Analytic Geometry Answers

Prove and Disprove that a scalar and vector can be added.

Find the section of the conicoid x^2/2-y^2/3 = 2z by the plane x-2y+z = 1. What conic does this section represent? Justify your answer.

The sum of two positive numbers is 50. what are the numbers if their product is to be the largest possible.

CHOICES:

25 and 25

20 and 30

24 and 26

28 and 22

Two sides of a square are on the line x + 10y – 10 = 0 and x + 10y – 5 = 0. Find the area of the square.

Two sides of a square are on the line x + 10y – 10 = 0 and x + 10y – 5 = 0. Find the area of the square.

Find the equations of the lines perpendicular to the line x – y + 3 = 0 and passing at a distance numerically twice as far from the origin.

Find r so that the line through (2; 6) and (- 4; r) is as follows:

ii. Perpendicular to x + 2y = 1

12000 and grows 5% every year what will be the population after 12 years to the nearest whole number