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#176 2009-02-04 04:34:58

JaneFairfax
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Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#177 2009-02-04 16:52:53

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answers to #133, and #134:-
Both correct, JaneFairfax!
wd4445.gif

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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#178 2009-02-06 02:56:11

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#137. What is the value of

?

#138. 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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#179 2009-02-06 03:00:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#139. What is the least value of

?

#140. What is the greatest value of

?

#141. What is the least 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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#180 2009-02-06 04:08:42

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#181 2009-02-06 16:57:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answers to #137, #138, and #139:-
All correct, JaneFairfax!!!
e5.jpg

#142. If

, what is the value of
?

#143. Find the value of

if
.

#144. Find N if q - p = 4,

.

#145. If

,
find 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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#182 2009-02-08 00:03:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#146. Find the value of 'a' such that the lines


and
are concurrent.

#147. For all values of

, the straight line

passes through a fixed point. Find the co-ordinates of the fixed point.

#148. Find the ratio in which the line 3x - 2y + 5 = 0 divides the line joining the points (6, -7) and (-2, 3).

#149. Prove that the lines

,
, and
are concurrent.

#150. Find the equation of the straight line, the portion of which between the axes is divided by the point (4, 3) in the ratio 2:3.

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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#183 2009-02-13 03:44:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#151. What is the number of real solutions of

?

#152. How many 3 digit numbers, each less than 600, can be formed using the digits {1,2,3,4,7,9}, if repetition of digits is not allowed?

#153. What is y equal to (in terms of x) if |y| < 2 and

?

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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#184 2009-02-13 04:08:50

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#154. What is the Arithmetic Mean 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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#185 2009-02-13 12:40:40

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#186 2009-02-14 01:15:07

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answers to #149, #151, #152, #153, and #154:-
All the answers arew correct, JaneFairfax!
brlnt111.gif

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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#187 2009-02-14 03:08:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#155. What is the value of

?

#156. What is the value of

?

#157. The complex numbers

are the vertices of a triangle satisfying the equation
.
What can be said about the triangle?

#158. The sum of the first four terms of an  Arithmetic Progression is 56 and the sum of the last four terms is 112. If the first term of the Arithmetic Progression is 11, how many terms are there in the Arithmetic Progression?

#159.

are in
(1) Arithmetic progression
(2) Geometric Progression
(3) Harmonic Progression
(4) None of these

#160. If a, b, c are in Geometric Progression, then

are in
(1) Arithmetic progression
(2) Geometric Progression
(3) Harmonic Progression
(4) None of these

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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#188 2009-02-14 05:17:13

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#189 2009-02-14 18:32:12

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answers to #155, and #156:-
Both correct, JaneFairfax!
grtjb9.jpg

#157. What is the value of

if
?

#158. What is th value of a:b if f(3+2i) = a + ib and

?

#159. 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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#190 2009-02-14 19:19:36

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#160. What is the quadratic equation whose roots are the reciprocal of the roots of the equation

?

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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#191 2009-02-14 22:16:59

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#161. If n is a natural number, what is the last digit of

?

#162. If

is the
term in the expansion of
, 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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#192 2009-02-14 22:19:05

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#163. 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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#193 2009-02-15 00:43:46

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#194 2009-02-15 01:13:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answer to #163:-
You're perfectly right, JaneFairfax!
congrats805.jpg

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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#195 2009-02-15 01:29:21

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#196 2009-02-15 03:59:19

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answer to #160:
Absolutely right, JaneFairfax!
wd4450.gif

#164. What is the value of

?

#165. If x is a positive integer such that 2x+12 is perfectly divisible by x, what is the maximum number of possible values of 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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#197 2009-02-15 05:39:59

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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#198 2009-02-15 18:06:01

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

Answer to #164:-
Perfectly right, JaneFairfax!


wd3003.jpg

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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#199 2009-02-15 19:05:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,422

Re: 5 Star Questions

#166. What is the remainder obtained when

?

#167. What is the remainder obtained when

?

#168. What is the remainder obtained when

?

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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#200 2009-02-15 22:18:17

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: 5 Star Questions

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