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AIEEE Latest Exam Pattern - AIEEE Sample Question with Solutions Page 16

(#M40027591) AIEEE QUESTION Mental Ability Keep an EYE

The values of x between 0 and 2π which satisfy
the equation sinx 8cos x2 = 1 are in A.P. The
common difference of A.P. is -

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(#M40027590) AIEEE QUESTION Mental Ability Keep an EYE

If x = α, β satisfies both the equation
cos^2
x + a cosx + b = 0 and sin^2
x + p sinx + q = 0
then the relation between a, b, p and q is

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(#M40027589) AIEEE QUESTION Mental Ability Keep an EYE

If A and B are acute positive angles satisfying
the equation 3 sin2 A + 2 sin2 B = 1 and
3 sin 2A – 2 sin 2B = 0 then A + 2B is equal to

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(#M40027588) AIEEE QUESTION Mental Ability Keep an EYE

The equation of the circle of radius sqrt(2) whose
centre lies on the line x – y = 0 and which
touches the line x + y = 4 and whose centre's
coordinates satisfy the inequality x + y > 4 is -
(A) x2
+ y2
– 8x – 8y + 24 = 0
(B) x2
+ y2
= 8
(C) x2
+ y2
– 8x + 8y = 24
(D) none of these

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(#M40027587) AIEEE QUESTION Mental Ability Keep an EYE

On the portion of the straight line x + y = 3 which
is intercepted between the axes, a square is
constructed, away from the origin, with this
portion as one of its side. If p denotes the
perpendicular distance of a side of this square
from the origin, then the maximum value of p
is

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(#M40027586) AIEEE QUESTION Mental Ability Keep an EYE

Which of the following molecules does not
exist?
(A) NF3 (B) NF5
(C) PF5 (D) N2H4

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(#M40027585) AIEEE QUESTION Mental Ability Keep an EYE

What is the hybrid state of nitrogen in N2
molecule?
(A) sp3 (B) sp
(C) sp2 (D) No specific state.

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(#M40027584) AIEEE QUESTION Mental Ability Keep an EYE

In which of the following molecules N-atom
adopts sp-hybrid state-
(A) CH3NH2 (B) NH2 – NH2
(C) HCN (D) NH3

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(#M40027583) AIEEE QUESTION Mental Ability Keep an EYE

One mole of a perfect gas expands isothermally
to ten times its original volume. The change in
entropy is -
(A) 0.1 R (B) 2.303 R
(C) 10.0 R (D) 100.0 R

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(#M40027582) AIEEE QUESTION Mental Ability Keep an EYE

For A → B,
∆H = 4 kcal mol–1, ∆S = 10 cal mol–1 K–1,
Reaction is spontaneous when temperature is _
(A) 400 K (B) 300 K
(C) 500 K (D) none of these

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