parametric equations
Mathematics
9th Grade
CCSS covered
Used 2+ times
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8 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A curve has parametric equations. x = 2t, y = t2
(t is greater than -3 and less than 3)
Find the cartesian equation of the curve in the form y = f(x)
y = x/2
y = x/4
y = x2/2
y=x2/4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A curve has parametric equations. x = 2t, y = t2
(t is greater than -3 and less than 3)
State the domain of f(x)
x is greater than -3 but less than 3
x is greater than 6 but less than -6
x is greater than -6 but less than 6
x is greater than 0 but less than 9
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A curve has parametric equations. x = 2t, y = t2
(t is greater than -3 and less than 3)
State the range of f(x)
y is greater than 9 but less than 0
y is greater than 0 but less than 9
y is greater than -3 but less than 3
y is greater than -6 but less than 6
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the cartesian equation of the curve where x = cos t ,
y = 2 cos 2t. (t is greater than 0 but less than 2 pi)
y = 4x2 - 2
y2 = 4x2 - 2
y = 4x - 2
y = 4x2 + 2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A curve is given parametrically by the equations x = t2, y = 4t.
The line x + y = 4 = 0 meets the curve at A.
Find the co-ordinates of A
(4,8)
(4,-8)
(-4,-8)
(-4,8)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A curve is given parametrically by the equations, x = t and y = t2 + 1. Find dy/dx in terms of t
t2
2t2
1/2t
2t
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A curve is given parametrically by the equations, x = t and y = t2 + 1. Find the equation of the tangent at the point A (1,1) on the curve. Given your answer in the form y = mx + c
y = x -2
y = 2x +1
y = 2x -1
y = x + 2
Tags
CCSS.HSA.REI.C.7
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