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velikii [3]
3 years ago
10

Points A and B have coordinates (8, 3) and (p, q) respectively. The equation of the perpendicular

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0

Answer:

p = -4, q = -3

Step-by-step explanation:

y = -2x +4  ... (1)   perpendicular bisector of AB, slope = -2

slope of AB = 1/2

Line AB pass (8,3): (y-3) / (x-8) = 1/2

AB equation: y-3 = 1/2(x-8)      y = 1/2x - 1  ... (2)

(2)-(1): 5/2 x = 5      x = 2

y = 0       (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)

(8+p)/2 = 2

<u>p = -4</u>

(3+q)/2 = 0

<u>q = -3</u>

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y - Independent variable.

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Hence, the endpoints of the latus rectum are (12, -7) and (-8, -7).

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2 years ago
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