ganit

13
Aug
Orthogonal Curves

Orthogonal Curves  :   If  the tangents of  both the curves at their point of  intersection are perpendicular to each other, then the both curves are called orthogonal curves.

Two circles S : x2  + …

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13
Aug
Length of  a Tangent

Length of  a Tangent :–

 Two tangents to a circle can be drawn from a point lying in the exterior of the circle.

In this case,

  • PT1 =   PT2
  • PC bisects 
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Posted in: Length of  a Tangent,
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13
Aug
Tangent

Tangent :–

 (i) Equation of  a tangent to a circle S : x2 +  y2 =   r2 at point M ( x1, y1 ) is  x1x +  y1y =   r2. And  eq…

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Posted in: Tangent,
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13
Aug
The relation between  a circle S

The relation between  a circle S : x2 + y2 + 2gx + 2fy + c = 0 = 0  and a point  (x1, y1)  in its plane :

(i) If 

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13
Aug
Equation of  a Circle

Equation of  a Circle :–

  Parametric Equation of  a circle with centre ( h, k) and radius = r  :

x  =  h + r cosθ and y  =  k + r sinθ  :  Where,  θ ∈ ( – π, π]

P…

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Posted in: Equation of  a Circle,
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13
Aug
Circle

☼    CIRCLE  

Condition for the General Quadratic Equation represents a circle :–

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Posted in: Circle,
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13
Aug
Pairs of  Lines

Pairs of  Lines  :

 (i) The equation  ax2 + 2 hxy + by2  =  0  represents a pair of  lines passing through the origin if  h2

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13
Aug
Concurrent lines

Concurrent lines :-    If three or more distinct coplanar lines pass through a single common point, they are said to be concurrent lines and that point is called their point of concurrence.

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