Question

The distance of the point P (4, 3) from the origin is: (a) 4 (b) 3 (c) 5 (d) 7

Answer 1

The answer is D 7 ok

Explanation:

the distance point P(4,3) is 7

Answer 2

GiveN:

• The coordinate of the point P(4 , 3)
• Coordinate of origin O(0,0)

What to find?

• Distance between P and O i.e. origin

Step-wise-Step Explanation:

We can find the distance between the coordinate of P and the origin O by using distance formula.

`\because{ \boxed{ \rm{d = \sqrt{(x_2 - x_1) {}^(2) + (y_2 - y_1) {}^(2) } }}}`

Plugging the given values of x1, x2 and y1, y2:

⇒
`\rm{d = \sqrt{(4 - 0) {}^(2) + (3 - 0) {}^(2) } }`

This can be written as,

⇒
`\rm{d = √(25) }`

And the distance will be:

⇒
`\rm{d = \pm5}`

But distance is a scalar quantity, and can't be negative. Hence the distance between the point P and the origin is 5 units.