AIEEE 2002 | Application of Derivatives Question 130 | Mathematics

AIEEE 2002

MCQ (Single Correct Answer)

-1

The maximum distance from origin of a point on the curve
$$x = a\sin t - b\sin \left( {{{at} \over b}} \right)$$
$$y = a\cos t - b\cos \left( {{{at} \over b}} \right),$$ both $$a,b > 0$$ is

$$a-b$$

$$a+b$$

$$\sqrt {{a^2} + {b^2}} $$

$$\sqrt {{a^2} - {b^2}} $$

AIEEE 2002

MCQ (Single Correct Answer)

-1

If $$2a+3b+6c=0,$$ $$\left( {a,b,c \in R} \right)$$ then the quadratic equation $$a{x^2} + bx + c = 0$$ has

at least one root in $$\left[ {0,1} \right]$$

at least one root in $$\left[ {2,3} \right]$$

at least one root in $$\left[ {4,5} \right]$$

none of these

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