AREA OF A TRIANGLE
If D represents the area of a triangle then
D = 1/2 ab sin C = 1/2 bc sin A = 1/2 ca sin B
D = {s(s-a)(s-b)(s-c)}1/2
D = abc/4R
D = rs
where 2s= a+b+c and r is the inradius of the triangle
NOTE:
RELATION BETWEEN r AND R
r = 4 R sin A/2 sin B/2 sin […]
Coordinate geometry is a branch of mathematics in which points are represented with respect to a coordinate system, such as Cartesian coordinates, and in which the approach to geometric problems is primarily algebraic. It springs from the idea that any point in two-dimensional space can be represented by two numbers and any point in three-dimensional […]
The branch of mathematics dealing with the relationships between the angles and the sides of triangles, and the calculations based on them. It originated as the study of certain mathematical relations in a triangle containing a right angle (90°). Literally, it means triangle measurement, though its applications extend far beyond geometry. It emerged as a […]
JEE Mathematics Syllabus
AlgebraAlgebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums […]