# Lines Passing through Origin

## Trending Questions

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

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

**Q.**

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

y = m + x

x = m - y

y = mx

y = m + x + 1

**Q.**

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

**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:

The X axis

The Y axis

A line parallel to the X axis

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:

(0, 0)

- (0, 1)
- (1, 0)
- (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.

- True
- False

**Q.**

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

X axis

Line parallel to X axis

Y axis

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

Only rational numbers

Only negative real values

Only positive real values

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:

Finite

1

Zero

Infinite

**Q.**The equation y=mx represents ___ ;

where, (m≠0).

- a line parallel to x-axis
- a line parallel to y-axis
- a line passing through the origin
- 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)?

y - x = 0

-2x - y = 0

x + y = 0

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?

**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.

- True
- False

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

- x-axis
- y-axis
- 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 ______.

in the IV quadrant

on the X-axis

on the Y-axis

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)