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Definite Integrals

If the curve ...

Question

If the curve $y = x^{2} - 2 z x + a^{2} - 1$ cuts the x - axis at two points in between (-3, 0) and (4, 0) then the no. of possible values of [a]. Where [] is the greatest integer function

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Solution

The correct option is A 4
$x^{2}$ - 2ax + $a^{2}$ - 1 = 0
x = a + 1 or a - 1
a - 1 > -3, a + 1 < 4
-2 < a < 3

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