NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3

Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3 is available here that will help you in solving any difficult questions present in the exercise and also for framing your own answers. Class 11 Maths NCERT Solutions given here are prepared by team of Studyrankers subject experts who have taken every care to detail every answer so students can understand the concepts easily.

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3

1. Solve each of the following equations:
x2 + 3 = 0

Answer

x2 + 3 = 0 ∴ x2 = -3
∴ x = ±√-3 = ±√3i

2. 2x2 + x + 1 = 0

Answer

2x2 + x + 1 = 0 comparing with ax2 + bx + c = 0
a = 2, b = 1, c = 1
b2 – 4ac = 12 – 4.2.1 = 1 – 8 = -7
∴ x = (-b ± √b2-4ac )/2a = (-1 ± √-7)/2.2
= (-1 ± √7i)/4

3. x2 + 3x + 9 = 0

Answer


4. -x2 + x – 2 = 0

Answer


5. x2 + 3x + 5 = 0

Answer


6. x2 – x + 2 = 0

Answer


7. √2x2 + x + √2 = 0

Answer


8. √3x2 – √2x + 3√3 = 0

Answer

We have a = √3, b = -√2, c = 3√3
∴ Discriminant of the equations is D = b2 – 4
ac = (-√2)2 – 4×√3×3√3
=> D = 2 – 36 = -34
∴ x = (-b ± √D)/2a = (√2 ± √-34)/2×√3 = (√2 ± √34i)/2√3
∴ x = (√2 ± √34i)/2√3

9. x2 + x + 1/√2 = 0

Answer



10. x2 + x/√2 + 1 = 0

Answer

x2 + x/√2 + 1 = 0 or √2x2 + x + √2 = 0,
we have a = √2, b = 1, c= √2
∴ Discriminant of the equation is
D = b2 – 4ac = 12 – 4 × √2 × √2
=> D = 1 – 8 = -7
Previous Post Next Post
X
Free Study Rankers App Download Now