Question
Draw a line $AB$ and take a point $P$ outside it. Draw a line $CD$ parallel to $AB$ and passing through the point $P.$
✓
Answer
Steps of construction:
Step I: Draw a line $AB.$
Step II: Take a point $Q$ on $AB$ and a point $P$ outside $AB$, and join $PQ.$
Step III: With $Q$ as the centre an any radius, draw an arc to cut $AB$ at $X$ and $PQ$ at $Z.$
Step IV: With $P$ as the centre and the same radius, draw an arc cutting $QP$ at $Y.$
Step V: With $y$ as the centre and the radius equal to $XZ,$ draw an arc to cut the pevious arc at $E.$
Step VI: Join $PE$ and produce it on both the sides to get the required line.
Step I: Draw a line $AB.$
Step II: Take a point $Q$ on $AB$ and a point $P$ outside $AB$, and join $PQ.$
Step III: With $Q$ as the centre an any radius, draw an arc to cut $AB$ at $X$ and $PQ$ at $Z.$
Step IV: With $P$ as the centre and the same radius, draw an arc cutting $QP$ at $Y.$
Step V: With $y$ as the centre and the radius equal to $XZ,$ draw an arc to cut the pevious arc at $E.$
Step VI: Join $PE$ and produce it on both the sides to get the required line.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A horse is tied to a pole in a park with a string $21m$ long. Find the area over which the horse can graze.
→$ABCD$ is a quadrilateral. Is $AB + BC + CD + DA > AC + BD?$
→$\frac{6\text{x}-2}{9}+\frac{3\text{x}+5}{18}=\frac13$
→Ratio of the area of $\triangle\text{WXY}$ to the area of $\triangle\text{WZY}$ is $3 : 4.$ If the area of $\triangle\text{WXZ}$ is $56cm^2$ and $WY = 8cm$, find the lengths of $XY$ and $YZ.$
→Find the mode of
$2,6,5,3,0,3,4,3,2,4,5,2,4$.
→$2,6,5,3,0,3,4,3,2,4,5,2,4$.
In the given figure, a circle of diameter $21\ cm$ is given. Inside this circle, two circles with diameters $\frac{2}{3}$ and $\frac{1}{3}$ of the diameter of the big circle have been drawn, as shown in the given figure. Find the area of the shaded region. 
→Construct the following figures:
Observe the following table and complete it.
→| Statement | Inference |
| (- 8) $\div$ (- 4) = 2 | Result is an integer |
| (- 4) $\div$ (- 8) = $\frac{- 4}{- 8}$ | Result is not an integer |
| (- 8) $\div$ 3 = $\frac{-8}{3}$ | |
| 3 $\div$ (- 8) = $\frac{3}{-8}$ |
The following table shows the number of scooters produced by a company during six consecutive years. Draw a bar graph to represent this data.
→| Year | $2011$ | $2012$ | $2013$ | $2014$ | $2015$ | $2016$ |
| No. of scooters | $11000$ | $14000$ | $12500$ | $17500$ | $15000$ | $24000$ |
The hour and minute hand of a clock are 4 cm and 6 cm long. Find the sum of distances travelled by their tip in 2 days.