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If b gt a, then the equation (x-a)(x-b)-...

If `b gt a`, then the equation `(x-a)(x-b)-1=0` has
(a) Both roots in `(a, b)` `" "` (b) Both roots in `(-oo, a)`
(c) Both roots in `(b, +oo)` `" "` (d) One root in `(-oo, a)` and the other in `(b, +oo)`

A

both roots in [a, b]

B

both roots in `(-oo, a)`

C

roots in `(-oo, a)` and other in `(b, oo)`

D

both roots in `(b, oo)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  13. The expression y = ax^2+ bx + c has always the same sign as of a if (A...

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