as P(3,2) and a(7,7) are Two Paints. Perpendicular are drown
to the x-axix From Pand I meeting,
(i) Find the length of Land M
(ii) Find the cordinate oft and M
the x-axis at Land



Answer :

Answer:

Finding the length of LM:

Identify the points P(3,2) and A(7,7):

Point P is at coordinates (3,2) and point A is at coordinates (7,7).

Draw perpendicular lines from P and A to the x-axis:

Perpendicular from P (3,2) to the x-axis means drawing a line straight down from P until it intersects the x-axis.

Similarly, draw a perpendicular line from A (7,7) to the x-axis.

Calculating the length of LM:

The length of LM is the vertical distance from point P(3,2) to the x-axis.Since the x-coordinate of point P is 3 and the y-coordinate is 2, the length of LM is simply the absolute value of the y-coordinate of P:

=

2

=

2

LM=∣2∣=2

Therefore, the length of LM is 2 units.

(ii) Finding the coordinate of point M on the x-axis:

Determine the x-coordinate of M:

Point M is the intersection of the perpendicular line from P(3,2) to the x-axis.

Plot the coordinates of M:

The x-coordinate of M will be the same as the x-coordinate of P, which is 3. This is because the perpendicular line from P(3,2) directly intersects the x-axis at the point where x = 3.

Therefore, the coordinate of point M on the x-axis is (3, 0).

In summary:

Length of LM: 2 units

Coordinate of point M: (3, 0)

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