Co–Ordinate Geometry

13
Aug
Examples 6 to 10 of Co–Ordinate Geometry
  1. If the co–ordinates of centroid of  Δ ABC  with  A (4, 2), B (2, 2a) and C (0, 2) are equal, then find the value of  a.

 Soln. Centroid G  = 

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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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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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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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