Tangents, Normals and Coordinate Geometry Test

Unit Test #50

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

Find dy⁄dx for the circle x2 + y2 = 36

A. 2x + 2y

B. 36y

C. -x / y

D. -y / x
Answer 1:

 

Q2:

 

The gradient of a tangent to a curve at a point is 0.2

What is the gradient of the normal to the tangent at the same point?

A. 0.8

B. 5

C. -5

D. 0.04
Answer 2:

 

Q3:

 

The equation of a tangent to a curve at a point is

y = 2x + 4

What is the gradient of the normal to the curve at this point?

A. -0.5

B. -2

C. 0.5

D. 2
Answer 3:

 

Q4:

 

 Give the parametric equations of the ellipse 

A. x = 36cos t
y = 25sin t

B. x = 6cos t
y = 25sin t

C. x = 36cos t
y = 5sin t

D.x = 6cos t
y = 5sin t
Answer 4:

 

Q5:

 

What is the gradient function of the ellipse  ?

 

A. 

B. 

C. 

D. 
Answer 5: