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harsha_27 (1348)

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DIFFERENTIAL EQUATIONS



Qn.5)solve [dy/dx][d3y/dx3]  = 3[d2y/dx2]2 .








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harsha_27 (1348)

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DIFF. EQNS.


Qn.6)SOLVE  y [1+x2] + x [1+y2] dy/dx =0







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Let ABCD be a square of side 2 units,a line M through A is drawn parallel to BD.Point S moves such that its distances from line BD and vertex A are equal.If locus of S cuts the line M at T2,Tand diagonal AC at T1 then area of T1T2T3 is K/12 find the value of K
 
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nudge me for the answer

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kasirajan.1990 (1084)

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the base of a triangle passes through a fixed point (f,g) and its sides are respectively bisected at right angles by the lines y^2 - 8xy - 9x^2 = 0. Determine the locus of its vertex.



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tarinbansal (3898)

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Alright guys, try this one. An easy question but the only question of this type till now in the whole QBANK.
 
Q.28- Find the area of the figure enclosed by the curves x2 + y2 = 16 and x2 + y2 - 8|x| - 8|y| + 16 = 0 for |y|  4, |x|  4.
 
Ans = 32 - 64
 
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P.S.-Start numbering ur questions as it will be helpful when we will start a thread for the solutions. Those who have alreasy posted their questions just edit the question and give it a question number.
 

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kasirajan.1990 (1084)

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the greatest value of the function f(x) = (sin2x)/(sin[x + pi/4])
on the interval [0,pi/2] is


(a) 1/sqrt2 (b) sqrt2 (c) 1 (d) -sqrt2



[ans = (c) ]

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Mr.IITIAN007 (2990)

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Permutations

On a credit card there are 4 groups of 4 numbers , how many permutations can you have ?

Ken
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siddhartha100 (56)

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Prove that if a number has odd number of factors then it is a perfect square.
 
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kasirajan.1990 (1084)

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The value of :
0
[x] 2x / 2[x]dx  .



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[Ans = [x]/log2 ]

kasirajan



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Mr.IITIAN007 (2990)

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In a two-child family, one child is a boy. What is the probability that the other child is a girl?
What if the older child is a boy? Does this information change the probability that the second child is a girl?

Ken
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Mr.IITIAN007 (2990)

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Tony has 11 more nickels than quarters. How many coins does he have if the total value of his coins is $2.65?

Ken
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Mr.IITIAN007 (2990)

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Suppose you flip a coin and bet that it will come up tails. Since you are equally likely to get heads or tails, the probability of tails is 50%. This means that if you try this bet often, you should win about half the time.

What if somebody offered to bet that at least two people in your math class had the same birthday? Would you take the bet?

This question is more complicated than flipping a coin, because the chance of finding two people with the same birthday depends on the number of people you ask. If there were only one other person in your math class, you might be surprised to find out that she had the same birthday as you. If there were a pair of people with the same birthday in a class of 366 people, would you still be surprised?
How large must a class be to make the probability of finding two people with the same birthday at least 50%?

The person who will solve this will personally earn my respect .

Ken
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Mr.IITIAN007 (2990)

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A camel  must travel 1000 miles across a desert to the nearest city. She has 3000 bananas but can only carry 1000 at a time. For every mile she walks, she needs to eat a banana. What is the maximum number of bananas she can transport to the  city?

Ken
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