Chapter 3 – Pair of Linear Equations in Two Variables
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The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.
22
Nov
The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father. his age will be equal to the sum of the ages of his children. Find the [...]
Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?
22
Nov
Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now? he will be four years older than twice her age. How old are they now? Salim was thrice as old as his daughter and six [...]
The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y.
22
Nov
The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y. The angles of a triangle are x y and 40°. The difference between the two angles x and y is 30°. Find x and y. November 22, 2020 Category: Chapter [...]
If (x + 1) is a factor of 2x^3 + ax^2 + 2bx + 1, then find the values of a and b given that 2a – 3b = 4.
22
Nov
If (x + 1) is a factor of 2x^3 + ax^2 + 2bx + 1, then find the values of a and b given that 2a – 3b = 4. If (x + 1) is a factor of 2x^3 + ax^2 + 2bx + 1 then find the values of a and b given that [...]
Write an equation of a line passing through the point representing solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find?
22
Nov
Write an equation of a line passing through the point representing solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find? Write an equation of a line passing through the point representing solution of the pair of linear equations x [...]
Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the triangle formed by these lines and the y-axis. Also, find the area of this triangle?
22
Nov
Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the triangle formed by these lines and the y-axis. Also, find the area of this triangle? Draw the graph of the pair of equations 2x + y = 4 and 2x - [...]
By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them. (iii) x + y = 3, 3x + 3y = 9
22
Nov
By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them. (iii) x + y = 3, 3x + 3y = 9 3x + 3y = 9 By the graphical method find whether the following pair of equations are consistent or not. If consistent solve them. (iii) [...]
By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them. (ii) x – 2y = 6, 3x – 6y = 0
22
Nov
By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them. (ii) x – 2y = 6, 3x – 6y = 0 3x – 6y = 0 By the graphical method find whether the following pair of equations are consistent or not. If consistent solve them. (ii) [...]
By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them. (i) 3x + y + 4 = 0, 6x – 2y + 4 = 0
22
Nov
By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them. (i) 3x + y + 4 = 0, 6x – 2y + 4 = 0 6x – 2y + 4 = 0 By the graphical method find whether the following pair of equations are consistent or [...]
Find the solution of the pair of equations x/10 + y/5 − 1 = 0 and x/8 + y/6 = 15. Hence, find λ, if y = λx + 5.
22
Nov
Find the solution of the pair of equations x/10 + y/5 − 1 = 0 and x/8 + y/6 = 15. Hence, find λ, if y = λx + 5. Find the solution of the pair of equations x/10 + y/5 − 1 = 0 and x/8 + y/6 = 15. Hence find λ if [...]