TR is the tangent to the circle PQR with centre O. Find the size of ∠PRT
44o
46o
60o
74o
118o
Correct answer is C
Reflex < POQ = 360° - 148° = 212°
< PRO = 360° - 330° = 30°
But < ORT = 90° \(\implies\) < PRT = 90° - 30° = 60°
68o
64o
42o
32o
22o.
Correct answer is A
TQR = 90 - 42 = 48o
QRT = 180 - (64 - 48)
    = 180 - 112
    = 68o
Find the value of t for which \(\frac{64}{27} = (\frac{3}{4})^{t - 1}\)
-4
-2
11/3
2
4
Correct answer is B
\(\frac{64}{27} = (\frac{3}{4})^{t-1}\)
\((\frac{3}{4})^t = \frac{64}{27} \times \frac{3}{4} = \frac{16}{9}\)
\((\frac{3}{4})^t = (\frac{9}{16})^{-1}\)
\((\frac{3}{4})^t = (\frac{3}{4})^{-2}\)
t = -2
Find the common ratio in the GP: log 3, log 9, log 81 ..........
1
2
3
6
9
Correct answer is B
r = log9/log3 = 2log3/log3 = 2
The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.
19/10
21/5
23/11
21/2
24/5
Correct answer is E
a + 10d = 25
-3 + 10d = 25
d = 28/10 = 24/5