Скачать или смотреть Tangent And Normal | One Shot | Differential Calculus | Bsc 1st Semester | B.Sc. First Year | CCSU

This Video Contains -
00:00 Intro
00:23 Tanget to a curve
11:41 Normal to a curve
14:03 Ex-1 Find the equation of the tangent and the normal at any point (x,y) of the curve x^m/a^m +y^m/b^m =1
20:23 Ex-2 Find the equation of the tangent and the normal at the point t on the cycloid x=a(t+sint),y=a(1-cost)
24:27 Angle of Intersection
27:45 Ex-5 Find the angle of intersection of the parabolas y^2=4ax and x^2=4by
38:01 Ex-6 Show that the conditions that the curves
ax^2+by^2=1 and a'x^2+b'y^2=1 should intersect orthogonally is that 1/a-1/b=1/a^' -1/b'
47:28 Lenght of tangent
52:42 Length of Subtangent
54:13 Length Of Normal
56:02 Length Of Subnormal
01:01:03 Ex-7 In the curve x^(m+n)=a^(m-n) y^2n , prove that the m^th of the sub-tangent varies as the n^(th )power of the sub-normal.
01:08:26 Ex-8 If the tangent to the curve x^(1/2)+y^(1/2)=a^(1/2) at any point on it cuts the axes OX, OY at P,Q respectively , prove that OP+OQ=a.
01:14:25 Polar Coordinates
01:17:45 Angle between radius vector and Tangent
01:19:04 Angle of intersection of two polar curves
01:19:33 Ex-9 Show that the parabolas r=a/(1+cosθ) and r=b/(1-cosθ) intersect orthogonally.
01:25:03 Ex-10 Find the angle of intersection of the curves
r^2=16 sinθ and r^2 sin⁡〖2θ=4〗
01:31:05 Length of Polar Subtangent
01:34:26 Length Of Polar Subnormal
01:35:24 Length of the perpendicular from pole to tangent '
01:42:24 Pedal Equation
01:42:57 Ex12- Show that the pedal equation of the ellipse x^2/a^2 +y^2/b^2 =1 is 1/p^2 =1/a^2 +1/b^2 -r^2/(a^2 b^2 )
01:50:09 Ex-14 Form the pedal equation of the sine spiral r^n=a^n sin⁡nθ
01:53:26 Differential Coefficient of Arc Length