theorems

08
Aug
Examples 1 to 4 of Clocks

(1) Find the angle between the hour hand and the minute hand of  a clock when the time is 3 : 30.

Soln. Hour hand covers a distance  of  3 hrs. and  30 minutes  =  210 minutes and Minute hand covers a distance of  30 minutes.

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08
Aug
General Concepts

GENERAL  CONCEPTS  :  

 ↦ It is 11 : 00  o’clock. In how many minutes both the hands will coincide ?

 Soln. Our wrong answer is 55 minutes. Because we always give answer by fixing ( no movem…

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08
Aug
Clocks

INTRODUCTION  :   We know that the person who appreciate the time, the time will appreciate him. We have mainly two hands in a watch or clock. ( Actually we have three hands, but we ignore the seconds hand because …

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08
Aug
Loci

Locus  :   If  a point moves according to some given geometrical conditions, then the path traced out by the moving point is called its Locus ( or Curve ).

The locus of  a point equidistant from two given poin…

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Posted in: Loci,
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08
Aug
Examples of Circle

1) Δ PQR  is an equilateral triangle.  Find  QSR  and  QTR.

Soln. Δ PQR  is equilateral.   ∴ ∠QPR  =  600.

∴∠QSP  =  600

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Posted in: Examples of Circle,
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08
Aug
Circle and its tangent

Circle  and  its  tangent  :

↦ Three collinear points cannot lie on a circle.

↦ If  a line in the plane of a circle has common point with the circle, then there are two alternatives :

  • The line intersects the circ…
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Posted in: Circle and its tangent,
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08
Aug
Arc of a circle and its length

Arc of a circle and its length  :

  • Arc of a circle :  If  A and B are any two distinct points on a circle, then the set of all the points of the circle lying in any closed half-plane of 
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Posted in: Arc of a circle and its length,
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