Tangents, Normals and Coordinate Geometry Answers

1. 4y + 3x = 25

2. 3y + 5x = 0

3. y + x = 2√2 − 4

4. y = √3x − 5 − 4√3

5. 4y + x = 10

6. 3y − 2x = 12√ 2

7. 2y = √2x − 4

8. 4y + 3√2 x = -52

9. a. gradient of tangent is -3cosθ / 5sinθ

b. Proof

10. a. dy/dx = -3t / 2

b. y − 2 = 1.5(x + 1)

c. The coordinates of B are (-0.25, 3.125)