Question: The point on the parabola $y ^ { 2 } = 8 x$ . Whose distance from the focus is 8, has x-coordinate...

Question

The point on the parabola $y ^ { 2 } = 8 x$ . Whose distance from the focus is 8, has x-coordinate as

Answer 1

If $P \left( x _ { 1 } , y _ { 1 } \right)$ is a point on the parabola $y ^ { 2 } = 4 a x$ and S is its focus, then $S P = x _ { 1 } + a$

Here $4 a = 8$ ⇒ $a = 2 ; \quad S P = 8$

∴ $8 = x _ { 1 } + 2$ ⇒ $x _ { 1 } = 6$

Question: The point on the parabola \(y ^ { 2 } = 8 x\) . Whose distance from the focus is 8, has x-coordinate...