Complex Numbers and Quadratic Equations [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 8 of 226

Choose Programs:

⏳ 🎯 Online Tests (2 Tests [30 questions each]): NTA Pattern, Analytics & Explanations

Rs. 120.00 -OR-

3 Year Validity (Multiple Devices)

Sample TestsDetailsSee Demo

🎓 Study Material (45 Notes): 2024-2025 Syllabus

Rs. 100.00 -OR-

3 Year Validity (Multiple Devices)

Topic-wise Notes & SampleDetails

🎯 317 Numeric, 3252 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)

Rs. 700.00 -OR-

3 Year Validity (Multiple Devices)

CoverageDetailsSample Explanation

Help me Choose & Register (Watch Video) Already Subscribed?

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

a.

2

b.

c.

d.

Edit

Question 2

Question MCQ▾

The value of z satisfying the equation is

Choices

Choice (4)Response

a.

0

b.

c.

d.

Edit

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

a.

11

b.

5

c.

2

d.

7

Edit

Question 4

Question MCQ▾

The curve intersects in exactly one point if λ equals

Choices

Choice (4)Response

a.

b.

c.

{2}

d.

Edit

Question 5

Question MCQ▾

represents the equation of a circle with least radius, then value of λ is

Choices

Choice (4)Response

a.

4

b.

2

c.

3

d.

5

Edit

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.

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

Question 7

Question MCQ▾

satisfies the condition . Then find the least value of

Choices

Choice (4)Response

a.

b.

c.

d.

Edit

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

Choices

Choice (4)Response

a.

b.

c.

d.

Edit