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TANGENT AND NORMAL

TANGENT : A straight line which touches a curve at a point externally is called a tangent to the curve at that point and the point is called the point of contact.
Mathematically the value of the first order differential coefficient of a function y = f(x) i.e. dy/dx is equal to the slope of the tangent at that point.
NORMAL : The perpendicular to a tangent to a curve at the point of contact is called normal to the curve at that point.
The slope of a normal is negative of the reciprocal of the slope of the tangent at that point.i.e. - dx/dy.
For more information watch the above video.

RELATION AND FUNCTION CLASS 12

RELATION: Relation between two sets is a rule which associates the elements or element of one set to the elements or element of the other.
If R : A ---> B is a relation from the set A to the set B such that A and B are two non-empty sets, A is said to be domain of the relation R and B is called co-domain of R.

       For example A and B are two families such that three members of the family A ; x, y, z are friends of the members of family B; a , b , c respectively, then the relation " is friend of " is a relation which associates x,y, z of set A with a, b , c of the set B.
Thus here the family A is domain and the family B is co-domain and the relation is defined as
R = is friend of .
         For more information watch the video given above!

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