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AP EAMCET202021 Sep 2020Evening ShiftMathematicsPair of LinesActual

If slope of one line of (a x^2+4 x y+y^2=0 ) is 3 times the other, then the value of ' (a ) ' is

Options

  1. A-3
  2. B-1
  3. C3
  4. D1

Correct answer

C. 3

Step-by-step solution

Let the slope of lines are (m ) and (3 m ) respectively which are represented by (a x^2+4 x y+y^2=0 ) ( ) Sum of slopes (=m+3 m=- 4 1 =-4 m=-1 ) and product of the slopes (=m(3 m)= a 1 m^2= a 3 ) ( (-1)^2= a 3 a=3 ) Hence, option (c) is correct.

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