1

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.
2

IIT-JEE 1979

MCQ (Single Correct Answer)
If $$\ell $$, m, n are real, $$\ell \ne m$$, then the roots by the equation :
$$(\ell - m)\,{x^2} - 5\,(\ell + m)\,x - 2\,(\ell - m) = 0$$ are
A
Real and equal
B
Complex
C
Real and unequal
D
None of these.
3

IIT-JEE 1979

MCQ (Single Correct Answer)
Let a > 0, b > 0 and c > 0. Then the roots of the equation $$a{x^2} + bx + c = 0$$
A
are real and negative
B
have negative real parts
C
both (a) and (b)
D
none of these
4

IIT-JEE 1979

MCQ (Single Correct Answer)
If x, y and z are real and different and $$\,u = {x^2} + 4{y^2} + 9{z^2} - 6yz - 3zx - 2xy$$, then u is always.
A
non negative
B
zero
C
non positive
D
none of these

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