Maths-
General
Easy

Question

A ray of light passing through the point A (1, 2) is reflected at a point B on the x-axis and then passes through (5, 3) Then the equation of AB is

  1. 5x + 4y = 13    
  2. 5x – 4y = – 3    
  3. 4x + 5y = 14    
  4. 4x – 5y = – 6    

The correct answer is: 5x – 4y = – 3


    ]
    But x + fraction numerator 1 over denominator x end fraction > 0; \ fraction numerator x to the power of 2 end exponent plus 1 over denominator x end fraction greater than 0 Þ x > 0 (ii)
    From (i) & (ii) x > 1; log subscript x plus fraction numerator 1 over denominator x end fraction end subscript invisible function application open parentheses 1 o g subscript 2 end subscript fraction numerator x minus 1 over denominator x plus 2 end fraction close parentheses greater than 0
    Take antilog, log2fraction numerator x minus 1 over denominator x plus 2 end fraction>1
    Take antilogfraction numerator x minus 1 over denominator x plus 2 end fraction > 2; fraction numerator x plus 5 over denominator x plus 2 end fraction < 0 Þ xÎ(–5, –2)
    But not true as x > 1
    Now find equation of AP¢

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