AIEEE 2004 | Quadratic Equation and Inequalities Question 128 | Mathematics

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AIEEE 2004

MCQ (Single Correct Answer)

-1

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

$${x^2} - 18x - 16 = 0$$

$${x^2} - 18x + 16 = 0$$

$${x^2} + 18x - 16 = 0$$

$${x^2} + 18x + 16 = 0$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

If $$\left( {1 - p} \right)$$ is a root of quadratic equation $${x^2} + px + \left( {1 - p} \right) = 0$$ then its root are

$$ - 1,2$$

$$ - 1,1$$

$$ 0,-1$$

$$0,1$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

If one root of the equation $${x^2} + px + 12 = 0$$ is 4, while the equation $${x^2} + px + q = 0$$ has equal roots,
then the value of $$'q'$$ is

$${{49} \over 4}$$

AIEEE 2003

MCQ (Single Correct Answer)

-1

If the sum of the roots of the quadratic equation $$a{x^2} + bx + c = 0$$ is equal to the sum of the squares of their reciprocals, then $${a \over c},\,{b \over a}$$ and $${c \over b}$$ are in

Arithmetic - Geometric Progression

Arithmetic Progression

Geometric Progression

Harmonic Progression

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