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Mathematics

The line 5x - 2y - 10 = 0 intersects x-axis at point P. The co-ordinates of point P are:

  1. (0, 2)

  2. (0, -2)

  3. (2, 0)

  4. (-2, 0)

Graphical Solution

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Answer

It is given that the line 5x - 2y - 10 = 0 intersects x-axis at point P.

At the x-axis, the y-coordinate is 0. Let P = (a, 0), where x = a and y = 0.

⇒ 5 ×\times a - 2 ×\times 0 - 10 = 0

⇒ 5a - 0 - 10 = 0

⇒ 5a = 10

⇒ a = 105\dfrac{10}{5}

⇒ a = 2

The coordinates of point P are (2, 0).

Hence, option 3 is the correct option.

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