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If ‘sin α’ and ‘cos α’ are the roots of the equation ax2+bx+c = 0 a then b2 =
  • a)
    a2−2ac
  • b)
    a2+2ac
  • c)
    a2+ac
  • d)
    a2−ac
Correct answer is option 'B'. Can you explain this answer?
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If ‘sin α’ and ‘cos α’ are the roo...
We have sin å and cos à are the roots of the quadratic equation.
therefore, sum of the zeros =-b/a
or sin à+cos à=-b/a
and sin à×cos à= c/a
because,b^2=sin a^2+cos a^2+2sin a.cos a
or (-b/a)^2=(sin a^2+cos a^2)+2×c/a
b^2/a^2=1+2c/a
b^2/a^2=a+2c/a
b^2=a(a+2c)
b^2=a^2+2ac
proved
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If ‘sin α’ and ‘cos α’ are the roots of the equationax2+bx+c = 0 a thenb2 =a)a2−2acb)a2+2acc)a2+acd)a2−acCorrect answer is option 'B'. Can you explain this answer?
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