Question

(
4)
B) Solve the following subquestions.
i) For an A.P. if a = 10, d = 5. Find tz.
ii) Two coins are tossed simultanesously. Write sample space 'S' and number of
sample points n(s).
iii) Find the value of x in the equation 2x + y = 7, if y = 3.
iv) Find the values of a, b and c from the quadratic equation x2 – 3 = x.​

Answer 1

Answer:

$(i) \: \: \: a = 10 \: \: ; \: \: d = 5 \\ \: \: \: \: T_{n} = a + (n - 1)d \\ \: \: \: \: T_{n} = 10 + (n - 1)5 \\ \: \: \: \: T_{n} = 10 + 5n - 5 \\ T_{n} = 5n + 5 \\ T_{n} = \underline{ \underline{ 5(n + 1)}} \\ \\ (iii) \: \: \: y = 3 \\ \: \: \: \: 2x + y = 7 \\ \: \: \: \: 2x + 3 = 7 \\ \: \: \: \: 2x = 7 - 3 \\ \: \: \: \: 2x = 4 \\ \: \: \: \: x = \frac{4}{2} \\ \: \: \: \: x = \underline{ \underline{ 2}} \\ \\ (iv) \: \: \: {x}^{2} - 3 = x \\ \: \: \: \: {x}^{2} - x - 3 = 0 \\ \: \: \: \: Here, \\ \: \: \: \: a = 1 \\ \: \: \: \: b = - 1 \\ \: \: \: \: c = - 3$