Question

find the distance of point - 1 and - 6 from origin​

Answer 1

Answer

• We are given a point from the origin
• A(-1,-6)
• B(0,0)
• Distance between A & B = ?

$\displaystyle\underline{\bigstar\:\textsf{According to the given Question :}}$

• Here we shall use the distance formula

$\displaystyle\sf \bullet \: x_1 = -1 \ \& \ x_2 = 0$

$\displaystyle\sf \bullet \: y_1 = -6 \ \& \ y_2 = 0$

$\displaystyle\sf :\implies Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{(0-2)^2 + (0-(-6)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{(0-2)^2 + (0+6)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{(2)^2 + (6)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{4+36}$

$\displaystyle\sf :\implies Distance = \sqrt{40}$

$\displaystyle\sf :\implies \underline{\boxed{\sf Distance = 6.3 \ units}}$

$\displaystyle\sf \therefore\:\underline{\textsf{ Distance between the two points is \textbf{6.3 units}}}$

Answer 2

Answer

We are given a point from the origin

A(-1,-6)

B(0,0)

Distance between A & B = ?

$\displaystyle\underline{\bigstar\:\textsf{According to the given Question :}}$

Here we shall use the distance formula

$\displaystyle\sf \bullet \: x_1 = -1 \ \& \ x_2 = 0$

$\displaystyle\sf \bullet \: y_1 = -6 \ \& \ y_2 = 0$

$\displaystyle\sf :\implies Distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{(0-2)^2 + (0-(-6)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{(0-2)^2 + (0+6)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{(2)^2 + (6)^2}$

$\displaystyle\sf :\implies Distance = \sqrt{4+36}$

$\displaystyle\sf :\implies Distance = \sqrt{40}$

$\displaystyle\sf :\implies \underline{\boxed{\sf Distance = 6.3 \ units}}$

$\displaystyle\sf \therefore\:\underline{\textsf{ Distance between the two points is \textbf{6.3 units}}}$