Question = 1.
Find the length of the perpendicular drawn on x - axis from (5, -7).
As we know that,
Distance formula.
⇒ d = √[(x₁ - x₂)² + (y₁ - y₂)²].
Using this formula in this question, we get.
Coordinates on x - axis = (5, 0).
⇒ d = √[(5 - 5)² + (- 7 - 0)²].
⇒ d = √[(0)² + (-7)²].
⇒ d = √(0 + 49).
⇒ d = √49.
⇒ d = 7.
∴ The length of the perpendicular drawn on x - axis from (5, -7) is 7.
Question = 2.
What is the Co-ordinate of the point on the negative side of x - axis which is at a distance of 3 units from the origin.
Coordinates axis of x - axis on negative side is = (- x, 0).
Where x is the distance from the origin.
∴ The Coordinate is = (- 3, 0).
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EXPLANATION.
Question = 1.
Find the length of the perpendicular drawn on x - axis from (5, -7).
As we know that,
Distance formula.
⇒ d = √[(x₁ - x₂)² + (y₁ - y₂)²].
Using this formula in this question, we get.
Coordinates on x - axis = (5, 0).
⇒ d = √[(5 - 5)² + (- 7 - 0)²].
⇒ d = √[(0)² + (-7)²].
⇒ d = √(0 + 49).
⇒ d = √49.
⇒ d = 7.
∴ The length of the perpendicular drawn on x - axis from (5, -7) is 7.
Question = 2.
What is the Co-ordinate of the point on the negative side of x - axis which is at a distance of 3 units from the origin.
As we know that,
Coordinates axis of x - axis on negative side is = (- x, 0).
Where x is the distance from the origin.
∴ The Coordinate is = (- 3, 0).