Answers created by Raj

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• Find the equation of the line which is parallel to the line `3x+4y=1` and passes through the midpoint of the line segment joining `(1,2)` and `(-2,1)`. Find the distance of this line from the given line.?
  
• Show that the plane `2x-4y-z+9=0` touches the sphere which passes through `(1,1,6)` and whose centre is `(2,-3,4)`. Also, find the point of contact.?
  
• How do you solve the system of equations `4x + y = 15` and `9x + 3y = 30`?
  
• A enjoyed two types of games, `type A` and `type B`, at the game studio. Each time he played `type A`, it cost `Rs. 3` and each time she played `type B`, it cost `Rs. 4`. If the number of `type B` games played was the half of the number of `type A`..?
  
• Prove that `cosx >= 1-x^2/2 AA x in RR` ?
  
• Evalute `lim_(x->oo) [sqrt(x^2+x+2) - sqrt(x^2-3x-5)]`?
  
• Find `a, b` so that the system `x+y+z=6`, `x+2y+3z=10`, `x+2y+az=b` has an unique solution?
  
• Find the maximum and minimum values for the function `f` defined by `f(x) = 2sinx + cos2x` in the interval `[0, pi/2]`?
  
• Find the domain of the function `f` defined by `f(x) = 1/sqrt(5x-x^2-6)`?
  
• Question #3fd9f
  
• How to find solution set in `RR^3` of `x-pi=5`?
  
• Give a real life situation problem which is mathematically translated into `2x+y+2z=18`?