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Standard X

Mathematics

Division of a Line Segment

Draw a line s...

Question

Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Arrange the steps in correct sequential order.

Step I: After that, a ray BY is drawn parallel to AX making equal acute angle as in the previous step.
Step II: AB = 7.6 cm is drawn.
Step III: A ray AX making an acute angle with AB is drawn.
Step IV: A5 and B8 is joined and it intersected AB at point C diving it in the ratio 5:8.
AC : CB = 5 : 8
Step V: Point A1, A2, A3, A4 and A5 is marked on AX and point B1, B2.... to B8 is marked on BY such that AA1 = A1A2 = A2A3=....A4A5
BB1= B1B2 = .... B7B8

17:30

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17:13

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Solution

The correct option is B
17:13

Steps of Construction:
Step I: AB = 7.6 cm is drawn.
Step II: A ray AX making an acute angle with AB is drawn.
Step III: After that, a ray BY is drawn parallel to AX making equal acute angle as in the previous step.
Step IV: Point A1, A2, A3, A4 and A5 is marked on AX and point B1, B2.... to B8 is marked on BY such that AA1 = A1A2 = A2A3=....A4A5
BB1= B1B2 = .... B7B8
Step V: A5 and B8 is joined and it intersected AB at point C diving it in the ratio 5:8.
AC : CB = 5 : 8

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Similar questions

Q. Steps to divide a line segment AB in the given ratio m : n by drawing alternated angles is given. Choose the correct order.
1.Draw any ray AX making acute angle with AB and ray BY such that

∠ B A X = ∠ A B Y

.
2.Locate the points

A_{1}, A_{2}, A_{3} . . . A_{m}

on AX and

B_{1}, B_{2}, B_{3} . . . B_{n}

on BY such that

A A_{1} = A_{1} A_{2} = B B_{1} = B_{1} B_{2}

3.Draw a ray BY parallel to AX by making

∠ A B Y = ∠ B A X

4.Join

A_{m} B_{n}

Q. Steps to divide a line segment AB in the given ratio m : n by drawing alternated angles is given. Choose the correct order.
1.Draw any ray AX making acute angle with AB and ray BY such that

∠ B A X = ∠ A B Y

.
2.Locate the points

A_{1}, A_{2}, A_{3} . . . A_{m}

on AX and

B_{1}, B_{2}, B_{3} . . . B_{n}

on BY such that

A A_{1} = A_{1} A_{2} = B B_{1} = B_{1} B_{2}

3.Draw a ray BY parallel to AX by making

∠ A B Y = ∠ B A X

4.Join

A_{m} B_{n}

The figure given below have been constructed by following the steps given below.

I: Draw line segment AB of length 16.9 cm and draw a ray AX making an acute angle with line segment AB.

II: Mark points Alf A₂, A₃, A₄........A₁₃, on AX such that AA₁ = A₁A₂ = A₂A₃ and

so on.

III: Join BA₁₃. Through the point A₅, draw a line parallel to BA₁₃ intersecting AB at point C.

Q. To divide a line AB in the ratio

5 : 7

a ray AX is drawn such that

∠ B A X

is an acute angle. A ray BY is drawn parallel to AX. Points at equal distances marked on AX and BY and named as

A_{1}, A_{2}, A_{3}, . . .

and

B_{1}, B_{2}, B_{3}, . . .

respectively. Then which two points are to be joined.

Q. Question 3
To divide a line segment AB in the ratio 5:6, draw AX such that

∠

BAX is an acute angle, the draw a ray by parallel to AX and the points

A_{1}, A_{2}, A_{3} . . .

and

B_{1}, B_{2}, B_{3} . . .

are located to equal distances on ray AX and BY, respectively. Then, the points joined are
(A)

A_{5}

and

B_{6}

(B)

A_{6}

and

B_{5}

(C)

A_{4}

and

B_{5}

(D)

A_{5}

and

B_{4}

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