Topic Details (Notes format)

How to Solve Parametric Equations in 2D

Subject: Mathematics

Book: Maths Mastery

Parametric equations define x and y in terms of a parameter t, like x=f(t), y=g(t). For instance, a circle can be paramed as x=r cos(t), y=r sin(t). Solving parametric equations can mean eliminating t (e.g., dividing y/x= tan(t)) or analyzing motion (velocity, acceleration). Parametrics appear in projectile motion or curved paths. Mastery ensures you can switch between parametric and standard forms or interpret real-world trajectory data with straightforward geometry or algebra tools.

Practice Questions

If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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If the probability of an event is 1/4, what is the probability of its complement?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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If 2x - 3 = 7, what is the value of x?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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The LCM of 12 and 15 is:

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What is the square root of 0.25?

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