.This is an MCQ-based quiz on the topic of ACT Mathematics: Coordinate Plane Quiz.

This set of MCQs helps you brush up on the important mathematics topic and prepare you to dive into skill practice and expand your knowledge to tackle the question and answer it carefully.

Find the equation of a tangent line to

y=x^2

for the point

(0,0) ?

y = 0

y = 2

y = 1

y = 2x

What is the equation of a tangent line to

y=5x^5+2

at the point

(1,7) ?

y=25x+18

y=25x−20

y=25x−18

y=25x−20

What is the tangent line equation of

y=x^4+4x

at point

(1,5) ?

y=8x+3

y=8x−3

y=8x−6

y=8x+6

What is the equation of a tangent line to

y=x^2+4x+2

at point (1,7) ?

y=6x+1

y=6x+9

y=6x-1

y=6x-9

**Give the equation, in slope-intercept form, of the line tangent to the circle of the equation **

**x^2−6x+y^2−91=0**

**at the point (−3,8).**

y = 3/4x + 41/4

y = 3/4x + 41/6

y = -3/4x + 41/4

y = 3/4x - 41/4

Give the equation, in slope-intercept form, of the line tangent to the circle of the equation

x^2+y^2=225

at the point (12,−9).

y = (4/3)x−25

y = -(4/3)x−25

y = (4/6)x−25

y = (4/3)x−20

3*x* – 4*y* = –25

3*x* – 4*y* = 25

3*x* + 4*y* = –25

-3*x* + 4*y* = –29

0.5

2

1

0.33

Find the slope of the tangent line to y=2x^2−16x+21 where x=2.

24

-3

-8

13

There is a circle on a coordinate plain. Its perimeter passes through the point (1,0). At this point meets a tangent line, which also passes through the point (5,7). What is the slope of the line perpindicular to this tangent line?

-7/4

7/6

7/4

-4/7