Practice sheet Class Xth (Linear Equations in two vaiables)


Linear Equations in two vaiables

Class Xth   Practice sheet

1.    smIkrn nMU hl kro     Solve the equation:        3x + y =   6  ;  2x +  y = 4  

2.       x dw ivlopx krky smIkrn pRxwlI nUM h`l kro    Solve the given Equation by eliminating  x

3x-y =3  ; 7x +2y = 20

3.       ax+ by = c  ikMny clW iv`c ryKI smIkrn hY [   How many variables in linear equation  ax + by =c 

4.       jy do ryKwvW smWqr hox qW ies siQqI iv`c smIkrx dy ikMny hl hoxgy  If two linear equation represents  parallel line then how many solutions are there .       

5.       2x + 3 y = 4    iv`c   y dw guxWk kI hY [  What is the coefficient of  y  in   2x + 3 y = 4   .  

6.       ax  +  2y =  5   and  13x  +  3 y  =15       smIkrx iv`c ‘a’ dw mu`l pqw kro jdoN ik smIkrx dw ix`k h`l hovy [ What is the value of ‘a’when the  above Equation has unique solution .

7.       smIkrx pRxwlIAW iv`c dso ik iks smIkrx pRxwlI dw ie`k h`l ,koeI hl nhIN jW Anyk h`l hn [Which equation has unique solution , no solution or infinite solution

i)   5x -2y = 7  and  3x + 4y =6      ii)      x – y =6  and   3x +5y = 8        iii)     x – 2y =4 and 3x -6y = 1    

8.       AwlyK iK`co  Draw the graph of the following equations      x+ y =5   and   3 x +  3y  =  15   

9.       iksy  iBMn dy hr iv`c 5 joVn Aqy AMS iv`c 5 Gtwaux nwl  1/7 pRwpq hMdw hY [ jykr ausdy AMS iv`c 3 GtwieAw jwvy Aqy ausdy hr iv`c 3 joiVAw jwvy qW 1/3 pRwpq huMdw hY [ auh iBMn pqw kro [

A fraction becomes 1/7 when  5 is added to denominator and 5 is subtracted from numerator . Fraction also become 1/3 when 3 is subtracted from numerator and 3 is added to its denominator . find the fraction

10.   iksy  iBMn dy hr  Aqy AMS dohW iv`c 2 joiVAw jwvy qW 4/5 pRwpq hMdw hY [ jykr ausdy AMS Aqy hr dohW iv`coN pMj pMj

Gtw dyeIey qW 1/2 pRwpq huMdw hY [ auh iBMn pqw kro [

A fraction becomes 4/5  when  2 is added to both denominator and  numerator . Fraction also become 1/2 when 5 is subtracted both from numerator and  denominator . find the fraction