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COMEDK2023MathematicsStraight Lines

3 and 5 are intercepts of a line L=0 , then the distance of L=0 from (3,7) is

Options

  1. A31
  2. B34
  3. C21 34
  4. D34 31

Correct answer

C. 21 34

Step-by-step solution

If 3 and 5 are intercepts of a line L=0 , then x -intercept =a=3y -intercept =b=5 Equation of line is x 3 + y 5 =1 5 x+3 y-15=0 Required distance = | 5(3)+3(7)-15 5^2+3^2 |= 21 34

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