1
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
A function $$y=f(x)$$ has a second order derivative $$f''\left( x \right) = 6\left( {x - 1} \right).$$ If its graph passes through the point $$(2, 1)$$ and at that point the tangent to the graph is $$y = 3x - 5$$, then the function is
A
$${\left( {x + 1} \right)^2}$$
B
$${\left( {x - 1} \right)^3}$$
C
$${\left( {x + 1} \right)^3}$$
D
$${\left( {x - 1} \right)^2}$$
2
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
If $$2a+3b+6c=0$$, then at least one root of the equation
$$a{x^2} + bx + c = 0$$ lies in the interval
A
$$(1, 3)$$
B
$$(1, 2)$$
C
$$(2, 3)$$
D
$$(0, 1)$$
3
AIEEE 2004
MCQ (Single Correct Answer)
+4
-1
The normal to the curve x = a(1 + cos $$\theta $$), $$y = a\sin \theta $$ at $$'\theta '$$ always passes through the fixed point
A
$$(a, a)$$
B
$$(0, a)$$
C
$$(0, 0)$$
D
$$(a, 0)$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If the function $$f\left( x \right) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1,$$ where $$a>0,$$ attains its maximum and minimum at $$p$$ and $$q$$ respectively such that $${p^2} = q$$ , then $$a$$ equals
A
$${1 \over 2}$$
B
$$3$$
C
$$1$$
D
$$2$$
JEE Main Subjects
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSAT
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN