Class 9 Exam  >  Class 9 Questions  >  a)2M – 1b)2M2+1c)2M2−1d)2M + 1Cor... Start Learning for Free
  • a)
    2M – 1
  • b)
    2M2+1
  • c)
    2M2−1
  • d)
    2M + 1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
a)2M – 1b)2M2+1c)2M2−1d)2M + 1Correct answer is option 'C'...
If the mean of x and 1/2 is M. then the mean of

x² and 1/x² is

Mean of x and 1/x is M. So

( x +1/x)/2=M

Squaring on both sides,

(x +1/x)²/2²=M²

(x² + 1/x²+2*x*1/x)/4=M²

x²+1/x²+2=4 m²

x²+ 1/x²=4m²-2

Dividing by 2 on both sides,

(x²+1/x²)/2=(4m²-2)/2

= (x²+1/x²)/2 =2 *(2m²-1)/2=2m²-1

=Mean of x² and 1/x²=(2m²-1)
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Most Upvoted Answer
a)2M – 1b)2M2+1c)2M2−1d)2M + 1Correct answer is option 'C'...
If the mean of x and 1/2 is M. then the mean of

x² and 1/x² is

Mean of x and 1/x is M. So

( x +1/x)/2=M

Squaring on both sides,

(x +1/x)²/2²=M²

(x² + 1/x²+2*x*1/x)/4=M²

x²+1/x²+2=4 m²

x²+ 1/x²=4m²-2

Dividing by 2 on both sides,

(x²+1/x²)/2=(4m²-2)/2

= (x²+1/x²)/2 =2 *(2m²-1)/2=2m²-1

=Mean of x² and 1/x²=(2m²-1)
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Community Answer
a)2M – 1b)2M2+1c)2M2−1d)2M + 1Correct answer is option 'C'...
If the mean of x and 1/2 is M. then the mean of

x² and 1/x² is

Mean of x and 1/x is M. So

( x +1/x)/2=M

Squaring on both sides,

(x +1/x)²/2²=M²

(x² + 1/x²+2*x*1/x)/4=M²

x²+1/x²+2=4 m²

x²+ 1/x²=4m²-2

Dividing by 2 on both sides,

(x²+1/x²)/2=(4m²-2)/2

= (x²+1/x²)/2 =2 *(2m²-1)/2=2m²-1

=Mean of x² and 1/x²=(2m²-1)
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a)2M – 1b)2M2+1c)2M2−1d)2M + 1Correct answer is option 'C'. Can you explain this answer?
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