Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005
done AIEEE Solved Paper-2005 Total Questions - 6
question_answer1) Area of the greatest rectangle that can be inscribed in the ellipse\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\]is
AIEEE Solved Paper-2005
question_answer3) The normal to the curve \[x=a(\cos \theta +\theta \sin \theta ),y=a(\sin \theta -\theta \cos \theta )\]at any point\['\theta '\]is such that
AIEEE Solved Paper-2005
question_answer4) A function is matched below against an interval, where it is supposed to be increasing. Which of the following pairs is incorrectly matched? Interval Function
AIEEE Solved Paper-2005
question_answer5) A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of\[50\text{ }c{{m}^{3}}/\min \]. When the thickness of ice is 15 cm, then the rate at which the thickness of ice decreases, is
AIEEE Solved Paper-2005
question_answer6) If the equation \[{{a}_{n}}{{X}^{n}}+{{a}_{n-1}}{{X}^{n-1}}+....+{{a}_{1}}x=0,\] \[{{a}_{1}}\ne 0,n\ge 2,\]has a positive root \[x=\alpha ,\] then the equation \[n{{a}_{n}}{{x}^{n-1}}+(n-1){{a}_{n-1}}{{X}^{n-2}}+....+{{a}_{1}}=0\] has a positive root, which is
AIEEE Solved Paper-2005