Subject: Mathematics
Book: Maths Mastery
To convert parametric x=f(t), y=g(t) into Cartesian form y=F(x), eliminate the parameter t. For example, if x=2 cos(t) and y=3 sin(t), solve cos(t)=x/2, sin(t)=y/3, then sin²(t)+cos²(t)=1→ (x/2)²+(y/3)²=1. This is an ellipse in Cartesian form. Conversions matter for analyzing geometry or simplifying integrals in calculus. Recognizing how parametric forms unify with standard shapes fosters deeper insight into motion, design arcs, or advanced transformations. Mastery cements flexible modeling from parametric constraints to direct functional relationships.
If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?
View QuestionIf the probability of an event is 1/4, what is the probability of its complement?
View QuestionIf a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionA man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionA sphere has a radius of 7 cm. What is its volume?
View QuestionWhat is the square root of 144?
View QuestionWhat is the remainder when 5^100 is divided by 3?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View Question