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Question
0 is the circumference of a triangle ?ABC . The point A and the chord BC are on the opposite side of O. If ?BOC=150° then the value of ?BAC is
Options
A. 65°
B. 60°
C. 70°
D. 75°
Correct Answer
75°
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Bank Exams
Simplification problems
Search Results
1. The length of a median of an equilateral triangle is 12?3 cms. Then the area of the triangle is
Options
A. 144 sq. cms
B. 288?3 sq. cms
C. 144?3 sq. cms
D. 288sq.cms
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Correct Answer: 144?3 sq. cms
2. If x2-2x+1=0, then the value of x4+1x4 is
Options
A. 0
B. 1
C. 2
D. 3
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Correct Answer: 1
3. If a+b=5 then the value of a-37+b-27 is
Options
A. 27
B. 37
C. 1
D. 0
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Correct Answer: 0
4. What is the simplified value of cosec 2A + cot 2A?
Options
A. sec A
B. sec (A/2)
C. cot A
D. cot2 A
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Correct Answer: cot A
5. What is the simplified value of sin2(90??)?[sin(90??)sin?/tan?] ?
Options
A. 1
B. cosec ?
C. 0
D. cos ?
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Correct Answer: 0
6. In an acute-angled triangle ABC is Sin(B+A+C)= 32 and tan(C+A-B)=1, then C is equal to
Options
A. 37.5°
B. 67.5°
C. 52.5°
D. 72.5°
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Correct Answer: 52.5°
7. If SinX-CosX=1, where 'X' is an acute angle, the value of SinX+CosX is
Options
A. 0
B. 1
C. 1/2
D. 2
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Correct Answer: 1
8. If (x ? 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0 , then what are the values of k1 and k2?
Options
A. k1 = 6, k2 = ? 1
B. k 1 = 1, k 2 = ? 6
C. k 1 = 1, k2 = 6
D. k1 = ? 6, k2 = 1
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Correct Answer: k 1 = 1, k 2 = ? 6
9. If (x ? y) = 7, then what is the value of (x ? 15)3 ? (y ? 8)3 ?
Options
A. 0
B. 343
C. 392
D. 399
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Correct Answer: 0
10. If x ? y ? ?18 = ?1 and x + y ? 3?2 = 1, then what is the value of 12xy(x2 ? y2) ?
Options
A. 0
B. 1
C. 512?2
D. 612?2
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Correct Answer: 612?2
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