IIT-JEE 1980 | Quadratic Equation and Inequalities Question 88 | Mathematics

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IIT-JEE 1980

MCQ (Single Correct Answer)

-0.5

Both the roots of the equation (x - b) (x - c) + (x - a) (x - c) + (x - a) (x - b) = 0 are always

positive

real

negative

none of these.

IIT-JEE 1980

MCQ (Single Correct Answer)

-0.5

The least value of the expression $$2\,\,{\log _{10}}\,x\, - \,{\log _x}(0.01)$$ for x > 1, is

- 0.01

none of these.

IIT-JEE 1980

MCQ (Single Correct Answer)

-0.5

If $$\,({x^2} + px + 1)\,$$ is a factor of $$(a{x^3} + bx + c)$$, then

$${a^2} + {c^2} = - ab\,$$

$${a^2} - {c^2} = - ab$$

$${a^2} - {c^2} = ab$$

none of these

IIT-JEE 1979

MCQ (Single Correct Answer)

-0.5

The equation x + 2y + 2z = 1 and 2x + 4y + 4z = 9 have

only one solution

only two solution

Infinite number of solutions

None of these.

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