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 number is divisible by 9, it is also divisible by which of the following?

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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If x^2 - 6x + 9 = 0, what is the value of x?

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What is the cube root of 729?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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What is the sum of the first 50 positive integers?

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What is the cube of 4?

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What is the square root of 121?

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If a square has a perimeter of 64 cm, what is its area?

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