Question

*Find the distance between the points (5, −12) and (9, −9).*

1️⃣ 5
2️⃣ −5
3️⃣ √5
4️⃣ √205​

Answer 1

Answer:

let the points be Pand Q

PQ=√(x²-x¹)²+(y²-y¹)²

= √( 9-5)²+(-9--12)²

= √16+9

= √25

PQ= 5

Answer 2

Given,

The co-ordinates of the given points are = (5,-12) and (9,-9)

To find,

The distance between the given two points.

Solution,

We can easily solve this mathematical problem by applying the distance measuring formula of the co-ordinate geometry.

Let,

(5,-12) = X1,Y1

(9,-9) = X2,Y2

(Assume, X1,X2,Y1,Y2 as variables to do the further mathematical calculations.)

So, the distance between the two points will be

= ✓(X2-X1)²+(Y2-Y1)²

= ✓(9-5)²+(-9+12)²

= ✓(4)²+(3)²

= ✓16+9

= ✓25

= 5 units

[Although, (-5)² is also 25, but the distance between two points cannot be negative, it can be only positive, so we will go for 5 units as the final answer. Negative value is only related to the displacement, where direction is a factor, but for distance the direction isn't the factor.]

Hence, ths distance between the two given points is 5 units (Option 1).