Subject: Mathematics
Book: Maths Mastery
A parabola can be defined by its focus (point) and directrix (line). Every point on the parabola is equidistant from the focus and directrix. In standard form y–k= (1/(4p))(x–h)², the focus is (h, k+p) and directrix y=k–p, if the parabola opens up/down. Similarly, for sideways orientation, swap roles of x and y. Focus-directrix properties matter in optics (reflecting signals to the focus) or engineering design. Understanding them fosters deeper insight into conic geometry, bridging pure math with real-life reflectors or dish shapes.
The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?
View QuestionA car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionThe simple interest on Rs. 4000 at 5% per annum for 2 years is:
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionWhat is the sum of all even numbers between 1 and 100?
View QuestionIf a square has a perimeter of 64 cm, what is its area?
View QuestionIf a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionWhat is the area of an equilateral triangle with side length 10 cm?
View QuestionHow many ways can 4 people sit in a row?
View Question