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AP EAMCET202021 Sep 2020Evening ShiftMathematicsStraight LinesActual

If the length of the intercept made on the line (y=a x ) by the lines (y=2 ) and (y=6 ) is less than 5

Options

  1. A(a (- , ) )
  2. B(a ( -4 3 , 4 3 ) )
  3. C(a ( -3 4 , 4 3 ) )
  4. D(a 4 3 )

Correct answer

D. (a 4 3 )

Step-by-step solution

The point of intersection of lines (y=a x ) and (y=2 ) is (A ( 2 a , 2 ) ) and of the lines (y=a x ) and (y=6 ) is (B ( 6 a , 6 ) ), so ( aligned & A B= ( 6 a - 2 a )^2+(6-2)^2 16 9 a (- ,- 4 3 ) ( 4 3 , ) aligned ) (given) Hence, option (d) is correct.

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