Set of solutions of the equation 3∣∣(x−9)2(x−1)∣∣−6∣∣x2−10x+9∣∣=0 is
A
{1,7,9}
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B
{1,7,9,11}
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C
{1,9,11}
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D
{1,9}
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Solution
The correct option is B{1,7,9,11} 3∣∣(x−9)2(x−1)∣∣−6∣∣x2−10x+9∣∣=0⇒3|x−9||x−9||x−1|−6|x−9||x−1|=0⇒(3|x−9|−6)(|x−9||x−1|)=0 ⇒3|x−9|−6=0 or |x−9|=0 or |x−1|=0⇒x=11,7 or x=9 or x=1
So, the solution set is {1,7,9,11}