Maths-
General
Easy

Question

The square of the length of tangent from (3, -4) on the circle x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 6 y plus 3 equals 0

  1. 20    
  2. 30    
  3. 40    
  4. 50    

hintHint:


 

The correct answer is: 40


    In the question we were asked to find the length of the tangent of the given curve at a point
    Given curve= x to the power of 2 end exponent plus y to the power of 2 end exponent minus 4 x minus 6 y plus 3 equals 0
    Given point=(3,-4)

    Length of tangent from the point (h,k) to the circlex squared plus y squared plus 2 g x plus 2 f y plus c equals 0 space space space i s space space space square root of h squared plus k squared plus 2 g h plus 2 f k plus c end root
R e q u i r e d space l e n g t h space o f space tan g e n t space f r o m space t h e space p o i n t space left parenthesis 3 comma negative 4 right parenthesis space t o space t h e space c i r c l e space space
x squared space space plus y squared space minus 4 x minus 6 y plus 3 equals 0
square root of 32 plus 42 minus 12 plus 24 plus 3 end root equals square root of 40
S q u a r e space o f space t h e space space l e n g t h space o f space t h e space tan g e n t space equals space 40

     

    Hence option C is correct

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