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AP EAMCET202315 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If + =a and + =b , then match the items given in List -A with those of their values in List-B

Options

  1. A(I) (a), (II) (e), (III) (d), (IV) (c)
  2. B(I) (a), (II) (c), (III) (b), (IV) (e)
  3. C(I) (a), (II) (d), (III) (c), (IV) (b)
  4. D(I) (a), (II) (d), (III) (b), (IV) (c)

Correct answer

D. (I) (a), (II) (d), (III) (b), (IV) (c)

Step-by-step solution

(d) + =a a=2 ( + 2 ) ( - 2 ) and + =b b=2 ( + 2 ) ( - 2 ) b a = ( + 2 ) [Hence ( I ) (a) ] Now ( + )= 2 ( + 2 ) 1- ^2 ( + 2 ) = 2 a b a^2-b^2 [Hence (IV) (c) ] Since ( + )= 2 a b a^2-b^2 ( + )= 2 a b a^2+b^2 and [Hence III b ] ( + )= a^2-b^2 a^2+b^2 [Hence II d ]

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