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#151 2009-03-27 20:04:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

A cylindrical jar of 15 cm diameter contains some liquid to a heaight of 6 cm.The liquid is filled in conical bottles of radius 1.25 cm and height 6 cm. Find the number of bottles that can be filled completely with the liquid in the jar.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#152 2009-03-28 05:58:41

Jai Ganesh
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Registered: 2005-06-28
Posts: 45,956

Re: Exercise

For what values of k does the quadratic equation


has equal roots?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#153 2009-03-28 07:31:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

If a and b are the roots of the equation

,
what is the value of
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#154 2009-03-28 07:52:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

If m and n be the roots of the quadratic equation

,
what is the value of
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#155 2009-03-28 19:50:13

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#156 2009-03-28 20:02:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What are the extremum values of cos x?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#157 2009-03-28 20:07:04

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#158 2009-03-28 20:22:28

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of


if
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#159 2009-03-28 20:37:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

Given

,
what is the value of
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#160 2009-03-29 06:12:21

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

Find the value of sin 75°.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#161 2009-03-29 06:38:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

Find the equation of the line passing through the point of intersection of the lines 2x + y - 3 = 0 and 5x + y - 6 = 0 and perpendicular to the line joining the points (1,2) and (2,1).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#162 2009-03-29 07:09:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

Find the value of a such that the lines 3x + y = 2, 5x + 2y = 3, and ax - y = 3 are concurrent.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#163 2009-03-29 07:50:18

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

Find the centroid of the triangle whose equations of the sides are 4x - y - 19 = 0, x - y - 4 = 0, and x + 2y + 11 = 0.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#164 2009-03-29 17:11:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#165 2009-03-29 20:49:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#166 2009-03-30 06:27:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

X is 36 years old and Y is 16 years old. In how many years would X be twice as old as Y?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#167 2009-03-30 06:34:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

A is 2 years older than B who is twice as old as C. If the total of the ages of A, B, C be 27 years, how old is B?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#168 2009-03-30 06:43:44

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#169 2009-03-30 06:54:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

What is the value of

if
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#170 2009-03-30 07:17:23

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

If

,
then what is the value of
?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#171 2009-03-31 05:38:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

The ratio of the sum of the first three terms of a Geometric Progression to the sum of the first six terms if 125 : 152. Find the common ratio of the Geometric Progression.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#172 2009-03-31 06:12:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

The sum of the first two terms of a Gemoetric progression is 36 and the product of the first and third terms is 9 times the second term. Find the sum of the first 8 terms.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#173 2009-03-31 07:17:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

Sum the series to infinity:

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#174 2009-04-02 16:30:54

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

A coin is tossed three times. Find the chance that head and tail show alternately.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#175 2009-04-02 16:45:40

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,956

Re: Exercise

In a single throw of two dice, find the probability off getting a total of 3 or 5.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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