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.

Edit

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

Edit

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

Edit

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

Edit

Question 5

Question MCQ▾

Let be the roots of , Then the equation whose roots are is

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

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

Edit

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

Edit

Question 8

Question MCQ▾

If then the quadratic equation whose roots are and is________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 9

Question MCQ▾

If and then is________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 10

Question MCQ▾

If roots of equation are real and less than then ________

Choices

Choice (4)Response

a.

b.

c.

d.

Edit