1
IIT-JEE 1980
MCQ (Single Correct Answer)
+2
-0.5
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.
2
IIT-JEE 1980
MCQ (Single Correct Answer)
+2
-0.5
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.
3
IIT-JEE 1980
MCQ (Single Correct Answer)
+2
-0.5
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
4
IIT-JEE 1979
MCQ (Single Correct Answer)
+2
-0.5
The equation x + 2y + 2z = 1 and 2x + 4y + 4z = 9 have
A
only one solution
B
only two solution
C
Infinite number of solutions
D
None of these.
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