definition

16
Aug
Functions

Integer  Part  Function  [ x ]     OR    Floor  Function ⌊x⌋  :–

f : R → Z,   f (x) =  ‘ the greatest integer not greater than x

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Posted in: Functions,
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13
Aug
Examples 21 to 23 of Co–Ordinate Geometry
  1. Find the no. of common tangent to x2 + y2 =  4  and x2 + y2 –  8y + 12 = 0.

Soln. The centre of  the first circle is  C1(0, 0…

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13
Aug
Examples 16 to 20 of Co–Ordinate Geometry
  1. Find the perpendicular distance between two lines 3x + 4y – 2 = 0 and 6x + 8y – 1 = 0.

Soln. Here, both the lines are 6x + 8y – 4 = 0  and  6x + 8y – 1 = 0.

∴  p   = 

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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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Posted in: Examples 6 to 10 of Co–Ordinate Geometry,
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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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Posted in: Orthogonal Curves,
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