Math, asked by subramanyamreddyvart, 9 months ago

find the ratio in which the point (2,1) divides the line segment joining (4, -5) , (-2, 7) ​

Answers

Answered by josh6242
0

Answer:

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Step-by-step explanation:

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Answered by Anonymous
0

Answer:

The coordinates of the point

P

(

x

,

y

)

which divides the line segment joining the points

A

(

x

1

,

y

1

)

and

B

(

x

2

,

y

2

)

, internally, in the ratio

m

1

:

m

2

is given by the Section Formula.

P

(

x

,

y

)

=

[

m

x

2

+

n

x

1

m

+

n

,

m

y

2

+

n

y

1

m

+

n

]

What is Known?

The

x

and

y

co-ordinates of the line segment which is divided by the point

(

1

,

6

)

.

What is Unknown?

The ratio in which the line segment joining the points

(

3

,

10

)

and

(

6

,

8

)

is divided by

(

1

,

6

)

.

Steps:

From the figure,

Given,

Let the ratio in which the line segment joining

A

(

3

,

10

)

and

B

(

6

,

8

)

is divided by point

P

(

1

,

6

)

be

k

:

1

.

By Section formula

P

(

x

,

y

)

=

[

m

x

2

+

n

x

1

m

+

n

,

m

y

2

+

n

y

1

m

+

n

]

(

2

)

Therefore,

1

=

6

k

3

k

+

1

k

1

=

6

k

3

7

k

=

2

By Cross Multiplying & Transposing

k

=

2

7

Hence the point

P

divides

A

B

in the ratio

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