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## #201 2009-02-17 00:24:27

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### Re: 5 Star Questions

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

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## #202 2009-02-17 01:20:21

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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
?

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## #203 2009-02-17 01:22:48

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#172. If

, what is the value of
?

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## #204 2009-02-17 15:49:37

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#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)?

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## #205 2009-02-18 01:53:34

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#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
?

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## #206 2009-02-18 02:34:10

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#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
?

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## #207 2009-02-19 00:30:51

JaneFairfax
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Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

## #208 2009-02-19 01:43:26

ganesh
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### 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
?

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## #209 2009-02-19 06:44:21

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Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

## #210 2009-02-19 15:45:24

ganesh
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### 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
?

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## #211 2009-02-20 02:03:20

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#189. What is the value of Z if

?

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## #212 2009-02-22 00:10:30

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#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

?

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## #213 2009-02-24 00:06:18

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#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?

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## #214 2009-02-24 15:51:20

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#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
?

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## #215 2009-02-24 15:55:12

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#200. What is the value of

if
?

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## #216 2009-02-26 02:44:33

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

?

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

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## #217 2009-02-28 01:13:08

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#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
?

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## #218 2009-03-03 02:23:03

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#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:
.

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## #219 2009-03-05 04:46:19

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### Re: 5 Star Questions

Last edited by JaneFairfax (2009-03-05 06:53:59)

Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

## #220 2009-03-06 00:42:17

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Answer to #209:-
Correct, JaneFairfax!

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## #221 2009-03-06 01:07:52

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

#212. If a1, a2, a3, .... are in Arithmetic Progression and a1, a2, a3, .... are all positive, find the value of
?

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## #222 2009-03-06 02:13:42

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#213. The pth term of an Arithmetic progression is

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

#214. Solve for n if nC4, nC5, nC6 are in Arithmetic Progression.

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## #223 2009-03-06 16:56:33

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#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.

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## #224 2009-03-07 01:24:37

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#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
?

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## #225 2009-03-08 02:31:22

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#222. What is the square root of

?

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