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Kelompok 6
 

Kelompok 6

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It's talk about The Equation of the Target Line on a Circle

It's talk about The Equation of the Target Line on a Circle

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    Kelompok 6 Kelompok 6 Presentation Transcript

    • The Equation of the Target Line on a Circle Group 6 Audi Renata Fajri Parmi Junia Handayanis LupitaYessica
      • Equation of the Tangent Line on a circle through point of T (x,y)
      • With center of (0,0)
      • Gradient TO, m TO =
      • Gradient h, m h = -
      O T(x,y) h
      • So,
      • Because point T(x 1 ,y 1 ) is located inside the circle x 2 +y 2 =r 2 .....(2) substitute equation (1) and (2)
      • With center of P (a,b)
      P(a,b) r T(x,y) x y 0
      • Gradient line of TP is m TP =
      • Tangent line of h is perpendicular with line TP, so the gradient tangent line h :
      • Equation of tangent line h is :
      • because T(x1,y1) on
      • L
      • So it occures :
      • then sub stitute equation (1) and (2)
      • Based on above description , the tangent line equation on circle L
      • pass through the tangent point T(x 1 ,y 1 )
      • found with :
    • Example
      • Determine the equestion of the tangent line to the circle:
      • X 2 +y 2 =5 at point (-2,1)
      • (x+2) 2 +(y+3) 2 =40 at point of(4,-1)
      • a. X 2 +y 2 =5 at point (-2,1)
      • b. (x+2) 2 +(y+3) 2 =40 at point of(4,-1)