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If xacossiny = asincosthendydxx=a(cos θ+θ sin θ),y = a(sin θ-θ cos θ),thend2ydx2= ____________. -

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Question

If `"x" = "a" ("cos"  theta + theta  "sin"  theta), "y = a" ("sin"  theta - theta  "cos"  theta), "then" ("d"^2 "y")/("dx"^2) =` ____________.

Options

  • `("sec"^3 theta)/("a"  theta)`

  • `("sec"^2 theta)/ theta`

  • `"a"  theta  "cos"^3 theta`

  • `("sec"^2 theta)/ "a"`

MCQ
Fill in the Blanks

Solution

If `"x" = "a" ("cos"  theta + theta  "sin"  theta), "y = a" ("sin"  theta - theta  "cos"  theta), "then" ("d"^2 "y")/("dx"^2) =` `underline(("sec"^3 theta)/("a"  theta))`.

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