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1

IIT-JEE 1982

MCQ (Single Correct Answer)
The number of real solutions of the equation $${\left| x \right|^2} - 3\left| x \right| + 2 = 0$$ is
A
4
B
1
C
3
D
2
2

IIT-JEE 1980

MCQ (Single Correct Answer)
If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then
A
$${a^2} + {c^2} = - ab\,$$
B
$${a^2} - {c^2} = - ab$$
C
$${a^2} - {c^2} = ab$$
D
none of these
3

IIT-JEE 1980

MCQ (Single Correct Answer)
The least value of the expression $$2\,\,{\log _{10}}\,x\, - \,{\log _x}(0.01)$$ for x > 1, is
A
10
B
2
C
- 0.01
D
none of these.
4

IIT-JEE 1980

MCQ (Single Correct Answer)
Both the roots of the equation (x - b) (x - c) + (x - a) (x - c) + (x - a) (x - b) = 0 are always
A
positive
B
real
C
negative
D
none of these.

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