In △PQR, \(\overline{PQ}\) = 5i - 2j and \(\overline{QR}\) = 4i + 3j. Find \(\overline{RP}\)
-i - 5j
-9 - j
i + 5j
-9i + j
Correct answer is A
\(\overline{PQ}\) = 5i - 2j; \(\overline{QR}\) = 4i + 3j
\(\overline{RP}\) = \(\overline{PQ}\) - \(\overline{QR}\)
= 5i - 2j - [4i + 3j] = 5i - 2j - 4i - 3j
= i - 5j
5√3
6√2
6√3
9√3
Correct answer is C
No explanation has been provided for this answer.
If 2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)
\(\frac{-y}{4x+y-3}\)
\(\frac{y}{4x+y-3}\)
\(\frac{-y}{4x+x-3}\)
\(\frac{y}{4x+x-3}\)
Correct answer is D
2y\(^2\) + 7 = 3y - xy, find \(\frac{dy}{dx}\)
4y \(\frac{dy}{dx}\) + 0 = 3 \(\frac{dy}{dx}\) - x \(\frac{dy}{dx}\) + y
{4x+x-3} \(\frac{dy}{dx}\) = y
= \(\frac{y}{4x+x-3}\)
A fair die is tossed 60 times and the results are recorded in the table
| Number of die | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 15 | 10 | 14 | 2 | 8 | 11 |
Find the probability of obtaining a prime number.
\(\frac{7}{30}\)
\(\frac{1}{6}\)
\(\frac{7}{15}\)
\(\frac{8}{15}\)
Correct answer is D
Prime number in the experiment are 2,3 and 5 with frequencies 10,14 and 8
P(obtaining a prime number) = \(\frac{10+14+8}{60}\)
= \(\frac{32}{60}\) or \(\frac{8}{15}\)
129.9N
75N
60.0N
7.5N
Correct answer is B
Let the normal reaction be R
R = Wcosø = mgcosø
= 15 * 10cos 60°
= 150 * 0.5000
= 75N