Question

6)
The perpendicular from the origin intersects the line
coordinates:
x + y = 5 at the
1 point
(
5 573
2 2
(
573 5
เวล
2
2
(
– 5/3 5
2 2
Lota
9
(
573
2
-5
-)
2
2​

Answer 1

Answer:

where it was intersecting

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Answer 2

Given :- The perpendicular from the origin intersects the line coordinates x + y = 5 at ?

Solution :-

→ Equation of line = x + y = 5

→ y = - x + 5

comparing with y = mx + c , we get, slope of line will be (-1) .

now, we know that, when two lines are perpendicular their slope product is (-1) .

so,

→ m1 * m2 = (-1)

→ (-1) * m2 = (-1)

→ m2 = 1 .

then, line perpendicular to given line with y- intercept equal to zero is

→ y = 1 * x

→ y = x .

putting value of y in given equation of line we get,

→ x = - x + 5

→ x + x = 5

→ 2x = 5

→ x = (5/2) = y .

hence, coordinates of perpendicular from the origin are (5/2, 5/2) .

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