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For all ' x^(prime),x^2+2a x+(10-3a)>0, ...

For all `' x^(prime),x^2+2a x+(10-3a)>0,` then the interval in which `' a '` lies is (2004, 1M) `a<-5` (b) `-55` (d) `2

A

`alt -5`

B

`-5 lt alt 2`

C

`agt5`

D

`2 lt alt 5`

Text Solution

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Knowledge Check

  • For all x, x^2+2ax+(10-3a) gt 0 , then the interval in which a lies, is

    A
    `a lt -5`
    B
    `-5 lt a lt 2`
    C
    `a gt 5`
    D
    `2 lt a lt 5`

  • For all 'x', x^(2) + 2ax + 10 - 3a gt 0 , then the interval in which 'a' lies is

    A
    `a lt -5`
    B
    `-5 lt a lt 2`
    C
    `a gt 5`
    D
    `2 lt a lt 5`

  • For all 'x', x^(2)+2ax+10-3a gt 0 , Statement 1 : the interval in which 'a' lies is -5 lt a lt 2 because Statement 2 : the sign of coefficient of x^(2) and the quadratic expression are same for all R iff the discriminant is negative.

    A
    Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 2
    B
    Statement - 1 is True, Statement - 2 is True, Statement - 2 is NOT a correct explanation for statement - 2
    C
    Statement - 1 is True, Statement - 2 is False
    D
    Statement - 1 is False, Statement - 2 is True

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