that's real

Consider a ray of light incident on XY, normally along OA, it passes straight along OAA l . Consider another ray from O (the object) incident at an angle i on XY, along OB. This ray gets refracted and passes along BC. On producing this ray BC backwards, it appears to come from the point I and henc..

Theorem 7: - Let f be real valued function in [a,b] such that, f is continuous in [a,b]. f is differentiable in (a,b..

Let f be real valued function in [a,b] such that, 1. f is continuous in [a,b]. 2. f is differentiable in (a,b). ..

Let f and g be real valued functions defined on an interval containing c such that exist. Then The following statement is not true. f(x) < g(x) for all x..

Limits at infinity: If x is a variable such that it can take any real value how much ever If x is a variable such that it can take any real value how much ever The two important properties of these one-sided limits that i) If the left hand limit..

Let f (x) be a real valued function with its domain D. (i) f(x) is said to have absolute maximum value at x = a if f(a) f(x) for all x D. (ii) f(x) is said to have absolute minimum value at x = a if f(a) f(x) for all x D. The following points are to be noted carefully with ..

(First Derivative Test) Let f (x) be a real valued differentiable function. Let a be a point on an interval I such that f '(a) = 0. (a) a is a local maxima of the function f (x) if i) f (a) = 0 ii) f (x) changes sign from positive to negative as x increases through a. That is, f..

C divides AB internally. Let A (x 1 , y 1 ) and B (x 2 , y 2 ) be the two points joined by line segment AB. Let C (x, y) be the point on the line segment such that (In this case, AC and CB are real in the same direction on the line AB.) Draw AP, CR and BQ perpendicular to ..

Magnification - The ratio of the height of the image to the height of the object is called the linear magnification. It is denoted by the letter m. While deriving the mirror formula it has been proved that D ACB and D A 1 CB 1 are similar and so also D FB 1 A 1 and D FED are similar. Where h 1 is t..

>. Considering the refraction of a point object on the surface XP 1 Y, the image is formed at I 1 who is at a distance of V 1 . CI 1 = P 1 I 1 = V 1 (as the lens is thin) CC 1 = P 1 C 1 = R 1 CO = P 1 O = u It follows from the refraction due to convex spherical surface XP 1 Y The refracted ray from..