IIT-JEE 1985 | Quadratic Equation and Inequalities Question 67 | Mathematics

IIT-JEE 1985

MCQ (Single Correct Answer)

-0.5

If $${\log _{0.3}}\,(x\, - \,1) < {\log _{0.09}}(x - 1)$$, then x lies in the interval-

$$(2,\infty )$$

(1, 2)

(- 2, - 1)

none of these

IIT-JEE 1984

MCQ (Single Correct Answer)

-0.5

The equation $$x - {2 \over {x - 1}} = 1 - {2 \over {x - 1}}$$ has

no root

one root

two equal root

infinitely many roots

IIT-JEE 1984

MCQ (Single Correct Answer)

-0.5

If $$\,{a^2} + {b^2} + {c^2} = 1$$, then ab + bc + ca lies in the interval

$$[{1 \over 2},2]\,\,$$

$$[ - 1,2]$$

$$\,[ - {1 \over 2},1]\,$$

$$\,[ - 1,{1 \over 2}]\,\,$$

IIT-JEE 1982

MCQ (Single Correct Answer)

-0.5

The largest interval for which $${x^{12}} - {x^9} + {x^4} - x + 1 > 0$$ is

$$ - 4 < x \le 0$$

$$\,0 < x < 1$$

$$ - 100 < x < 100$$

$$ - \infty < x < \infty $$

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