Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\).
90720
1296
1120
672
Correct answer is A
\((x)^{n}(x^{-1})^{8 - n} = x^{0}\)
\(x^{n} . x^{-8 + n} = x^{0} \implies n - 8 + n = 0\)
\(2n - 8 = 0 \implies n = 4\)
Constant term = \(^{8}C_{4}(2^{4})(3^{4}) = 70 \times 16 \times 81\)
= \(90720\)
The total of the discount from creditors is transferred to
Credit side of discounts received account
Debit side of discounts received account
Credit side of discounts allowed account
Debit side of discounts allowed account
Correct answer is A
No explanation has been provided for this answer.
(1, -2)
(0, 4)
(2, -3)
(1, -4)
Correct answer is D
Equate the equation of the curve and the line in order to find their point of intersection ie The values of y in both equations.
\(y + x = 1 \implies y = 1 - x\)
\(x^{2} + 2x - 3 = 1 - x\)
\(x^{2} + 2x + x - 3 - 1 = 0 \implies x^{2} + 3x - 4 = 0\)
\((x - 1)(x + 4) = 0\)
\(x = (1, -4)\)
If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).
0
1
2
3
Correct answer is C
No explanation has been provided for this answer.
A fair die is tossed twice. Find the probability of obtaining a 3 and a 5.
\(\frac{5}{12}\)
\(\frac{2}{3}\)
\(\frac{1}{18}\)
\(\frac{1}{36}\)
Correct answer is D
P(c and e) = \(P(c) \times P(e)\)
P(3) = \(\frac{1}{6}\)
P(5) = \(\frac{1}{6}\)
P(3 and 5) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}\)