NDA Maths Mock Test – 01 – Q48

Let sin^-1 x + sin^-1 y + sin^-1 z = (3π)/(2) for 0 ≤ x, y, z ≤ 1 . What is the value of x¹⁰⁰⁰ + y¹⁰⁰¹ + z¹⁰⁰² – (9)/(x^{1000) + y1001 + z1002} ?

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1 Let ‘
‘ sinTl gz + sin ly +sinlz = 3
i Which is only possible, when,
sin”lz = Z,sin’y =,
‘ sinTlz=7%
=x=l,y=landz=1
‘ 1000 p1001 4 1002
i =1+1+1=3
149.