Complex Numbers and Quadratic Equations [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 8 of 226
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Question 1
Question MCQ▾
Let α be a repeated root of quadratic equation and , and be polynomial of degree respectively, then g (x) = is divisible by
Choices
Choice (4) | Response | |
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a. | 2 | |
b. | ||
c. | ||
d. |
Question 2
Question 3
Question MCQ▾
A quadratic equation with integral coefficients has two different prime number as its roots. If the sum of the coefficients of the equation is prime, then the sum of the roots is
Choices
Choice (4) | Response | |
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a. | 11 | |
b. | 5 | |
c. | 2 | |
d. | 7 |
Question 4
Question MCQ▾
The curve intersects in exactly one point if λ equals
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | {2} | |
d. |
Question 5
Question MCQ▾
represents the equation of a circle with least radius, then value of λ is
Choices
Choice (4) | Response | |
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a. | 4 | |
b. | 2 | |
c. | 3 | |
d. | 5 |
Question 6
Appeared in Year: 2010
Question MCQ▾
Let be two distinct complex and for some real number t with If denotes the principle argument of a non-zero complex number then.
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b. | ||
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Question 7
Question MCQ▾
satisfies the condition . Then find the least value of
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Question 8
Appeared in Year: 2007
Question MCQ▾
A man walks a distance of units from the origin towards the north-east direction. From there, he walks a distance of 4 units towards the north west direction to reach a point P. Then the position of P in the Argand plane is
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Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |