IIT-JEE Exam

An equation of a plane parallel to the plane x - 2y + 2z - 5 = 0 and at a unit distance from the origin is

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IIT-JEE Other Question
A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then k  20 equal to,
option
a) 5
b) 4
c) 3
d) 2
 A client is celebrating his 50th b-day and wants to start saving for his anticipated retirement at age 65. he wants to be able to withdraw $20,000 from his saving account on his 66th b-day and each year for 19 more years after that.

After extensive research, the client determines that he can invest his money in an account that offers 5% interest per year with quarterly compounding. he wants to make equal annual payments on each b-day into the account - the first payment on his 51st b-day and his last on his 65th b-day.

In addition, the clients employer will contribute $2000 to the account each year (beginning on the clients 51st b-day) as part of the companies profit-sharing plan (a total of 15 contributions.)

The amount the client must deposit personally into the account each year on his b-day to enable him to make the desired wds at the retirement is closest to:

A. 9375

B. 9459

C. 11400