Question

pls help.............​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Question:- Given two points A and B and a positive real number α. Find the locus of a point P such that ar(ΔPAB) = α ( where P is any point in the same plane)

Answer:

Locus of the point P will be a line parallel to the line fixed line AB

Step-by-step explanation:

Given that A and B are points. This means that line AB is fixed in the plane.

Let us draw a triangle APB such that height of triangle is h.

According to given condition

Area of ΔAPB = α

1/2 × Base × Height = α

1/2 × AB × h = α

AB × h = 2α

h = 2α/AB.

Since α is given and AB is fixed. Thus 2α/AB will be a constant. Thus for any point P in the same plane, height of the triangle will be same.

We can say that locus of the point P will be a line parallel to the line fixed line AB