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#?