1.

Find the value of x for which point A(x/5),2) is the midpoint of the line segment joining the point P(-5,4)andR(-1,0)

Answer»

GIVEN:

  • P (-5, 4)
  • R (-1, 0)
  • Midpoint → A (x/5, 2)

To find:

Value of x = ?

Solution:

Apply Midpoint formula for X coordinate:

Midpoint = (x₁ + x₂) ÷ 2

⇒ Midpoint = (-5 - 1) ÷ 2

⇒ x/5 = (-6) ÷ 2

⇒ x/5 = -3

⇒ x = -15

∴ x = -15

VERIFICATION:

Similarly, if we apply Midpoint formula for Y axis,

Midpoint = (y₁ + y₂) ÷ 2

⇒ Midpoint = (4 + 0) ÷ 2

⇒ Midpoint = 4 ÷ 2

⇒ 2 = 2

The given value is EQUAL to the derived value

★ Hence VERIFIED ★


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