TS ICET 24 May 2018 Shift 1 Paper

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Question : 75 of 200

Marks: +1, -0

For real numbers x and y.let

x o y = x + y — 2xy

. If x o x =

1/2

then x =?

2
1
$3/2$
$1/2$

Solution:

x ∘ y=x+y-2 x y

x ∘ x=\;{1}/{2}

x+x-2(x)(x)=\;{1}/{2}

2 x-2 x^{2}=\;{1}/{2}

4 x^{2}-4 x+1=0

(2 x-1)^{2}=0

⇒x=1/2

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