Coordinate Geometry

Practice Questions

GMAT Quantitative Reasoning › Coordinate Geometry

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1

Consider and .

Find the slope of .

I) passes through the point .

II) is perpendicular to .

2

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1:

Statement 2: $b = \sqrt{2}$

3

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1:

Statement 2:

4

Let be a positive integer.

True or false: $i^{N} = 1$

Statement 1: is a prime number.

Statement 2: is a two-digit number ending in a 7.

5

Let be a positive integer.

Evaluate $i^{N}$ .

Statement 1: is a multiple of 3.

Statement 2: is a multiple of 7.

6

Let be a positive integer.

True or false: $i^{N} = 1$

Statement 1: is a prime number.

Statement 2: is a two-digit number ending in a 7.

7

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1: $a^{2}+b^{2}= 71$

Statement 2: $a^{2}-b^{2}= 39$

8

Consider the lines of the equations

and

Are these two lines parallel, perpendicular, or neither?

Statement 1: $\frac{A}{B} < 0$

Statement 2:

9

Find the equation of the line .

The slope of line is .
Line goes through point .

10

Let and be real numbers.

What is the product of and its complex conjugate?

Statement 1: $a^{2}+b^{2}= 71$

Statement 2: $a^{2}-b^{2}= 39$

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