Questions asked by divya g.

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• What does the graph of x^2 - y^2 = 2 look like?
  
• What is the limit of (a^x)/x as x approaches 0? Can this limit be calculated using LH Rule?
  
• How many roots does the following quadratic function of t have: f(t) = a + bt + ct^2 if it is known that f(t) >=0 for all values of t ?
  
• What will be the limit of the following sequence as n tends to infinity? Will the sequence converge or diverge?
  
• Can we apply L'Hopital's Rule while computing the following limit?
  
• How to calculate the speed of the slower horse in the following question?
  
• Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes ?
  
• What are the number of different words beginning and ending with a consonant, which can made out of the word "EQUATION" ? (Using the concept of Permutations-Combinations)
  
• For which pairs of numbers (x.y) is the function given below defined?
  
• How to find the formula for the inverse of the following function?
  
• How to find the formula for the inverse of f(x) given below?
  
• What is the smallest integer which when divided by 3, 5, 7 & 11 leaves remainders of 2, 4, 6 & 1 respectively?
  
• If there are two square matrices A & B of order nxn, and it is given that AB=I(n) where I is the identity matrix of nth order (n rows and n columns), does BA=I hold as well?
  
• What is the probability of winning in the following infinitely repeated game?
  
• If X is a random variable such that E#(X^2)# = E(X) = 1, then what is E#(X^100)# ?
  
• Suppose A & B are square matrices that satisfy AB+BA=0, where 0 is the square matrix of 0's. Then which of the following holds?
  
• What would be the point where the line given in the question below intersects the XY plane?
  
• A stone is thrown into a circular pond of radius 1 meter. Suppose the stone falls uniformly at random on the area of the pond. What will be the expected distance of the stone from the center of the pond?
  
• What does #int(xdx)/(2x^4 - 3x^2-2# equal to?
  
• How to find the coefficient of #x^50# in the expansion of the following?