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Verify the statement proved above for p=...

Verify the statement proved above for `p=2, p=5` and for `a^2=1,4,9,25,36,49,64 and 81.`

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Verify the theorem proved above for p= 2, p = 5 and for a^2 = 1, 4, 9, 25, 36, 49, 64 and 81.

Write the following equation in statements froms: 3p+4=25

Knowledge Check

  • Consider the function , f(x) =|x-2|+|x-5|,x in R statement 1 : f^'(4) =0 statement 2 : f is continuous in [2,5] and differentiable in (2,5) and f(2) =f(5).

    A
    Statement 1 is true , statement 2 is true, statement 2 is not a correct explanation for statement 1
    B
    statement 1 is true, statement 2 is false
    C
    statement 1 is false, statement 2 is true
    D
    statement 1 is true , statement 2 is true, statement 2 is a correct explanation for statement 1
  • Observe the following statements : Statement-1 : The probabilities of the events A,B and C are respectively (2)/(3) , (1)/(4) and (1)/(6) then A,B,C are exhaustive Statement-2 : If the probability for A to fail in an examination is 0.2 and that for B is 0.3 then the probability that either A or B fails is 0.5 Statement-3 : If A and B are two independent events then P(AnnbarB)+P(A)P(B)=P(A) Which of the above are false

    A
    `S_(1),S_(2)`
    B
    `S_(2),S_(3)`
    C
    `S_(1),S_(3)`
    D
    all the above
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