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In this series of quizzes, we will be providing most important questions on Quadratic Equations which are usually asked in the exams. In Prelims Examination, usually 5-15 questions are asked from this topic. You can also check following topics to practice questions.

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Question 1 of 10

Directions:1-5) In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.

2x^{2} + x – 1 = 0

6y^{2 } – 13y + 5 = 0

Correct 2x^{2} + x – 1 = 0

X = -1, 1/2

6y^{2 } – 13y + 5 = 0

Y = 10 /6 , 3/6 = 1.666 , 0.5

x ≤ y

Incorrect 2x^{2} + x – 1 = 0

X = -1, 1/2

6y^{2 } – 13y + 5 = 0

Y = 10 /6 , 3/6 = 1.666 , 0.5

x ≤ y

Question 2 of 10

21x^{2} – 122x + 165 = 0

3y^{2} – 2y – 33 = 0

Correct 21x^{2} – 122x + 165 = 0

X = 11/3, 15/7

3y^{2} – 2y – 33 = 0

Y = -3, 11/3

If x = y or relation cannot be established

Incorrect 21x^{2} – 122x + 165 = 0

X = 11/3, 15/7

3y^{2} – 2y – 33 = 0

Y = -3, 11/3

If x = y or relation cannot be established

Question 3 of 10

5x^{2 } – 29x + 36 = 0

10y^{2 } – 3y – 27 = 0

Correct 5x^{2 } – 29x + 36 = 0

X = 4,9/5

10y^{2 } – 3y – 27 = 0

Y = -3/2 , 9/5 .

x ≥ y

Incorrect 5x^{2 } – 29x + 36 = 0

X = 4,9/5

10y^{2 } – 3y – 27 = 0

Y = -3/2 , 9/5 .

x ≥ y

Question 4 of 10

Correct 7x + 4y = 3

5x + 3y = 3

X = -3, Y= 6.

x < y

Incorrect 7x + 4y = 3

5x + 3y = 3

X = -3, Y= 6.

x < y

Question 5 of 10

7x^{2} – 54x + 99 = 0

4y^{2} – 16y + 15 = 0

Correct 7x^{2} – 54x + 99 = 0

X = 33/7, 3

4y^{2} – 16y + 15 = 0

Y = 3/2, 5/2

x > y

Incorrect 7x^{2} – 54x + 99 = 0

X = 33/7, 3

4y^{2} – 16y + 15 = 0

Y = 3/2, 5/2

x > y

Question 6 of 10

Directions:6-10) In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.

3X^{2} +21x +30 =0

5Y^{2} +22y +21 =0

Correct 3X^{2} +21x +30 =0

X = -5,-2

5Y^{2} +22y +21 =0

Y = -3,-1.4

If x = y or relation cannot be established

Incorrect 3X^{2} +21x +30 =0

X = -5,-2

5Y^{2} +22y +21 =0

Y = -3,-1.4

If x = y or relation cannot be established

Question 7 of 10

3x^{2} – 20x + 32 = 0

2y^{2} – 19y + 44 = 0

Correct 3x^{2} – 20x + 32 = 0

x = 4,8/3

2y^{2} – 19y + 44 = 0

y = 4 ,11/2

x ≤ y

Incorrect 3x^{2} – 20x + 32 = 0

x = 4,8/3

2y^{2} – 19y + 44 = 0

y = 4 ,11/2

x ≤ y

Question 8 of 10

Correct 7x – 4y = 40

8x + 8y = 8

X= 4, Y = – 3.

x > y

Incorrect 7x – 4y = 40

8x + 8y = 8

X= 4, Y = – 3.

x > y

Question 9 of 10

(2025X) ^{1/2 } +3600= 0

(16)^{1/4} y + (512)^{1/3} = 0

Correct (2025X) ^{1/2 } +3600= 0

X = 6400

2y+8=0

y =-8/2 =-4.

x > y

Incorrect (2025X) ^{1/2 } +3600= 0

X = 6400

2y+8=0

y =-8/2 =-4.

x > y

Question 10 of 10

15x^{2} + 68x + 77 = 0

3y^{2} + 29y + 68 = 0

Correct 15x^{2} + 68x + 77 = 0

X = -7/3, -11/5

3y^{2} + 29y + 68 = 0

y= -4, -17/3

x > y

Incorrect 15x^{2} + 68x + 77 = 0

X = -7/3, -11/5

3y^{2} + 29y + 68 = 0

y= -4, -17/3

x > y