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

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

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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

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What is the sum of all odd numbers from 1 to 99?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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A number is increased by 20% and then decreased by 10%. What is the net change?

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If 2x = 16, what is the value of x?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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