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AP EAMCET202315 May 2023Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x y=a and x+y= 6 , then the quadratic equation satisfying x and y is

Options

  1. At^2+(1-a) 3 t+a=0
  2. B3 t^2+(1-a) t+a 3 =0
  3. C3 t^2+(a-1) t+a 3 =0
  4. Dt ^2+( a -1) 3 t + a =0

Correct answer

B. 3 t^2+(1-a) t+a 3 =0

Step-by-step solution

aligned & Given x+y= 6 & (x+y)= ( 6 ) & x y-1 x+ y = 3 & x+ y= 1 3 ( x y-1)= 1 3 (a-1) aligned So, quadratic equation whose roots are x, y is aligned & t^2-( x+ y) t+ x y=0 & t^2- 1 3 (a-1) t+a=0 & 3 t^2+(1-a) t+ 3 a=0 aligned

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