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
