Statement 1 Roots of `x^(2)-2sqrt(3)x-46=0` are rational.
Statement 2 Discriminant of `x^(2)-2sqrt(3)x-46=0` is a perfect square.

Options

A. Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1
B. Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1
C. Statement -1 is true, Statement -2 is false
D. Statement -1 is false, Statement -2 is true

Explanation

In `ax^(2)+bx+c=0,a,b,c epsilonq`
[here Q is the set of rational number]
If `Dgt0` and is a perfect square, then roots are real, distinct and rational.
But here `2sqrt(3)!inQ`
`:.` Roots are not rational.
Here roots are `(2sqrt(3)+-sqrt((12+184)))/2`
i.e. `sqrt(3)+-7` [irrational ]
But `D=12+184=196=(14)^(2)`
`:.` Statement -1 is false and statement -2 is true.