Question

two points p and q are euidistand from the origin. the position of p is (7,0 ) and the ascissca q is 0. gind the coordinate of q​

Answer 1

Given that, Two point p and q are equidistant from the origin.

Also,

☛ Position of p is (7, 0)

And, The Abscissa of point q is 0, Let the ordinate be x, Then the Position of point q would be (0, x)

So, We need to find the value of x.

As given in the question that point p and q are equidistant from the origin, means the distance of point p from the origin is equal to the distance of point q from the origin.

First,

⇒ Distance of a Point from the Origin = √( x² + y²) / 2

Where, x and y are abscissa and ordinate of a point respectively.

So, Distance of Point p from the Origin,

⇒ D₁ = √( 7² + 0) / 2

⇒ D₁ = 7 / 2

Now, Distance of Point q from the Origin,

⇒ D₂ = √(0² + x²) / 2

⇒ D₂ = x / 2

Since, It is given in the question that the points p and q are equidistant from the origin,

∴ D₁ = D₂

⇒ 7 / 2 = x / 2

⇒ x = 7

Here, We found the ordinate to be 7.

∴ The coordinate of point q is (0, 7).

Answer 2

Answer:

coordinate of q is (0,7) and also (0,-7)

because q is equidistant from origin it can be from - y axis or from +y axis