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Mathematics

Drawing Tangents to a Circle from a Point on the Circle

The image of ...

Question

The image of dividing line segment AB of length 12cm into 8cm and 4cm is given below.

Arrange the steps of construction in the correct order.
1. Mark three points on AX such that $A A_{1} = A_{1} A_{2} = A_{2} A_{3}$
2.Draw an acute angle $∠ B A X$
3.Join $A_{3}$ to B.
4.Draw $A_{2} C$ parallel to $A_{3} B$

1,2,3,4

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2,1,3,4

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2,3,1,4

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4,2,3,1

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Solution

The correct option is B 2,1,3,4
1) Draw an acute angle $∠ B A X$
2) Mark three points on AX such that $A A_{1} = A_{1} A_{2} = A_{2} A_{3}$
3) Join $A_{3}$ to B.
4) Draw $A_{2} C$ parallel to $A_{3} B$
Thus we get,

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Similar questions

Q. The image of dividing line segment AB of length 12cm into 8cm and 4cm is given below.

Arrange the steps of construction in the correct order.
1. Mark three points on AX such that

A A_{1} = A_{1} A_{2} = A_{2} A_{3}

2.Draw an acute angle

∠ B A X

3.Join

A_{3}

to B.
4.Draw

A_{2} C

parallel to

A_{3} B

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. In the given image, segment AB has been divided in the ratio 3:2. This is done by
1. Draw any ray AX making acute angle with AB.
2. Draw a ray BY parallel to AX by making

∠ A B Y = ∠ B A X

3. Locate the points

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

on AX and

B_{1}, B_{2}

on BY such that

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

4. Join

A_{3} B_{2}

by using which of the properties of parallel lines?

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}

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The image of dividing line segment AB of length 12cm into 8cm and 4cm is given below. Arrange the steps of construction in the correct order. 1. Mark three points on AX such that AA1=A1A2=A2A3 2.Draw an acute angle ∠BAX 3.Join A3 to B. 4.Draw A2C parallel to A3B

The correct option is B 2,1,3,41) Draw an acute angle ∠BAX 2) Mark three points on AX such that AA1=A1A2=A2A3 3) Join A3 to B. 4) Draw A2C parallel to A3B Thus we get,

The correct option is B 2,1,3,4
1) Draw an acute angle $∠ B A X$
2) Mark three points on AX such that $A A_{1} = A_{1} A_{2} = A_{2} A_{3}$
3) Join $A_{3}$ to B.
4) Draw $A_{2} C$ parallel to $A_{3} B$
Thus we get,