(C) We know that,to divide a line segment $AB$ in the ratio $m:n,$ first draw a ray $AX$ which makes an acute angle $\angle BAX$,then mark $m+n$ point

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(C) We know that,to divide a line segment $AB$ in the ratio $m:n,$ first draw a ray $AX$ which makes an acute angle $\angle BAX$,then mark $m+n$ points at equal distances.Here,$m=5$ and $n=7$.So,the minimum number of these points $= m+n = 5+7 = 12$.

Class 10 Mathematics Constructions Mix Examples - Constructions

Medium

To divide a line segment $AB$ in the ratio $5:7,$ first a ray $AX$ is drawn so that $\angle BAX$ is an acute angle and then at equal distances points are marked on the ray $AX$ such that the minimum number of these points is

A
$8$
B
$10$
C
$12$
D
$11$

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Draw $\overline{XY}$ of length $9\, cm$ and divide it in the ratio $2:5$ from $X$. Write the steps of construction.

Difficult

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To draw a pair of tangents to a circle which are inclined to each other at an angle of $60^{\circ},$ it is required to draw tangents at the endpoints of those two radii of the circle,the angle between which should be: (in $^{\circ}$)

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To divide a line segment $AB$ in the ratio $5:7,$ first a ray $AX$ is drawn so that $\angle BAX$ is an acute angle and then at equal distances points are marked on the ray $AX$ such that the minimum number of these points is

Similar Questions

Draw a line segment $\overline{AB}$ of length $8\, cm$ and divide it in the ratio $2:3:5$ starting from point $A$. Write the steps of construction.

Draw $\Delta XYZ$ with $XY = 4\, cm$,$YZ = 6\, cm$,and $XZ = 7\, cm$. Then,construct $\Delta YMN$ similar to $\Delta XYZ$ with a scale factor of $\frac{4}{3}$. Write the steps of construction.

Draw two concentric circles of radii $3\, cm$ and $5\, cm$. Taking a point on the outer circle,construct a pair of tangents to the other circle. Measure the length of a tangent and verify it by actual calculation.

Draw $\overline{XY}$ of length $9\, cm$ and divide it in the ratio $2:5$ from $X$. Write the steps of construction.

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