Lines Passing through Origin

Q. Which of the following linear equations does not pass through the origin?

1. $3x+4y=0$
2. $5x=9y$
3. $2x+1=y$
4. $x=8y$

Q.

An equation of the type ------------- represents a line passing through the origin.

1. y = m + x

2. x = m - y

3. y = mx

4. y = m + x + 1

Q.

What does the c in the equation y = mx + c, stand for?

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Q. equation of circle which touches the coordinate axes and passes through the point (2, 1) is

Q. Give the geometric representations of the following equations

(a) on the number line
(b) on the Cartesian plane:

(i) x = 2

(ii) y + 3 = 0

(iii) y = 3

(iv) 2x + 9 = 0

(v) 3x − 5 = 0

Q.

The points (1, 0), (-4, 0) and (5, 0) lie on:

1. The X axis

2. The Y axis

3. A line parallel to the X axis

4. A line parallel to the Y axis

Q. Give the geometrical representation of 2x + 13 = 0 as an equation in

(i) on variable

(ii) two variable

Q.

Any line y = mx (where m is the slope) always passes through the point:

1. (0, 0)

2. (0, 1)
3. (1, 0)
4. (1, 1)

Q. What is the equation of a line on which the point (6, 2) lies? How?

Q.

One set of ordered pair which belongs to a straight line represented by an equation Y = 2 x- 1

Q.

Rewrite the equation 2x + 3y - 6 = 0 and express x in terms of y. Thus, find the X intercept of the line.

Q. If $a=0$ in the equation $ax+by+c=0,$ then the line represented by the equation is parallel to Y-axis.

1. True
2. False

Q.

The points (2, 0) (-3, 0) (5, 0) and (0, 0) all lie on the

1. X axis

2. Line parallel to X axis

3. Y axis

4. Line parallel to Y axis

Q.

Any line of the type y = mx ha to pass through origin, hence the answer

A line y = mx passes through the origin So m takes

1. Only rational numbers

2. Only negative real values

3. Only positive real values

4. Any real value

Q. Question 22
Which of the points P(0, 3), Q(1, 0), R(0, -1), S(-5, 0) and T(1, 2) do not lie on the x-axis?

A) P and R only
B) Q and S only
C) P, R and T
D) Q, S and T

Q.

In an equation of line y = 0, if y co-ordinate is zero, then value of x co-ordinate is:

1. Finite

2. 1

3. Zero

4. Infinite

Q. The equation $y=mx$ represents ___ ;
where, $(m\ne 0)$.

1. a line parallel to x-axis
2. a line parallel to y-axis
3. a line passing through the origin
4. a line cutting x-axis at the point $(m,0)$

Q. Assertion: x = 3 is a line parallel to the y-axis.
Reason: The equation of a line parallel to the y-axis is x = a.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q.

Which of the given equations will pass through the points (-2, 2), (0, 0) and (2, -2)?

1. y - x = 0

2. -2x - y = 0

3. x + y = 0

4. 2x - y = 0

Q. Solve the equation 3x + 2 = x − 8, and represent the solution on (i) the number line
(ii) the Cartesian plane.

Q.

What line does the points (0, 0), (0, 2) and (0, 5) lie on?

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Q. Assertion: x + y = 5 is the equation of a line passing through the origin.
Reason: y = mx is the equation of a line passing through the origin.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. If $a=0$ in the equation $ax+by+c=0,$ then the line represented by the equation is parallel to Y-axis.

1. True
2. False

Q. The points (2, 0) (-3, 0) (5, 0) and (0, 0) all lie on the line .

1. x-axis
2. y-axis
3. x-y=0

Q. Draw graphs of the following equations on the graph paper.

(iv) 2x + 5y = 12

Q. Draw the graph of the linear equation 8x − 3y + 4 = 0

Q.

Find the point where 3x + 2y = 8 intersects the Y axis.

Q.

The points (-2, 0), (3, 0) and (-6, 0) lie ______.

1. in the IV quadrant

2. on the X-axis

3. on the Y-axis

4. in the I quadrant

Q. write the co-ordinate and abcissa of all the points which lie on x-axis and y-axis

Q. which of the following points lie on x-axis &which on y-axis
a) (0, 3)
(4, 5)
(-2, 0)
(4, 0)
(5, 0)
(1by2, 0)
(0, -2and3)