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Find the position of points P(1,3) w.r.t...

Find the position of points P(1,3) w.r.t. parabolas `y^(2)=4x and x^(2)=8y`.

Text Solution

Verified by Experts

We have parabolas `y^(2)-4x=0andx^(2)-3y=0`.
Let `S^(1)-=y^(2)-4xandS_(2)-=x^(2)-3y`
Now, `S_(1)(1,3)=3^(2)-4(1)gt0`
And `S_(2)(1,3)=1^(2)-3(3)lt0`
Thus, (1,3) lies in the exterior region of the parabola `y^(2)=4x` and interior region of the parabola `x^(2)=3y`.
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