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#201 2009-02-16 01:24:27

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

Thats interesting to note; although its simple arithmetc!
Thanks JaneFairfax!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#202 2009-02-16 02:20:21

ganesh
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Re: 5 Star Questions

#169. What is the value of k if the following equation has equal roots?

#170. What is the value of

if
?

#171. What is the value of

if
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#203 2009-02-16 02:22:48

ganesh
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Posts: 23,196

Re: 5 Star Questions

#172. If

, what is the value of
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#204 2009-02-16 16:49:37

ganesh
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Re: 5 Star Questions

#173. What is the solution of the differential equation
(x+y)(dx -dy) = dx + dy?

#174. If p be the length of the perpendicular from the origin to the striaght line x + 2by = 2p, then what is the value of b?

#175. If A, B, and C are the angles of a triangle such that tan A = 1, tan B = 2, then what is the value of tan C?

#176. What is the angle between the lines Ax + By = A + B and
A(x-y) + B(x+y) = 2B?

#177. In what ratio does the line y - x + 2 = 0 cut the line joining the points (3,-1) and (8,9)?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#205 2009-02-17 02:53:34

ganesh
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Re: 5 Star Questions

#178. What is the value of

?

#179. What is the middle term in the expansion of

?

#180. If p and q are the roots of the equation ax² + bx + c = 0, then what is the value of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#206 2009-02-17 03:34:10

ganesh
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Posts: 23,196

Re: 5 Star Questions

#181. What is the value of sin(A+B)sin(A-B) + sin(B+C)sin(B-C) + sin(C+A)sin(C-A)?

#182. Given

,
what is the value of
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#207 2009-02-18 01:30:51

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

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#208 2009-02-18 02:43:26

ganesh
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Posts: 23,196

Re: 5 Star Questions

Answers to #181, and #182:
Both correct, JaneFairfax!!!

#183. What is the value of

?

#184. What should be the value of k so that the system of linear equations

does not have a unique solution?

#185. What is the value of x if

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#209 2009-02-18 07:44:21

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

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#210 2009-02-18 16:45:24

ganesh
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Posts: 23,196

Re: 5 Star Questions

Answer to #175:-
Correct, JaneFairfax!

#186. What is the value of

,
if x>0?

#187. What is the value of

?

#188. What is the value of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#211 2009-02-19 03:03:20

ganesh
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Posts: 23,196

Re: 5 Star Questions

#189. What is the value of Z if

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#212 2009-02-21 01:10:30

ganesh
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Posts: 23,196

Re: 5 Star Questions

#190. The lower 24 meters portion of a 50 meters tower is painted green and the remaining portion is painted red. What is the distance of a point on the ground from the base of the tower where the two different portions of the tower subtend equal angles?

#191. What is the value of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#213 2009-02-23 01:06:18

ganesh
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Posts: 23,196

Re: 5 Star Questions

#192. In a triangle ABC, if cosA = cosB cosC,
what is the value of tanA - tanB - tanC?

#193. What is the angle between the two straight lines

?

#194. If x = cos t, y = sin t, then what is

equal to?

#195. If

,
what is
equal to?

#196. Given the sphere

and the two points
A(1, -1, 2) and B(2,-3,4), where do the points A and B lie with respect to the sphere?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#214 2009-02-23 16:51:20

ganesh
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Posts: 23,196

Re: 5 Star Questions

#197. What is the eccentricity of the ellipse whose length of minor axis is equal to the distance between the two foci?

#198. If the tangent to the curve

at its point
is also normal to the curve at
, then what is the value of mM?

#199. What is the value of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#215 2009-02-23 16:55:12

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#200. What is the value of

if
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#216 2009-02-25 03:44:33

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#201. How many solutions does the following equation have?

?

#202. What is the value of 1 + abc if

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#217 2009-02-27 02:13:08

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#203. What is the coefficient of

in the expansion of
?

#204. What are the possible values of a and n if

#205. What is the sum of the coefficients of the odd powers of x in

?

#206. What is the relation between w, x, y, and z if

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#218 2009-03-02 03:23:03

ganesh
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Posts: 23,196

Re: 5 Star Questions

#207. If three consecutive terms of an Arithmetic Progression and Geometric Progression are a, b, and c, find the value of

.

#208. If the sum of the first 2n terms of an Arithmetic Progression is equal to the sum of the next n terms, find the sum of the first n+2 terms given that the first term is a.

#209. Find the sum to n terms of the series

.

#210.Find the sum of the given series upto n terms:

.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#219 2009-03-04 05:46:19

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

Re: 5 Star Questions

Last edited by JaneFairfax (2009-03-04 07:53:59)

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#220 2009-03-05 01:42:17

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

Answer to #209:-
Correct, JaneFairfax!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#221 2009-03-05 02:07:52

ganesh
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Posts: 23,196

Re: 5 Star Questions

#211. Find the sum of the following series to n terms:-

#212. If a[sub]1[/sub], a[sub]2[/sub], a[sub]3[/sub], .... are in Arithmetic Progression and a[sub]1[/sub], a[sub]2[/sub], a[sub]3[/sub], .... are all positive, find the value of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#222 2009-03-05 03:13:42

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#213. The p[sup]th[/sup] term of an Arithmetic progression is

. Find the sum to n terms of the Arithmetic Progression.

#214. Solve for n if nC[sub]4[/sub], nC[sub]5[/sub], nC[sub]6[/sub] are in Arithmetic Progression.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#223 2009-03-05 17:56:33

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#215. Find the common area enclosed by the two parabolas 4y² = 9x and 3x² = 16y.

#216. Find the area of the largest rectangle that can be inscribed in a semi-circle of radius r.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#224 2009-03-06 02:24:37

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#217. What is the value of

?

#218. What is the value of

?

#219. If a, b, c, and d are real and

, then what is the value of
?

#220. If one of the roots of the equation

is square of the other, then what is
equal to?

#221. Let

denote the number of triangles which can be formed using the vertices of a regular polygon of n sides. What is the value of n is
?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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#225 2009-03-07 03:31:22

ganesh
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Registered: 2005-06-28
Posts: 23,196

Re: 5 Star Questions

#222. What is the square root of

?

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

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

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