Page 7 19. The value of cot 12º cot 38º cot 52º cot 60º

19. The value of cot 12º cot 38º cot 52º cot 60º cot 78º is …………
2
1
(b)
(c)
(a)
3
3
3
Sol. (c)
(d)
4
3
20. The value of cos 1º, cos 2º, cos 3º, cos 4º …………. Cos 180º = ………
(a) 1
(b)
3
(c) 2
(d)
Sol. (d)
0


21. The value of 1  sin2  ,sec2  is……..
(a) 2
(b)
3
2
(c)
1
(d)
0
(c)
sec ec 2
(d)
cot2 
p2  1
(d)
P 2 1
Sol. (c)
22.
sec4   sec2  = ……….
(a)
Sol. (a)
tan4   tan2 
(b)
sec2   1
23. If sec   tan   P , then value of sin  is ………..
(a)
P+1
(b)
P–1
(c)
p 1
2
Sol. (c)
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24. If x = r sin A cos c, y = r sin A sin C and Z = r cos A, then x4 + y2 + z2 =……………….
(a) 1
(b)
3r
(c) r2
(d) 2r
Sol. (c)
25. If sin   sin2   1 , then cos2   cos4  = …………
(a) 2
(b)
1
(c)
0
(d)
2
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Sol. (b)
26. In the figure given below, AD bisects BAC . If AB = 10 cm. AC = 14 cm and BC = 6 cm, then
BD = …………
Fig
(a) 2.5 cm
(b)
3 cm
(c) 3.5 cm
(d) 4.5 cm
Sol. (a)
27. In the figure given AB|| DC, find the value of x.
Fig
(a) 7
(b)
9
(c)
Sol. (b)
3
(d)
11
28. In the figure given, CAB  90º and AD  BC . If AC = 75 cm, AB = 1m and BD = 1.25m,
then AD = ……………
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(a) 20.45 cm
Sol. (c)
(b)
35.75 cm
(c)
93.75 cm
(d)
46 cm
29. If ABC DEF such that area of ABC is 9 cm2 and the area of DEF is 16 cm2 and BC =
2.1 cm , then value of EF is…………
(a) 3.6 cm
(b)
2.8 cm
Sol. (b)

(c)
3.2 cm
(d)
5 cm

30. P and Q are the mid –point of the sides CA and CB respectively of a ABC , right angled at C.
Then 4 AQ 2  BP 2 = …………….
(a) 6 AB2
Sol. (d)
(b)
7 AB2
(c)
9 AB2
(d)
5 AB2
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