Subject: Mathematics
Book: Maths Mastery
An ellipse in standard form is (x–h)²/a² + (y–k)²/b²=1, centered at (h,k). a and b are the semi-major or semi-minor axes lengths, indicating radii along x or y directions. Plot center, move ±a horizontally, ±b vertically for reference points, and sketch a smooth oval. Ellipses model planetary orbits, lens shapes, or mechanical linkages. Understanding ellipse parameters fosters advanced geometry solutions—like finding focal points (for reflection properties) or using them in design constraints where elliptical arcs are needed.
The probability of getting an even number when rolling a die is:
View QuestionA rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionA sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionWhat is the cube of 4?
View QuestionWhat is the 7th term of the arithmetic progression 3, 6, 9, 12,...?
View QuestionIf 2a + b = 10 and a - b = 4, what is the value of a?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionIf sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View Question