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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.
2x2 + x – 1 = 0
6y2 – 13y + 5 = 0
Correct 2x2 + x – 1 = 0
X = -1, 1/2
6y2 – 13y + 5 = 0
Y = 10 /6 , 3/6 = 1.666 , 0.5
x ≤ y
Incorrect 2x2 + x – 1 = 0
X = -1, 1/2
6y2 – 13y + 5 = 0
Y = 10 /6 , 3/6 = 1.666 , 0.5
x ≤ y
Question 2 of 10
21x2 – 122x + 165 = 0
3y2 – 2y – 33 = 0
Correct 21x2 – 122x + 165 = 0
X = 11/3, 15/7
3y2 – 2y – 33 = 0
Y = -3, 11/3
If x = y or relation cannot be established
Incorrect 21x2 – 122x + 165 = 0
X = 11/3, 15/7
3y2 – 2y – 33 = 0
Y = -3, 11/3
If x = y or relation cannot be established
Question 3 of 10
5x2 – 29x + 36 = 0
10y2 – 3y – 27 = 0
Correct 5x2 – 29x + 36 = 0
X = 4,9/5
10y2 – 3y – 27 = 0
Y = -3/2 , 9/5 .
x ≥ y
Incorrect 5x2 – 29x + 36 = 0
X = 4,9/5
10y2 – 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
7x2 – 54x + 99 = 0
4y2 – 16y + 15 = 0
Correct 7x2 – 54x + 99 = 0
X = 33/7, 3
4y2 – 16y + 15 = 0
Y = 3/2, 5/2
x > y
Incorrect 7x2 – 54x + 99 = 0
X = 33/7, 3
4y2 – 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.
3X2 +21x +30 =0
5Y2 +22y +21 =0
Correct 3X2 +21x +30 =0
X = -5,-2
5Y2 +22y +21 =0
Y = -3,-1.4
If x = y or relation cannot be established
Incorrect 3X2 +21x +30 =0
X = -5,-2
5Y2 +22y +21 =0
Y = -3,-1.4
If x = y or relation cannot be established
Question 7 of 10
3x2 – 20x + 32 = 0
2y2 – 19y + 44 = 0
Correct 3x2 – 20x + 32 = 0
x = 4,8/3
2y2 – 19y + 44 = 0
y = 4 ,11/2
x ≤ y
Incorrect 3x2 – 20x + 32 = 0
x = 4,8/3
2y2 – 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
15x2 + 68x + 77 = 0
3y2 + 29y + 68 = 0
Correct 15x2 + 68x + 77 = 0
X = -7/3, -11/5
3y2 + 29y + 68 = 0
y= -4, -17/3
x > y
Incorrect 15x2 + 68x + 77 = 0
X = -7/3, -11/5
3y2 + 29y + 68 = 0
y= -4, -17/3
x > y