(D) To divide a line segment in the ratio $m:n,$ we first draw a ray making an acute angle with the segment.Then,we mark $m+n$ points at equal distanc

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(D) To divide a line segment in the ratio $m:n,$ we first draw a ray making an acute angle with the segment.Then,we mark $m+n$ points at equal distances on the ray.Here,the ratio is $4:7,$ so the total number of points required is $4+7 = 11$.Therefore,we mark points $A_1, A_2, \dots, A_{11}$ on the ray $AX$.The last point $A_{11}$ is joined to point $B$ to complete the construction.

Class 10 Mathematics Constructions Mix Examples - Constructions

Easy

To divide a line segment $AB$ in the ratio $4:7,$ a ray $AX$ is drawn first such that $\angle BAX$ is an acute angle and then points $A_1, A_2, A_3, \dots$ are located at equal distances on the ray $AX$ and the point $B$ is joined to:

A
$A_{12}$
B
$A_{13}$
C
$A_9$
D
$A_{11}$

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Mix Examples - Constructions

Draw $\overline{ AB }$ of length $7 \,cm$ and obtain a point $M$ on $\overline{ AB }$ such that $AM : AB = 2 : 5$. Write the steps of construction.

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Draw a circle $\odot(O, 4 \text{ cm})$ and take a point $X$ in its exterior at a distance of $7 \text{ cm}$ from $O$. Draw two tangents to the circle from point $X$. Write the steps of construction.

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Draw $\odot( P , 3 \, cm )$ and a diameter $\overline{ AB }$ in it. Take points $X$ and $Y$ such that $X - A - B$ and $A - B - Y$ where $PX = PY = 7 \, cm$. From $X$ and $Y$,draw tangents to $\odot( P , 3 \, cm )$. Write the steps of construction.

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Draw a line segment $\overline{PQ}$ of length $8.2 \, cm$ and divide it in the ratio $3:7$ from point $P$. Write the steps of construction.

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State whether the following statement is True or False and provide a reason for your answer:
$A$ pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$.

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To divide a line segment $AB$ in the ratio $4:7,$ a ray $AX$ is drawn first such that $\angle BAX$ is an acute angle and then points $A_1, A_2, A_3, \dots$ are located at equal distances on the ray $AX$ and the point $B$ is joined to:

Similar Questions

Draw $\overline{ AB }$ of length $7 \,cm$ and obtain a point $M$ on $\overline{ AB }$ such that $AM : AB = 2 : 5$. Write the steps of construction.

Draw a circle $\odot(O, 4 \text{ cm})$ and take a point $X$ in its exterior at a distance of $7 \text{ cm}$ from $O$. Draw two tangents to the circle from point $X$. Write the steps of construction.

Draw $\odot( P , 3 \, cm )$ and a diameter $\overline{ AB }$ in it. Take points $X$ and $Y$ such that $X - A - B$ and $A - B - Y$ where $PX = PY = 7 \, cm$. From $X$ and $Y$,draw tangents to $\odot( P , 3 \, cm )$. Write the steps of construction.

Draw a line segment $\overline{PQ}$ of length $8.2 \, cm$ and divide it in the ratio $3:7$ from point $P$. Write the steps of construction.

State whether the following statement is True or False and provide a reason for your answer:$A$ pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$.

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State whether the following statement is True or False and provide a reason for your answer:
$A$ pair of tangents can be constructed to a circle inclined at an angle of $170^{\circ}$.