\(\sqrt{2}y+ \sqrt{3}=0\) 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

A linear equation in two variables has infinitely many solutions which can be represented on

1

(a)

a number line

(b)

a circle

(c)

a square

(d)

the Cartesian plane

The general  form of a linear equation in two variables is:

1

(a)

ax+by+c=0, where a,b,c are real numbrs and a, b≠0

(b)

ax+b=0, where a, b are real numbers and a≠b

(c)

ax²+bx+c=0, where a,b,c are real numbers and a, b≠0

(d)

None of these

The condition that the equation ax+by+c=0 represents a linear equation in two variables is:

1

(a)

a≠0, b=0

(b)

b≠0, a=0

(c)

a=0, b=0

(d)

a≠0, b≠0

The equation 2x=3 in two variables is of the form:

1

(a)

2.x+3.y=0

(b)

2.x+0.y=3

(c)

\({2\over3}.x+0.y=3\)

(d)

1.x+\(2\over3\).y=1

Which of the following is a linear equation in one variable?

1

(a)

2x+y=0

(b)

x²=5x+3

(c)

5x+y²+3

(d)

x+5=6

which of the following is a linear equation?

1

(a)

x²+4x-3=-(x²-1)

(b)

x²=3x+4

(c)

x+\(1\over x\)=5

(d)

(x-1)=1-x

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

1

(a)

No(∵ a,b≠0 for a linear equation)

An equation of the form ax+by+c=0 will be a linear equation in two variables, when a≠0, b≠0. Is it True or False?

1

(a)

True

In a one day cricket match, Raina and Dhoni scored 198 runs. Express this as a linear equation in two carables.

1

(a)

Let the runs scored by Raina & Dhoni are x & y respectively then,
x+y=198

Total number of legs in a herd of goats and hens is 40. Represent this in the form of linear equation of two variable.

1

(a)

Let the number of goats and hens in herd are x & y respectively then
4x+2y=40

If x represent the present age of father and y represent the present age of the son, then the statement "present age of father is 5 more than 6 times the age of son" in mathematical term equation...

1

(a)

x-6y=5

Does the following equation x=5y represent a straight line passing through the point (0,0)?

1

(a)

Given equation: x=5y
The point (0,0) satisfies the given equation, hence answer is yes.

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

1

(a)

No(∵ 0-4≠0)