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Identify the option where all four molecules posses permanent dipole moment at room temperature
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Related Questions
A farmer
$F_{1}$
has a land in the shape of a triangle with vertices at
$P(0,0),Q(1,1)$
and
$R(2,0)$
. From this land, a neighbouring farmer
$F_{2}$
takes away the region which lies between the side
$PQ$
and a curve of the form
$y=x_{n}(n>1)$
. If the area of the region taken away by the farmer
$F_{2}$
is exactly 30% of the area of
$PQR$
, then the value of
$n$
is _______.
Let
$y(x)$
be a solution of the differential equation
$(1+e_{x})y_{prime}+ye_{x}=1.$
If
$y(0)=2$
, then which of the following statements is (are) true? (a)
$y(−4)=0$
(b)
$y(−2)=0$
(c)
$y(x)$
has a critical point in the interval
$(−1,0)$
(d)
$y(x)$
has no critical point in the interval
$(−1,0)$
The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?
Let
$z_{k}=cos(2k10π )+isin(2k10π );k=1,2,34,…,9$
(A) For each
$z_{k}$
there exists a
$z_{j}$
such that
$z_{k}.z_{j}=1$
(ii) there exists a
$k∈{1,2,3,…,9}$
such that
$z_{1}z=z_{k}$
Let
$F(x)=∫_{x}[2cos_{2}t.dt]$
for all
$x∈R$
and
$f:[0,21 ]→[0,∞)$
be a continuous function.For
$a∈[0,21 ]$
, if F'(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is
If
$α=∫_{0}(e_{9}x+3tan_{(−1)x})(1+x_{2}12+9x_{2} )dxwherηn_{−1}$
takes only principal values, then the value of
$((g)_{e}∣1+α∣−43π )is$
Let
$f:RR$
be a differentiable function such that
$f(0),f(2π )=3andf_{prime}(0)=1.$
If
$g(x)=∫_{x}[f_{prime}(t)cosect−cottcosectf(t)]dtforx(0,2π ],$
then
$(lim)_{x0}g(x)=$
PARAGRAPH
$X$
Let
$S$
be the circle in the
$xy$
-plane defined by the equation
$x_{2}+y_{2}=4.$
(For Ques. No 15 and 16)Let
$E_{1}E_{2}$
and
$F_{1}F_{2}$
be the chords of
$S$
passing through the point
$P_{0}(1,1)$
and parallel to the x-axis and the y-axis, respectively. Let
$G_{1}G_{2}$
be the chord of
$S$
passing through
$P_{0}$
and having slope
$−1$
. Let the tangents to
$S$
at
$E_{1}$
and
$E_{2}$
meet at
$E_{3}$
, the tangents to
$S$
at
$F_{1}$
and
$F_{2}$
meet at
$F_{3}$
, and the tangents to
$S$
at
$G_{1}$
and
$G_{2}$
meet at
$G_{3}$
. Then, the points
$E_{3},F_{3}$
and
$G_{3}$
lie on the curve
$x+y=4$
(b)
$(x−4)_{2}+(y−4)_{2}=16$
(c)
$(x−4)(y−4)=4$
(d)
$xy=4$
Related Questions
A farmer
$F_{1}$
has a land in the shape of a triangle with vertices at
$P(0,0),Q(1,1)$
and
$R(2,0)$
. From this land, a neighbouring farmer
$F_{2}$
takes away the region which lies between the side
$PQ$
and a curve of the form
$y=x_{n}(n>1)$
. If the area of the region taken away by the farmer
$F_{2}$
is exactly 30% of the area of
$PQR$
, then the value of
$n$
is _______.
Let
$y(x)$
be a solution of the differential equation
$(1+e_{x})y_{prime}+ye_{x}=1.$
If
$y(0)=2$
, then which of the following statements is (are) true? (a)
$y(−4)=0$
(b)
$y(−2)=0$
(c)
$y(x)$
has a critical point in the interval
$(−1,0)$
(d)
$y(x)$
has no critical point in the interval
$(−1,0)$
The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?
Let
$z_{k}=cos(2k10π )+isin(2k10π );k=1,2,34,…,9$
(A) For each
$z_{k}$
there exists a
$z_{j}$
such that
$z_{k}.z_{j}=1$
(ii) there exists a
$k∈{1,2,3,…,9}$
such that
$z_{1}z=z_{k}$
Let
$F(x)=∫_{x}[2cos_{2}t.dt]$
for all
$x∈R$
and
$f:[0,21 ]→[0,∞)$
be a continuous function.For
$a∈[0,21 ]$
, if F'(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is
If
$α=∫_{0}(e_{9}x+3tan_{(−1)x})(1+x_{2}12+9x_{2} )dxwherηn_{−1}$
takes only principal values, then the value of
$((g)_{e}∣1+α∣−43π )is$
Let
$f:RR$
be a differentiable function such that
$f(0),f(2π )=3andf_{prime}(0)=1.$
If
$g(x)=∫_{x}[f_{prime}(t)cosect−cottcosectf(t)]dtforx(0,2π ],$
then
$(lim)_{x0}g(x)=$
PARAGRAPH
$X$
Let
$S$
be the circle in the
$xy$
-plane defined by the equation
$x_{2}+y_{2}=4.$
(For Ques. No 15 and 16)Let
$E_{1}E_{2}$
and
$F_{1}F_{2}$
be the chords of
$S$
passing through the point
$P_{0}(1,1)$
and parallel to the x-axis and the y-axis, respectively. Let
$G_{1}G_{2}$
be the chord of
$S$
passing through
$P_{0}$
and having slope
$−1$
. Let the tangents to
$S$
at
$E_{1}$
and
$E_{2}$
meet at
$E_{3}$
, the tangents to
$S$
at
$F_{1}$
and
$F_{2}$
meet at
$F_{3}$
, and the tangents to
$S$
at
$G_{1}$
and
$G_{2}$
meet at
$G_{3}$
. Then, the points
$E_{3},F_{3}$
and
$G_{3}$
lie on the curve
$x+y=4$
(b)
$(x−4)_{2}+(y−4)_{2}=16$
(c)
$(x−4)(y−4)=4$
(d)
$xy=4$
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