Geometrical Representation of a LE

Q. Mark the correct choice.
Assertion(A): For all values of 𝑘, (−𝟑/𝟐, 𝒌) is a solution of the linear equation 𝟐𝒙 + 𝟑 = 𝟎.
Reason(R): The linear equation 𝒂𝒙 + 𝒃 = 𝟎 can be expressed as a linear equation in two variables as 𝒂𝒙 + 𝒚 + 𝒃 = 𝟎.

1. A is true but R is false.
2. Both A and R are true but R is not the correct explanation of A.
3. Both A and R are true and R is the correct explanation of A.
4. A is false but R is true.

Q.

Assertion: The graph of every linear equation in two variables need not be a line.

Reason: Graph of a linear equation in two variables is always a line.

Now, choose the correct option.

1. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

2. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

3. If Assertion is correct but Reason is incorrect.

4. If Assertion is incorrect but Reason is correct.

Q.

Assertion: The graph of the equation $3x+y=0$ is a line passing through the origin.

Reason: An equation of the form $ax+by+c=0,$ where$a,b,c$are real numbers is called a linear equation in $x\text{and}y.$

Now, choose the correct option.

1. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

2. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

3. If Assertion is correct but Reason is incorrect.

4. If Assertion is incorrect but Reason is correct

Q.

The point where the line $x+y=5$ touches the y-axis is (0, b) and where it touches the x-axis is (a, 0) ,

then a+b =

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Q.

What is the graph of a linear equation in 2 variables?

1. none of these

2. parabola

3. straightline

4. sinewave

Q.

The point (7, 3) falls on which of the following lines?

1. $11y+2x=132$
2. $x+3y=16$
3. $3y+2x=25$
4. $2x+7y=92$