\(\sqrt{2}y+ \sqrt{3}=0\) is

1

(a)

a linear equation in one variable

(b)

not a linear equation in one variable

(c)

a linear equation in two variables

(d)

none of these

The equation \(x+\sqrt{2}=0\) has

1

(a)

no solution

(b)

infinitely many solutions

(c)

only one solution

(d)

only two solution

Write a, b, c for the equation 2x=5

1

(a)

2, 0, -5

(b)

0,2,-5

(c)

0,0,-5

(d)

2,0,5

Write a, b, c for the equation x+y=0

1

(a)

1,1,0

(b)

1,-1,0

(c)

-1,1,0

(d)

1,-1,1

Write a, b, c for the equation 2y-x=7

1

(a)

-1,2,-7

(b)

1,2,7

(c)

-1,-2,-7

(d)

-1,-2,7

The equation in 3x+4y=12 has

1

(a)

a unique solution

(b)

no solution

(c)

two solution

(d)

infinitely may solution

Cost of book (x) exceeds twice the cost of pen (y) by Rs,10.This statement can be expressed as linear equation:

1

(a)

x-2y-10=0

(b)

2x-y-10=0

(c)

2x+y-10=0

(d)

x-2y+10=0

The salary of Dr.Harikisham is thrice the salary of Manish Goyal.Write a linear equation in two variables to represent the statement.

1

(a)

x=3

(b)

x+3y=0

(c)

x=3y+3

(d)

x=y+3

The opposite angles of a parallelogram are equal.Write a linear equation in two variables to represent the statement

1

(a)

x+y=0

(b)

x=y

(c)

x=2y

(d)

x+y+1=0

The numerator of a fraction is 1 less than the denominator.Write a linear equation in two variables to represent the statement.

1

(a)

x=y-1

(b)

x+y=0

(c)

x=y

(d)

x+y+1=0

Is ox+oy+c=0, a linear equation?

1

(a)

No(∵ a,b≠0 for a linear equation)

Is x=4, y=0, the solution of y-4=0?

1

(a)

No(∵ 0-4≠0)

If the linear equation has solutions (-5,0),(0,0),(5,-5) then the equation is ______

1

(a)

x+y=0

Find the point where equation 3x+2y=12 intersects y-axis

1

(a)

As the line intersects y-axis, put x=0 in the given equation, we get
3(0)+2y=12
∴ y=16
The required point is (0,6)

If \(\sqrt { 3 } x=\sqrt { 2 } x+1\) , then x is equal to _____

1

(a)

Given, \(\sqrt { 3 } x=\sqrt { 2 } x+1\)
\(\therefore \quad x(\sqrt { 3 } -\sqrt { 2 } )=1\)
\(\therefore \quad x=\frac { 1 }{ \sqrt { 3 } -\sqrt { 2 } } \).

Write  the following as an equation in two variables:
x=-5

2

(a)

Write  the following as an equation in two variables:
2x=3

2

(a)

Find three different solutions for the equation 6x-8y+32=0

2

(a)

Find four different solutions of the equation x+2y6

2

(a)

Write six solutions for the equation 2x+y=7

2

(a)

The cost of a notebook is twice the cost a pen.Write a linear equation in two variables to represent this statement.

5

(a)

Express the following linear equation in the form ax+by+c=0 and indicate the values of a, b and c in each case:
\(x-{y\over 5}-10=0\)

5

(a)

Express the following linear equation in the form ax+by+c=0 and indicate the values of a, b and c in each case:
x=3y

5

(a)

Express x=3y in the form ax+by+c=0 and indicate the values of a, b and c.Write two solutions of the equation.

5

(a)

In an election, a good candidate may lose because 40% of voters do not cast their votes due to various reasons. Form an equation and draw the graph with data. Form the graph, Find:
(i) the total number of voters, if 300 voters cast their votes
(ii) the number of votes cast, if the total number of voters are 1000.
(iii) What is its value. 

5

(a)