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ISC XII Math
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Three numbers are given whose sum is $180$ and the ratio between first two of them is $1: 2$.If the product of the number is greatest,find the numbers.
isc
class12
modelpaper
2003
part-2
sec-a
q6
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Apr 22, 2013
by
sreemathi.v
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votes
0
answers
Find the volume of the parallelopiped whose three co-terminus edges are represented by the vectors $\hat{i}+\hat{j}+\hat{k},\hat{i}-\hat{j}+\hat{k}$ and $\hat{i}+2\hat{j}-\hat{k}$
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-b
q8
q8-b
0
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Find the equation of the ellipse whose foci are at $(-2,4)$ and $(4,4)$ and whose major and minor axes are 10 and 8 respectively.Also find the eccentricity of the ellipse.
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-a
q4
q4-b
+1
vote
1
answer
A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-c
q13
q13-b
0
votes
0
answers
Using binomial expansion,calculate the value of $(98)^{\large\frac{1}{2}}$ correct to three places of decimal.
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-a
q2
q2-b
0
votes
0
answers
A sphere $x^2+y^2+z^2-3ax-3by-3cz=0$ has a constant radius $3r$.It cuts the axes at the point A,B and C.Show that the centroid of the triangle ABC lies on the sphere $x^2+y^2+z^2=4r^2$
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-a
q5
q5-b
0
votes
0
answers
If pairs of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair,prove that $pq=-1$.
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-a
q4
q4-a
0
votes
0
answers
Show that the area included between the $x$-axis and the curve $a^2y=x^2(x+a)$ is $\large\frac{a^2}{12}$.
asked
Apr 22, 2013
by
sreemathi.v
isc
class12
modelpaper
2003
part-2
sec-a
q7
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