Lesson 1.03g
1.03g Parametric equations Quiz: OCR Maths, Unit 3
20 questions
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Lesson 1.03g, Parametric equations: 20 multiple choice questions for the OCR Maths (H240), Unit 3: Coordinate Geometry in the x-y Plane, written with Revision Ninja.
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The 20 questions
-
What term is given to the independent variable t in parametric equations x(t) and y(t)?
- Constant
- Asymptote
- Gradient
- Parameter
-
Eliminate t from x = t + 1 and y = 2t.
- y = 2x + 2
- y = x^2 - 1
- y = x - 1
- y = 2x - 2
-
Eliminate the parameter from x = 2 cos t and y = 2 sin t.
- x^2 + y^2 = 2
- x^2 + y^2 = 4
- x^2 - y^2 = 4
- x + y = 2
-
Eliminate t from x = t^2 and y = 2t.
- y^2 = 4x
- x^2 = 4y
- y = 4x^2
- y^2 = 2x
-
A curve is given by x = 10t and y = 20t - 5t^2. What is the point when t = 2?
- (40, 0)
- (10, 10)
- (20, 20)
- (20, 15)
-
The line x = 1 + 3t, y = 2 - t has what point at t = 2?
- (7, -2)
- (4, 1)
- (7, 0)
- (1, 2)
-
Convert x = 3t - 1, y = t^2 to a Cartesian equation.
- y = x^2 + 1
- y = (x - 1)^2 / 9
- y = (x + 1)^2 / 9
- y = (3x + 1)^2
-
What Cartesian relation holds for x = t and y = 1/t?
- xy = 1
- x^2 + y^2 = 1
- y = x^2
- x + y = 1
-
What are the centre and radius of the curve x = 3 + 2 cos t, y = -1 + 2 sin t?
- Centre (3, -1), radius 4
- Centre (-3, 1), radius 2
- Centre (3, -1), radius 2
- Centre (2, 3), radius 1
-
Where does the curve x = t^2 - 4, y = t cross the x-axis?
- (4, 0)
- (-2, 0)
- (0, -4)
- (-4, 0)
-
Convert x = 2t, y = t^2 - 1 to a Cartesian equation.
- y = x/2 - 1
- y = x^2 - 1
- y = 2x^2 - 1
- y = x^2/4 - 1
-
Where does the parametric line x = t, y = 2t + 1 meet the line y = 3 - x?
- (2/3, 7/3)
- (1/2, 2)
- (2, 5)
- (1, 3)
-
Where does x = 4 - t, y = t^2 meet the y-axis?
- (0, 4)
- (0, 16)
- (0, -16)
- (4, 0)
-
Eliminate t from x = t^3 and y = t^2.
- y = x^2
- y^3 = x^2
- y = x^3
- y^2 = x^3
-
Is the point (9, 11) on the curve x = 2t + 3, y = 4t - 1?
- Yes, at t = 4
- Yes, at t = 3
- No, because t = 4 gives x = 9
- No, because y = 12 at t = 3
-
What is the minimum value of y = t^2 - 2t for the parametric curve x = t, y = t^2 - 2t?
- 1
- 0
- -1
- -2
-
Eliminate t from x = 1/t and y = 2t.
- x = 2y
- x + y = 2
- xy = 2
- y = 2x^2
-
Where does x = t^2 - 1, y = 2t meet the y-axis?
- (0, 2) and (0, -2)
- (0, 4) only
- (0, 0) only
- (0, 1) and (0, -1)
-
For x = t - 2, y = t^2 + 3, what is y when x = -1?
- 4
- 3
- 8
- 2
-
What is the point on x = 3 cos t, y = 3 sin t at t = pi/2?
- (3, 0)
- (0, -3)
- (-3, 0)
- (0, 3)
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