Question

the distance between the points (3,4)and(‐2,‐3)is​

Answer 1

Answer:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2

Answer 2

Answer:

$\sqrt {2} \ is \ the \ distance$

Step-by-step explanation:

Given :

Let points A(x₁, y₁) = (3 , 4) , B(x₂ , y₂) = (-2 , -3)

x₁ = 3, y₁ = 4 ; x₂ = -2, y₂ = -3

To Find :

Distance between A and B

Formula :

$\textsf {Distance between 2 points = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }$

Solution :

Substituting respective points in the answer we get , the distance

Distance = $\sqrt{(3 - 4)^2 + ((-2) -(-3))^2}$

=> $\sqrt{1 + 1}$ = √2

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