CLASS:- 9 EXERCISE:- 4.4 LINEAR EQUATIONS IN TWO VARIABLES ALL SOLUTION

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EXERCISE 4.1 EXERCISE 4.2 EXERCISE 4.3

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1.    Give the geometric representations of ` \y = 3\ ` as an equation

(i)  in one variable

(ii)  in two variables

solution :

(i)  In one variable,

  ` \y=3\ `

(ii)  In two variable,

  ` \0x+y=3\ `

  When ` \x=0\ `,

  ⇒ ` \0×0+y=3\ `

  ⇒ ` \y=3\ `

  When ` \x=1\ `,

  ⇒ ` \0×1+y=3\ `

  ⇒ ` \y=3\ `

` \x\ `	0	1
` \y\ `	3	3

  The points to be plotted are (0,3) and (1,3).

2.    Give the geometric representations of ` \2x + 9 = 0\ ` as an equation

(i)  in one variable

(ii)  in two variables

solution :

(i)  In one variable,

  ` \2x+9=0\ `

  ⇒ `\2x=-9\ `

  ⇒ `\x=\frac{-9} {2}\ `

  ⇒ `\x=-4.5\ `

(ii)  In two veriables,

  `\2x+0y+9=0\ `

  When ` \y=0\ `,

  ⇒ `\2x+0×0+9=0\ `

  ⇒ `\2x=-9\ `

  ⇒ `\x=\frac{-9} {2}\ `

  ⇒ `\x=-4.5\ `

  When ` \y=1\ `,

  `\2x+0y+9=0\ `

  ⇒ `\2x+0×1+9=0\ `

  ⇒ `\2x=-9\ `

  ⇒ `\x=\frax{-9} {2}\ `

  ⇒ `\x=-4.5 \ `

` \x\ `	−4.5	−4.5
` \y\ `	0	1

  The points to be plotted are (−4.5,0) and (−4.5,1).

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EXERCISE 4.1 EXERCISE 4.2 EXERCISE 4.3