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AP EAMCET20228 Jul 2022Morning ShiftMathematicsDifferentiationActual

If y= a x+b c x+d and d x d y = a d-b c P y^2+Q y+R then P+Q+R=

Options

  1. A(a+c)^2
  2. B(a-c)^2
  3. Ca d-b c a^2-c^2-2 a c
  4. D1 (a-c)^2

Correct answer

B. (a-c)^2

Step-by-step solution

We are given that y = ax + b cx + d aligned & c x y+d y=a x+b & (a-c y) x=d y-b x= d y-b a-c y & d x d y = (a-c y) d-(d y-b) (-c) (a-c y)^2 & d x d y = a d-c d y+c d y-b c (a-c y)^2 = a d-b c a^2+c 2 y^2-2 a c y aligned Here P = C 2, Q =2 ac , R = Q ^2 P + Q + R = C ^2-2 ac + a ^2= a ^2+ c ^2-2 ac =( a - C )

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