https://file.aiquickdraw.com/mathbot/file/17283105124948gcmz0lp.pdf

I see that you have uploaded a geometry-related assignment with various questions on analytic geometry. These questions involve concepts such as distance between points, midpoint formula, lines and slopes, angles between lines, circles, parabolas, ellipses, and hyperbolas.

Here’s one of the questions from the document with a brief explanation:

### Example Question:
**1. Manakah titik berikut yang jaraknya ke titik M(3, -4) adalah 5?**
- A. (6, 0)
- B. (8, 1)
- C. (0, -8)
- D. (-4, 3)
- E. (3, 4)

### Solution Approach:
The formula for the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Given point \(M(3, -4)\) and the distance \(5\), we calculate the distance between \(M\) and each option, selecting the one that results in 5 units.

Would you like me to solve this or any other question from the document? 

Additionally, here are some follow-up questions to expand on the topics:
1. How do you find the equation of a line given two points?
2. What is the formula for the midpoint of a line segment between two points?
3. How can you calculate the slope of a line perpendicular to a given line?
4. How is the eccentricity of an ellipse calculated?
5. How can you derive the equation of a circle given its radius and center?

**Tip:** For parabolas, remember that the directrix and the focus are crucial for determining the equation.

Manakah titik berikut yang jaraknya ke titik M(3, -4) adalah 5?

Solve the problem of determining which point lies 5 units away from point M(3, -4) using the distance formula. This question covers the core concept of distance between two points in analytic geometry. Suitable for high school students in Grades 9-12.

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