# Definition of Parallel Lines

## Trending Questions

**Q.**

An angle is one-fifth of its supplement. Find the measure of the angle.

**Q.**

A line has an infinite length. State whether true or false.

True

False

**Q.**

Find the supplementary of $\frac{3}{5}$ of a right angle

**Q.**

How many intersection points can a line have with a circle depending on its position?

2

0 or 1

1

0, 1 or 2

**Q.**In the figure, p is transverse to lines m and n, ∠1=60o and ∠2=23 of a right angle. Prove that m∥n.

**Q.**

An angle is $5$ times its supplement. Find the angle.

**Q.**

**Write the supplement of the following angles.**

$142\xb021$

**Q.**

When a transversal cuts two lines such that pairs of alternate interior angles are equal, then the lines are

parallel

inclined at 120∘

None of the above

perpendicular

**Q.**

Name four tools used for drawing shapes. [1 MARK]

**Q.**

Two lines are such that they don't have any point in common to each other. Then these two lines are called as _______.

intersecting lines

parallel lines

- None of the above
- (a) and (b) above.

**Q.**

What is the equation of the line parallel to the line $y=3x+2$ passing through the point $(10,1)$ $?$

**Q.**

There are four lines in a plane no two of which are parallel. The maximum number of points in which they can intersect is :

4

5

6

7

**Q.**

In the following figure, line l is parallel to line m, then the value of x is:

126

^{o}64

^{o}54

^{o}74

^{o}

**Q.**

Question 101

In the given figure, if l || m, find the values of a and b.

**Q.**

Pavan drew two lines and he measured some angles. He found that ∠1=∠5 and so he concluded that the two lines are parallel.

State whether his conclusion is true or false.

True

False

**Q.**

The two lines moving in the same direction & always having an equal distance between them are known as:

Parallel lines

Intersecting lines

Collinear lines

None of the given options

**Q.**Prove that:

(i) ∆ ABC ≅ ∆ ADC

(ii) ∠B = ∠D

(iii) AC bisects angle DCB.

**Q.**What are parallel lines ?

**Q.**In the given figure, AOB is a straight line and the ray OC stands on it.

If ∠AOC = (2x − 10)° and ∠BOC = (3x + 20)°, find the value of x.

Also, find ∠AOC and ∠BOC

**Q.**

$A(2,5),B(-1,2)andC(5,8)$are the vertices of a triangle $ABC$, ‘$M$’ is a point on $AB$ such that $AM:MB=1:2$. Find the coordinates of ‘$M$’. Hence, find the equation of the line passing through the points $C$ and $M$.

**Q.**the angle made by line joining (5, 2) and (6, -5) at (0, 0) is

**Q.**

Select the correct statement(s).

Two lines which are both perpendicular to a third line are perpendicular to each other.

Two lines which are both perpendicular to a third line are parallel to each other.

When a transversal intersects two lines and the co-interior angles are supplementary, then, the corresponding angles are equal.

When a transversal intersects two lines such that the corresponding angles are equal, the lines are parallel.

**Q.**The direction ratios of two parallel lines are 4, −3, −1 and λ+μ, 1+μ, 2. Then (λ, μ)is:

- (−4, 8)
- (−1, −7)
- (7, 1)
- (−13, 5)

**Q.**

Four lines p, q, r and s are said to be concurrent. What do they pass through?

Different points

Same line

Same plane

Same point

**Q.**

Parallel lines make

no

180∘

90∘

equal

**Q.**

Two lines parallel to each other intersect at a unique point.

True

False

**Q.**

Two supplementary angles are in the ratio of 7:5. Find them.

**Q.**

When two lines are cut by a transversal and their alternate interior angles are equal, then the lines are

perpendicular

inclined at 120 degrees

inclined at 60 degrees

parallel

**Q.**The graphical representation of the pair of equations x+2y−4=0 and 2x+4y−12=0 is:

- Coincident lines
- All the above
- Intersecting lines
- Parallel lines

**Q.**Give a definition for Parallel lines