Question

If the point P (k , 0) divides the line segment joining the points A(2, -2 ) and B( -7, 4) in the ratio 1 : 2, then what is the value of k ?​

Answer 1

Given:

Point P (k, 0) divides line segment AB

• Ratio = 1:2
• A (2, -2)
• B (-7, 4)

To find:

• The value of k = ?

Solution:

In the given question, the value of X axis of point P is unknown.

Applying section formula for X axis,

Coordinate of X axis = (mx₂ + nx₁) ÷ (m + n)

⇒ Coordinate of X axis = [1(-7) + 2(2)] ÷ (1 + 2)

⇒ Coordinate of X axis = (-7 + 4) ÷ 3

⇒ Coordinate of X axis = (-3) ÷ 3

⇒ Coordinate of X axis = -1

∴ Coordinates of Point P = (-1, 0)

Answer 2

$\huge \tt \pink { question }$

If the point P (k , 0) divides the line segment joining the points A(2, -2 ) and B( -7, 4) in the ratio 1 : 2, then what is the value of k ?

$\huge \tt \pink { Answer }$

Coordinate of X axis = [1(-7)+2(2)]÷ (1+2)

Coordinate of X axis = (-7+4)÷3

Coordinate of X axis = (-3)÷3

Coordinate of X axis = -1

Now,

Coordinate of Point P = (-1.,0)

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