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548
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Which green coloured compound of chromium is formed in borax bead test ?
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Related Questions
Match the anionic species given in column I that are present in the ore(s) given in column II.
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
A box
$B_{1}$
, contains 1 white ball, 3 red balls and 2 black balls. Another box
$B_{2}$
, contains 2 white balls, 3 red balls and 4 black balls. A third box
$B_{3}$
, contains 3 white balls, 4 red balls and 5 black balls.
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)
$xy=4$
If a chord, which is not a tangent of the parabola
$y_{2}=16x$
has the equation
$2x+y=p,$
and midpoint
$(h,k),$
then which of the following is(are) possible values (s) of
$p,handk?$
$p=−1,h=1,k=−3$
$p=2,h=3,k=−4$
$p=−2,h=2,k=−4$
$p=5,h=4,k=−3$
Which of the following values of
$α$
satisfying the equation
$∣∣∣∣ (1+α)_{2}(1+2α)_{2}(1+3α)_{2}(2+α)_{2}(2+2α)_{2}(2+3α)_{2}(3+α)_{2}(3+2α)_{2}(3+3α)_{2}∣∣∣∣ =−648α?$
$−4$
b.
$9$
c.
$−9$
d.
$4$
Let
$a,b,c$
be three non-zero real numbers such that the equation
$3 acosx+2bsinx=c,x∈[−2π ,2π ]$
, has two distinct real roots
$α$
and
$β$
with
$α+β=3π $
. Then, the value of
$ab $
is _______.
Let
$f:(0,∞)→R$
be a differentiable function such that
$f_{′}(x)=2−xf(x) $
for all
$x∈(0,∞)$
and
$f(1)=1$
, then
Related Questions
Match the anionic species given in column I that are present in the ore(s) given in column II.
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
A box
$B_{1}$
, contains 1 white ball, 3 red balls and 2 black balls. Another box
$B_{2}$
, contains 2 white balls, 3 red balls and 4 black balls. A third box
$B_{3}$
, contains 3 white balls, 4 red balls and 5 black balls.
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)
$xy=4$
If a chord, which is not a tangent of the parabola
$y_{2}=16x$
has the equation
$2x+y=p,$
and midpoint
$(h,k),$
then which of the following is(are) possible values (s) of
$p,handk?$
$p=−1,h=1,k=−3$
$p=2,h=3,k=−4$
$p=−2,h=2,k=−4$
$p=5,h=4,k=−3$
Which of the following values of
$α$
satisfying the equation
$∣∣∣∣ (1+α)_{2}(1+2α)_{2}(1+3α)_{2}(2+α)_{2}(2+2α)_{2}(2+3α)_{2}(3+α)_{2}(3+2α)_{2}(3+3α)_{2}∣∣∣∣ =−648α?$
$−4$
b.
$9$
c.
$−9$
d.
$4$
Let
$a,b,c$
be three non-zero real numbers such that the equation
$3 acosx+2bsinx=c,x∈[−2π ,2π ]$
, has two distinct real roots
$α$
and
$β$
with
$α+β=3π $
. Then, the value of
$ab $
is _______.
Let
$f:(0,∞)→R$
be a differentiable function such that
$f_{′}(x)=2−xf(x) $
for all
$x∈(0,∞)$
and
$f(1)=1$
, then
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