Perfect solution to all problems Tips, Tricks, General Knowledge, Current Affairs, Latest Sample, Previous Year, Practice Papers with solutions. CBSE 12th Mathematics 2014 Unsolved Paper Delhi Board Buy Solution: http://www.4ono.com/cbse-12th-maths-previous-year-solved-papers/ Note This pdf file is downloaded from www.4ono.com. Editing the content or publicizing this on any blog or website without the written permission of Rewire Media is punishable, the suffering will be decided under DMC
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Perfect solution to all problems
Tips, Tricks, General Knowledge, Current Affairs, Latest Sample, Previous Year, Practice Papers with solutions.
Vectors �⃗⃗� , �⃗⃗� and �⃗� are such that �⃗⃗� + �⃗⃗� + �⃗� = �⃗⃗� and |�⃗⃗� | = 𝟑, |�⃗⃗� | = 𝟓 and |�⃗� | = 𝟕
find the angle between �⃗⃗� 𝒂𝒏𝒅 �⃗⃗� .
Q.21. Show that the lines: 4 marks
𝒙 + 𝟏
𝟑=
𝒚 + 𝟑
𝟓=
𝒛 + 𝟓
𝟕𝒂𝒏𝒅
𝒙 − 𝟐
𝟏=
𝒚 − 𝟒
𝟑=
𝒛 − 𝟔
𝟓
Intersect. Also, find their point of intersection.
Q.22. Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls? Given that 4 marks
(i) the youngest is a girl.
(ii) at least one is a girl.
SECTION – C
Question number 11 to 22 carry 4 marks each:
Q.23. Two school’s P and Q want to award their selected students on the values of discipline, politeness and punctuality. The school P wants to award Rs y each and Rs z each for the three respective values to its 3, 2 and 1 students with total award money of Rs 1,000. School Q wants to spend Rs 1,500 to award its 4, 1 and 3 students on the respective values (by giving the same award money for the three values as
Q.28. A dealer in rural area wishes to purchase a number of sewing machine. He has only Rs5,760 to invest and has space for at most 20 items for strong. An electronic sewing machine cost him Rs360 and a manually operated sewing machine Rs240. He can sell an electronic sewing machine at a profit of Rs22 and a manually operated sewing machine at a profit of Rs18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit? Make it as a LPP and solve it graphically. 6 marks
Q. 29. A card from a pack of 52 playing cards is lost. From the remaining cards of the pack, three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade. 6 marks
OR
From a lot of 15 bulbs which include 5 defectives, a sample of 4 bulbs is drawn one by one with replacement. Find the probability distribution of number of defective bulbs. Hence find the mean of the distribution.