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Ex3.1 Q1(ii) Class10 | Pair of Linear Equation in Two Variable l Class10 Maths l ft. Quixter Classes

class10th mathematics
Chapter 3
Pair of Linear Equationd in Two Variables
Exercise 3.1 Question 1(i)
#Chapter3 #class10chapter3

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class 10 maths exercise 3.1 question 1
class 10 maths exercise 3.1 question 2
class 10 maths exercise 3.1 question 3
class 10 maths exercise 3.1 question 4
class 10 maths exercise 3.1 question 5
class 10 maths exercise 3.1 question 6
class 10 maths exercise 3.1 question 7


1. Form the pair of linear equations in 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 ` 50, whereas 7 pencils and 5 pens together
cost ` 46. Find the cost of one pencil and that of one pen.

2. find out whether the lines representing the
following pairs of linear equations intersect at a point, are parallel or coincident:

(i) 5x – 4y + 8 = 0 , 7x + 6y – 9 = 0
(ii) 9x + 3y + 12 = 0
, 18x + 6y + 24 = 0
(iii) 6x – 3y + 10 = 0
, 2x – y + 9 = 0

3. On comparing the ratios, find out whether the following pair of linear
equations are consistent, or inconsistent.

(i) 3x + 2y = 5 ; 2x – 3y = 7
(ii) 2x – 3y = 8 ; 4x – 6y = 9
(iii) 3/2x + 5/3y = 7 ; 9x – 10y = 14
(iv) 5x – 3y = 11 ; – 10x + 6y = –22
(v)
4/3x + 2y = 8 ; 2x + 3y = 12

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

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.

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

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.

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