Which of the following points lies on the parabola y^2 = 8x?

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: Which of the following points lies on the parabola y^2 = 8x?

Options:

(2, 4)
(1, 2)
(4, 4)
(2, 2)

Correct Answer: (2, 4)

Solution:

To check if a point lies on the parabola, substitute the x-coordinate into the equation. For (2, 4), 4^2 = 16 and 8*2 = 16, so it lies on the parabola.

Which of the following points lies on the parabola y^2 = 8x?

Practice Questions

Which of the following points lies on the parabola y^2 = 8x?

(2, 4)
(1, 2)
(4, 4)
(2, 2)

Questions & Step-by-Step Solutions

Which of the following points lies on the parabola y^2 = 8x?

Step 1: Identify the equation of the parabola, which is y^2 = 8x.
Step 2: Take the point you want to check. For example, (2, 4). Here, x = 2 and y = 4.
Step 3: Substitute the y-coordinate into the equation. Calculate 4^2, which equals 16.
Step 4: Substitute the x-coordinate into the equation. Calculate 8 * 2, which also equals 16.
Step 5: Compare the results from Step 3 and Step 4. Since both results are equal (16 = 16), the point (2, 4) lies on the parabola.

No concepts available.

Which of the following points lies on the parabola y^2 = 8x?

What’s inside this PDF?

Which of the following points lies on the parabola y^2 = 8x?

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?