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Question

If the equation (a5)x2+2(a10)x+a+10=0 has roots of opposite signs, then

A
a > 10-
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B
-15 < a < 5
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C
-10 < a < 5
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D
none of these
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Solution

The correct option is D -15 < a < 5
As we are given roots are opposite in sign
So, let us assume α,α are roots of given equation.
Sum of roots=ba=0
2(a10)a5=0
a=10
(B).

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