Ex 3.2 Class 10 Maths Question 1**

**Solution for Ex 3.2 Class 10 Maths Question 1**

**Ex 3.2 Class 10 Maths Question 2.**

**Ex 3.2 Class 10 Maths Question 3.**

**Solution for Ex 3.2 Class 10 Maths Question 3**

**Solution for Ex 3.2 Class 10 Maths Question 3**

**Ex 3.2 Class 10 Maths Question 4.**

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically.

(i) x + y = 5, 2x + 2y = 10

(ii) x-y – 8, 3x – 3y = 16

(iii) 2x + y – 6 = 0, 4x – 2y – 4 = 0

(iv) 2x – 2y – 2 = 0, 4x – 4y – 5 = 0

**Solution for Ex 3.2 Class 10 Maths Question 4**

**Solution for Ex 3.2 Class 10 Maths Question 4**

**Ex 3.2 Class 10 Maths Question 5.**

Half the perimeter of a rectangular garden, whose length is 4 m more than its width is 36 m. Find the dimensions of the garden graphically.

**Solution for Ex 3.2 Class 10 Maths Question 5**

**Solution for Ex 3.2 Class 10 Maths Question 5**

**Ex 3.2 Class 10 Maths Question 6.**

Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:**(i)** intersecting lines**(ii)** parallel lines**(iii)** coincident lines

**Solution for Ex 3.2 Class 10 Maths Question 6**

**Solution for Ex 3.2 Class 10 Maths Question 6**

**Ex 3.2 Class 10 Maths Question 7.**

Draw the, graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

**Solution for Ex 3.2 Class 10 Maths Question 7**

**Solution for Ex 3.2 Class 10 Maths Question 7**