Question

find the distance between point P(7,9) and Q(9,7) ​

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. 3. Equation of the x-axis is y = 0 4.

Answer 2

Answer: The distance between point P(7,9) and Q(9,7) is $2\sqrt{2}$

Step-by-step explanation:

Given: Point P(7,9) and point Q(9,7).

To find: We have to find the distance between point P(7,9) and Q(9,7).

Explanation:

Step 1: Distance between two points P($x_{1}$,$y_{1}$) and Q($x_{2}$,$x_{2}$) is given by,

                        $d(P,Q)=\sqrt{(x_{2}- x_{1 } )^{2} +(y_{2} -y_{1} )^{2}$

                                     $= \sqrt{(9-7)^{2}+(7-9)^{2} }$

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

                                     $=\sqrt{4+4}$

                                     $=\sqrt{8}$

                                     $=2\sqrt{2}$

Hence the distance between the point P(7,9) and Q(9,7) Is $2\sqrt{2}$.

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