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Frequently Asked AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 13

(#M40027553) AIEEE QUESTION Mental Ability Keep an EYE

A uniform rod AB of mass 'm' and length l is at
rest on a smooth horizontal surface. An impulse J
is applied to the end B perpendicular to the rod
in horizontal direction. Speed of the point A of
the rod after giving impulse is -

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(#M40021823) AIEEE QUESTION geometry Keep an EYE

The area enclosed between the curve y = loge (x + e) and the coordinate axes is?

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(#M40021813) AIEEE QUESTION straight line Keep an EYE

Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of mid point of
PQ is

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(#M40021817) AIEEE QUESTION algebra Keep an EYE

If roots of the equation x^2 - bx + c = 0 be two consecutive integers, then b^2 - 4c equals
option
a) -2
b) 3
c) 2
d) 1

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(#M40021905) AIEEE QUESTION PROBABILITY Keep an EYE

A binary operation is chosen at random from the set of all binary operations on a set A containing n elements. The probability that the binary operation is commutative is

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(#M40022172) AIEEE QUESTION TRIGONOMETRY Keep an EYE

Sin^2 4x + cos^2 x = 2sin4xcos^4 x

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(#M40027674) AIEEE QUESTION General Ability Keep an EYE

m-Chlorobenzaldehyde on reaction with conc.
KOH at room temperature gives –
(A) Potassium m-chlorobenzoate and
m-hydroxybenzaldehyde
(B) m-Hydroxybenzaldehyde and m-chlorobenzyl
alcohol
(C) m-Chlorobenzyl alcohol and m-hydroxybenzyl
alcohol
(D) Potassium m-chlorobenzoate and
m-chlorobenzyl alcohol

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(#M40027573) AIEEE QUESTION Mental Ability Keep an EYE

In Bohr series of lines of hydrogen spectrum, the
third line from the red end corresponds to which
one of the following inter-orbit jumps of the
electron for Bohr orbits in an atom of hydrogen?
(A) 5 → 2 (B) 4 → 1
(C) 2 → 5 (D) 3 → 2

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(#M40027678) AIEEE QUESTION General Ability Keep an EYE

The correct order of second ionisation energy of
Carbon, Nitrogen, Oxygen and Fluorine is –
(A) C > N > O > F (B) O > N > F > C
(C) O > F > N > C (D) F > O > N > C

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(#M40021840) AIEEE QUESTION pair of straight line Keep an EYE

If the pair of lines ax2 + 2(a + b)xy + by2 = 0 lie along diameters of a circle and divide
the circle into four sectors such that the area of one of the sectors is thrice the area
of another sector then find relation between a and b??

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