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Question
If A and B are the roots of the equation Ax2 ? A2x + AB = 0 , then what is the value of A and B respectively?
Options
A. 1, 0
B. 1, 1
C. 0, 2
D. 0, 1
Correct Answer
1, 0
Tags:
Bank Exams
Simplification problems
Search Results
1. If x2 ? 16x ? 59 = 0 , then what is the value of (x ? 6)2 + [1/(x ? 6)2] ?
Options
A. 14
B. 18
C. 16
D. 20
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Correct Answer: 18
2. If a and b are the roots of the equation Px2 ? Qx + R = 0 , then what is the value of (1/a2) + (1/b2) + (a/b) + (b/a) ?
Options
A. Q2-2P2R+PPR2
B. Q2-2PRR+PPR2
C. Q2-2R2P+RP2R2
D. Q2-2PR2R+2PP2R2
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Correct Answer: Q2-2PRR+PPR2
3. ? and ? are the roots of quadratic equation. If ? + ? = 8 and ? ? ? = 2?5, then which of the following equation will have roots ?4 and ?4 ?
Options
A. x2 ? 1522x + 14641 = 0
B. x2 + 1921x + 14641 = 0
C. x2? 1764x + 14641 = 0
D. x2+ 2520x + 14641 = 0
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Correct Answer: x2 ? 1522x + 14641 = 0
4. If the difference between the roots of the equation Ax2 ? Bx + C = 0 is 4, then which of the following is TRUE?
Options
A. B2 ? 16A2 = 4AC + 4B2
B. B2 ? 10A2 = 4AC + 6A2
C. B2 ? 8A2 = 4AC + 10A2
D. B2 ? 16A2 = 4AC + 8B2
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Correct Answer: B2 ? 10A2 = 4AC + 6A2
5. If a = 3+23-2, b = 3-23+2 then a2+b2-ab ?
Options
A. 97
B. (2?3) + 2
C. (4?6) + 1
D. 98
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Correct Answer: 97
6. If a + b + c = 9, ab + bc + ca = 26, a3 + b3 = 91, b3 + c3 = 72 and c3 + a3 = 35 , then what is the value of abc?
Options
A. 48
B. 24
C. 36
D. 42
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Correct Answer: 24
7. If x3 ? 4x2 + 19 = 6(x ? 1) , then what is the value of [x2 + (1/x ? 4)] ?
Options
A. 3
B. 5
C. 6
D. 8
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Correct Answer: 6
8. If 2x + 3y ? 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?
Options
A. 32
B. 52
C. 64
D. 46
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Correct Answer: 52
9. PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?
Options
A. 5/?3
B. 10?3
C. 10/?3
D. 5?2
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Correct Answer: 5/?3
10. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and PC = 11 cm, then what is the value (in cm) of PD?
Options
A. 18
B. 9
C. 20
D. 12
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Correct Answer: 20
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