Complex Numbers and Quadratic Equations-Quadratic Equations in Real and Complex Number System [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 10 of 33
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Question 1
Question MCQ▾
If satisfy the equation then the value of the expression is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 2
Question MCQ▾
For any three positive real, number we have . Then
Choices
Choice (4) | Response | |
---|---|---|
a. | are in A P | |
b. | are in G P | |
c. | are in A P | |
d. | are in G P |
Question 3
Question MCQ▾
If the equation has no real roots, then the equation will have
Choices
Choice (4) | Response | |
---|---|---|
a. | Atleast two real roots | |
b. | Four real roots | |
c. | No real root | |
d. | All of the above |
Question 4
Question MCQ▾
Both roots of the eq are imaginary and then
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 5
Question MCQ▾
Let be the roots of , Then the equation whose roots are is
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 6
Question MCQ▾
The number of real solutions of the equation is
Choices
Choice (4) | Response | |
---|---|---|
a. | Infinite | |
b. | 0 | |
c. | 1 | |
d. | 2 |
Question 7
Question MCQ▾
If does not have distinct real roots, then find the least value of
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | All of the above |
Question 8
Question MCQ▾
If then the quadratic equation whose roots are and is________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 9
Question 10
Question MCQ▾
If roots of equation are real and less than then ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |