Question

The ratio of the distance of point P(3,4) from origin to that from y axis is​

class 10

Answer 1

Question :- The ratio of the distance of point P(3,4) from origin to that from y axis is ?

Solution :-

Coordinate of origin are (0,0).

So,

→ Distance of point P(3,4) from origin (0,0) is calculated by √{(x2 - x1)² + (y2 - y1)²}

taking Points P coordinate as (x2,y2) and origin coordinate as (x1,y1), we get,

→ Distance of Point P from origin = √{(3 - 0)² + (4 - 0)²}

→ Distance = √(3² + 4²)

→ Distance = √(9 + 16)

→ Distance = √25

→ Distance = 5 units.

____________

Now,

As we know that :-

• x - coordinate of any point gives its distance of that point from the y - axis .
• y - coordinate of any point gives its distance from the x - axis.

Therefore,

→ Distance of Point P(3,4) from y - axis is = x - coordinate = 3 units.

_____________

Hence,

→ Required Ratio = 5 : 3 (Ans.)