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Parametric Equations in Algebraic Contexts

Math ⇒ Algebra

Parametric Equations in Algebraic Contexts starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Parametric Equations in Algebraic Contexts. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
Convert the parametric equations x = 4t + 2, y = 3t - 1 to a Cartesian equation.
Given the parametric equations x = 2t + 1, y = t², for what value(s) of t does y = 9?
Given the parametric equations x = t + 1, y = 2t - 3, find the coordinates of the point when t = 4.
Given x = 2 cos t, y = 2 sin t, what is the radius of the circle represented by these equations?
Given x = 2t + 3, y = 4t - 5, find the value of t when x = 7.
Given x = 2t, y = 3t + 1, find the Cartesian equation relating x and y.
Given x = 2t, y = t², what is the Cartesian equation relating x and y?
Given x = 4 cos t, y = 3 sin t, what is the equation of the ellipse in Cartesian form?
Given x = t², y = t³, find the value of y when x = 9.
If x = 3 cos θ and y = 3 sin θ, what is the Cartesian equation relating x and y?
If x = 3t + 1 and y = 2t - 4, express y in terms of x.
If x = 5t - 2 and y = 3t + 4, what is the value of y when x = 8?
If x = t - 1 and y = 2t + 3, find the value of y when x = 5.
If x = t² - 1 and y = 2t, express t in terms of y.
If x = t² - 4 and y = t - 2, eliminate the parameter t to find the relationship between x and y.
If x = t² + 1 and y = t + 2, eliminate the parameter t to find the relationship between x and y.
If x = t³ and y = t², eliminate the parameter t to find the relationship between x and y.