Intersecting and Parallel Lines

Q.

Find the ratio in which the line segment joining the points $(-3,10)$ and $(6,-8)$ is divided by $(-1,6)$.

Q.

What is a real-life example of parallel lines?

Q.

"Two lines can intersect at more than one point".

1. False

2. True

Q.

The line $x+y=4$ divides the line joining the points $(-1,1)$ and $(5,7)$ in the ratio

1. $2:1$

2. $1:2$ internally

3. $1:2$ externally

4. none of these

Q. Give three real-life examples of parallel lines.
(1 Mark)

Q.

Question 5: Draw a rough figure and label suitably in the following case:
(a) $\overleftrightarrow{OP}$, and $\overleftrightarrow{OQ}$, meet at O

Q.

If$A(1,2,-1)andB(-1,0,1)$ are given, then the co-ordinates of $P$ which divides $AB$ externally in the ratio $1:2$ are

1. $(1,4,–1)$

2. $(3,4,–3)$

3. $\frac{1}{3}(3,4,–3)$

4. $Noneofthese$

Q. How many sets of parallel line segments are shown on the figure?

1. 2
2. 3
3. 1
4. 0

Q.

Two lines in a plane always intersect each other.

1. True
2. False

Q.

Find the ratio at which the $y$-axis divides the line segment joining the points $A(-3,-4)$ and $B(1,-2)$.

Q.

(a) In the given figure, the base of the triangle is parallel to line $l$ and $\angle 1=\angle 2$. Prove that line BC & $m$ are parallel to each other.

(b) Consider the following figure. Find the angle y.

[4 MARKS]

Q. Write the name of the point where these two lines intersect.

Q.

Question 38

State whether the given statement is True or False.

Two line segments may intersect at two points.

Q.

The largest line segment in the given figure is

1. AD

2. AC

3. BC

4. BD

Q. What is the angle between two hands of a clock when the time in the clock is $9^{\prime }O$ clock?

Q. The total number of pairs of parallel and intersecting lines in the given figure is ______.

\( \forall \)

1. $4$
2. $6$
3. $5$
4. $7$

Q.

Consider the line segments of lengths AB = 5 m, BC = 4 m, AC = 9 m. Which of them lies between the other two?

1. None of these

2. A

3. C

4. B

Q.

From the following table which option(s) can be considered correct?

1. 1-a, 2-b, 3-c

2. 1-b, 2-a, 3-c

3. 1-c, 2-b, 3-a

4. 1-b, 2-c, 3-a

Q. Which of the following represent parallel lines AB and CD?

1. $AB\ne CD$
2. $AB\cong CD$
3. $AB\parallel CD$
4. $AB\sim CD$

Q. What can you tell about the nature of these lines?

1. Intersecting lines
2. Coincident lines
3. Parallel lines
4. Perpendicular lines

Q. The number of lines that can be drawn through a given point is a variable. (True/False)

Q.

Tom is hungry and decides to go to KFC. On his way; he comes across two roads that cross each other at a point. What are such roads with a common point called?

1. Circle
2. Triangle
3. Qudrilateral
4. Intersecting lines

Q. The minimum number of points of intersection of three lines in a plane is
(a) 1
(b) 2
(c) 3
(d) 0

Q.

Let be the perpendicular to the line segment. Let and intersect in the point A. What is the measure of ∠PAY?

Q. Fill in the blanks-
A line segment from point ‘B’ to point ‘A’ is denoted by ____________.

Q.

Which of the following are not the perfect models of two perpendicular lines?

1. 1

2. 2

3. 3

4. 4

Q. What is the maximum number of points of intersection of three lines in a plane? What is the minimum number?

Q.

What is the angle between the minutes and hours hand shown on the clock?

1. Acute

2. Obtuse

3. Right

4. Straight

Q. In how many maximum number of points can two distinct lines intersect?

1. 3
2. Infinite
3. 0
4. 1

Q.

Question 5: Draw a rough figure and label suitably in the following case:
(a) $\overleftrightarrow{XY}$ and $\overleftrightarrow{PQ}$ intersect at M