Find the angle between the lines whose slopes are 2

1 and 3

2. Find the distance of the point (4,1) from the line 3 4 x y - + 12 = 0

3. Show that the straight lines x y + - 4 0 = + ,3 2 x x = - 0 3 and 3 1 y + =6 0 are

concurrent.

4. Find the value of 'a' for which the straight lines 3 4 xy xy += -= 13;2 7 - 1 and

ax y - - 14 = 0 are concurrent.

5. A manufacturer produces 80 TV sets at a cost of `2,20,000 and 125 TV sets at a cost

of `2,87,500. Assuming the cost curve to be linear, find the linear expression of the

given information. Also estimate the cost of 95 TV sets.

X 0 P(x) select the correct answer below: The given distribution is not a probability distribution, since the sum of probabilities is not equal to I. O The given distribution is not a probability distribution, since at least one of the probabilities is greater than I or less than 0. The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and I. O The given distribution is a probability distribution, since the sum of probabilities is equal to 1,35. A continuous probability distribution that is useful in describing the time, or space, between occurrences of an event is a(n) a. Normal probability distribution. b. Uniform probability distribution. c. Exponential probability distribution. d. Poisson probability distribution.Determine whether or not the distribution is a probability distribution and select the reason(s) why or why not. X 0 2 3 P(x) A Select the correct answer below: The given distribution is not a probability distribution, since the sum of probabilities is not equal to 1. The given distribution is not a probability distribution, since at least one of the probabilities is greater than I or less than 0. The given distribution is a probability distribution, since the probabilities lie inclusively between u and 1