NCERT Class 9 Solutions: Linear Equation in Two Variable (Chapter 4) Exercise 4.2 – Part 2

Following figure explains how to find x and y intercepts.

Give figure of finding a and y intercepts,equation is x-2y=4,then meet the (x,y)=(4,-2)

Give Figure of Finding a and Y Intercepts

Give figure of finding a and y intercepts,equation is x-2y=4,then meet the (x,y)=(4,-2)

Q-3 Check which of the following are solutions of the equation Equation and which are not:

  1. Equation

  2. ( Equation

  3. Equation

  4. Equation

  5. Equation

Solution:

  • Given the equation Equation

  • A point is a solution to this equation, if it lies on the graph of the equation. That is the equation is satisfied when we put in corresponding coordinates and L.H.S Equation R.H.S

  1. Equation

    Putting Equation and Equation in the L.H.S of the given equation,

    Equation

    L.H.S Equation R.H.S

    Therefore, Equation is not a solution of this equation.

  2. Equation

    Putting Equation and Equation in the L.H.S of the given equation,

    Equation

    L.H.S Equation R.H.S

    Therefore, Equation is not a solution of this equation.

  3. Equation

    Putting Equation and Equation in the L.H.S of the given equation,

    Equation R.H.S

    Therefore, Equation a solution of this equation.

  4. Equation

    Putting Equation and Equation in the L.H.S of the given equation,

    Equation

    L.H.S Equation R.H.S

    Therefore, Equation is not a solution of this equation.

  5. Equation

    Putting Equation and Equation in the L.H.S of the given equation,

    Equation

    L.H.S Equation R.H.S

    Therefore, Equation is not a solution of this equation.

Q-4 Find the value of k, if Equation is a solution of the equation Equation

Solution:

  • Give the equation of Equation

  • Since Equation and Equation is a solution to the equation, it must satisfy the equation

    Thus, Equation Equation

  • So, the value of Equation is Equation

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