Question

If the distance between the two points A(3,p) and B(-5,1) is √65 units. Find p.
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Answer 1

Answer:

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Answer 2

Answer:

p=0 or p=2

Step-by-step explanation:

given, A(3,p) and B(-5,1)  2 points with a distance of √65 units

we know distance between P($x_1,y_1$) and Q( $x_2,y_2$ ) is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

here, x₁ = 3 ; y₁=p ; x₂=-5 and y₂=1

so, AB = $\sqrt{(-5-3)^2+(1-p)^2}$ = √65

ie., (-8)² + (1²-2p+p²) = 65

=> 64+ (p²-2p+1) = 65

=> p²-2p = 65-65

=> p(p-2) = 0

=> p=0 or p-2=0

ie., p=0 or p=2