mishraanoopam

"It is with a kind of fear that I begin to write the history of my life". What are Keller's fears?

I remember, I remember

The roses red and white,

The violets and the lily cups--

Those flowers made of light!

The lilacs where the robin built,

And where my brother set

The laburnum on his birthday,--

The tree is living yet!

It should have following features

1) i7 core processor

2) HDD should be greater than 1 TB

3) 16 GB RAM

4) Touch with Windows 8

5) Screen should be greater than 17"

1) i7 core processor

2) 8/16 GB RAM

3) HDD > 1TB

4) Wi Fi

5) Bluetooth

6) USB 3.0 port

7) OS - Windows 8 with touch

8) Screen Size > 15"

9) an Ethernet port

10) Camera > 5 MP

There are four complex fourth roots to the number −16i. These can be expressed in polar form as z1=r1(cosθ1+isinθ1) , z2=r2(cosθ2+isinθ2), z3=r3(cosθ3+isinθ4) and z4=r4(cosθ4+isinθ4), where ri is a positive real number and 0∘≤θi<360∘. What is the value of θ1+θ2+θ3+θ4 (in degrees)?

A pentagon with area 40 has equal sides but not necessarily equal angles. The sum of the five perpendicular distances from a point inside the pentagon to the sides of the pentagon is 16. The side length of the pentagon

The function f from the real numbers to the real numbers satisfies f(x+y)= (1+yx+1)f(x)+(1+xy+1)f(y)+x2y+xy+xy2. If f(1)=4, what is the value of f(8)?

ABCD is a parallelogram with side lengths AB=494,BC=380 and diagonal AC=494. Let E be the foot of the perpendicular from A to BC, let F be the foot of the perpendicular from A to CD. What is the value of EF?

ABCD is a convex quadrilaterial such that AC=BD. AC and BD intersect at E and ∠AEB=68∘. F and G are the midpoints of AD and BC, respectively. FG intersects AC and BD at H and I, respectively. What is the measure (in degrees) of ∠EHI?

A queen on an English chessboard is able to attack in the same row, column and diagonal. The probability that 2 randomly placed queens on a 8 by 8 chessboard will be able to attack each other can be expressed as ab, where a and b are co-prime integers. What is a+b? Clarification: The 2 queens will not be placed on the same square.

A circle has diameter AD of length 400. B and C are points on the same arc of AD such that |AB|=|BC|=60. What is the length |CD|?

There are 20 people on the board of directors of a publicly listed company. Each pair of people are either friends or enemies with each other. Every person has exactly 6 enemies on the board. If every group of 3 directors form a committee, what is the total number of committees that are formed by all friends or all enemies?

On triangle ABC, points D and E are chosen on line segments AB and AC, respectively. The lines CD and BE intersect at K, within triangle ABC. If [DKB]=56,[BKC]=84 and [KEC]=90, what is [ADKE]?

Note: [PQRS] denotes the area of the figure PQRS.

There are 20 people on the board of directors of a publicly listed company. Each pair of people are either friends or enemies with each other. Every person has exactly 6 enemies on the board. If every group of 3 directors form a committee, what is the total number of committees that are formed by all friends or all enemies?

On triangle ABC, points D and E are chosen on line segments AB and AC, respectively. The lines CD and BE intersect at K, within triangle ABC. If [DKB]=56,[BKC]=84 and [KEC]=90, what is [ADKE]?

Note: [PQRS] denotes the area of the figure PQRS.