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NCERT Class Wise Solutions

#### Questions List of Chapter 3: Pair of Linear Equations in Two Variables

- Question 1 - Aftab tells his daughter, seven years ago, I was seven times as old as you were then
- Question 2 - The coach of a cricket team buys 3 bats and 6 balls for Rs 3900.
- Question 3 - The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160.
- Question 4 - Form the pair of linear equations in the following problems, and find their solutions graphically.
- Question 5 - On comparing the ratios a_1/a_2 , b_1/b_2 , and c_1/c_2 find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide
- Question 6 - On comparing the ratios a_1/a_2 , b_1/b_2 , and c_1/c_2 , find out whether the following pair of linear equations are consistent, or inconsistent.
- Question 7 - Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:
- Question 8 - Half the perimeter of a rectangle garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
- Question 9 - 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
- Question 10 - 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.
- Question 11 - Solve the following pair of linear equations by the substitution method.
- Question 12 - Solve and hence find the value of m for which y = mx + 3
- Question 13 - Form a pair of linear equations for the following problems and find their solution by substitution method.
- Question 14 - Solve the following pair of linear equations by the elimination method and the substitution method:
- Question 15 - Form the pair of linear equations in the following problems, and find their solutions
- Question 16 - Which of the following pairs of linear equations has a unique solution, no solution, or infinitely many solutions
- Question 17 - For which values of a and b does the following pair of linear equations have an infinite number of solutions
- Question 18 - Solve the following pair of linear equations by the substitution and cross-multiplication methods
- Question 19 - Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method
- Question 20 - Solve the following pairs of equations by reducing them to a pair of linear equations
- Question 21 - Formulate the following problems as a part of equations, and hence find their solutions.
- Question 22 - The age of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy.
- Question 23 - One says Give me a hundred friend I shall then become twice as rich as you
- Question 24 - A train covered a certain distance at a uniform speed If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time

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