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 x - y = 5 and x + y = 15, what is the value of x?

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A sphere has a radius of 7 cm. What is its volume?

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The LCM of 12 and 15 is:

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

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If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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If the perimeter of a square is 40 cm, what is the area of the square?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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

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