Question

( (vi) The distance of point (3, 4) from the origin is! a) 3 b) 4 c) 5 d) 6​

Answer 1

Answer:

The distance of point ( 3, 4 ) from the origin is 5 units.

Option c)

Step-by-step-explanation:

Let the given point be A.

And the origin be O.

The coordinates of the given point are

A ≡ ( 3, 4 ) ≡ ( x₁, y₁ )

O ≡ ( 0, 0 ) ≡ ( x₂, y₂ )

Now, by distance formula,

d ( O, A ) = √[ ( x₁ - x₂ )² + ( y₁ - y₂ )² ]

⇒ d ( O, A ) = √[ ( 3 - 0 )² + ( 4 - 0 )² ]

⇒ d ( O, A ) = √[ ( 3 )² + ( 4 )² ]

⇒ d ( O, A ) = √( 9 + 16 )

⇒ d ( O, A ) = √25

⇒ d ( O, A ) = √( 5 * 5 )

⇒ d ( O, A ) = 5 units

∴ The distance of point ( 3, 4 ) from the origin is 5 units.