Quadratic Equations

IMPORTANT

Quadratic Equations: Overview

This topic covers concepts, such as Roots of a Quadratic Equation, Quadratic Equation, Standard Form of a Quadratic Equation, Applications of Quadratic Equations, Solution of a Quadratic Equation by Factorisation, etc.

Important Questions on Quadratic Equations

HARD
IMPORTANT

In the following questions, two-equation numbered I and II are given. You have to solve the equation and give the answer if-

1. x > y
2. x  y
3. x < y
4. x  y
5. x= y Or the relationship cannot be established.

I.3x2-47x+184 = 0
II.2y2-23y+66 = 0

EASY
IMPORTANT

In the following questions, two-equation numbered I and II are given. You have to solve the equation and give the answer if-

1. x > y2. x  y3. x < y4. x  y
5. x = y  Or the relationship cannot be established.

I. x2-103x+63=0
II.y2-2y-24=0

MEDIUM
IMPORTANT

In each of the following questions, two equations are given. You have to solve them and find the relation between p and q
 

I.6p2+5p+1=0

II.20q2+9q=-1

MEDIUM
IMPORTANT

In the question, two equations (I) and (II) are given. You have to solve both the equations and give the answer.

(A) If x>y

(B) If x<y

(C) If xy

(D) If xy

(E) If x=y or there is no relationship.

I. 12x-23x=5x
II. y12-5y12=1y

EASY
IMPORTANT

In the following questions, two equations numbered I and II are given. You have to solve both the equations and Give an answer If

(1)x > y

(2) x  y

(3) x<  y

(4) x  y

(5) x = y  Or the relationship cannot be established

I. 2x + 3y = 19
II.3x - 2y = 9

HARD
IMPORTANT

In the following questions, two equations numbered I and II are given. You have to solve the equation and give the answer if-

1. x > y
2. x  y
3. x < y
4. x  y
5. x = y  Or the relationship cannot be established.

I. x2-8x+16 = 0
II.20y2-y-12 = 0

HARD
IMPORTANT

In the following questions, two-equation numbered I and II are given. You have to solve the equation and give the answer if-

1. x > y2. x  y3. x < y4. x y
5. x = y  Or the relationship cannot be established.

I. x2-14x+48=0
II.y2-y-30=0

MEDIUM
IMPORTANT

In the following question, two equations numbered I and II are given. You have to solve both the equations and Give answer If
1.x > y
2.x  y
3.x < y
4.x  y
5.x = y Or the relationship cannot be established.

I.6x + 14x = 10

II.y2 + y3 = 52

MEDIUM
IMPORTANT

In each of the following questions, two equations are given. You have to solve them and find out the relation between a and b:

I. a2+6a+9=0
II. b2+8b+16=0

MEDIUM
IMPORTANT

In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer if
1) if x>y
2) if xy
3) if x<y
4) if xy
5) if x=y or the relationship cannot be established.

I. x²  19x + 84 = 0
II. y²  25y + 156 = 0

MEDIUM
IMPORTANT

In the following questions two equation numbered I and II are given. You have solve the equation and give answer if-
1. x > y
2. x y
3. x < y
4. x y
5. x = y or the relationship cannot be established.
I. 20x2 -31x +12=0
II. 20y2 -y-12=0

EASY
IMPORTANT

Directions: In each of these questions, two equations I and II are given. You have to solve both the equations and give the answer
A. if x<y
B. if x y
C. if x=y, or no relation can be established between x and y.
D. if x>y
E. if xy

I. 9x2=1 II. 4y2+11y3 = 0

MEDIUM
IMPORTANT

In each of the following questions, two equations are given. You have to solve them and find the relation between p and q?

I.3p² + 15p = - 18
II. q² + 7q + 12 = 0

 

MEDIUM
IMPORTANT

In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer if
1) if x > y
2) if x  y
3) if x < y
4) if x  y
5) if x = y Or the relationship cannot be established.

I. 9x + 19x = x
II.y5 - 2 × 14112y = 0

MEDIUM
IMPORTANT

In the following questions two equations numbered I and II are given. You have to solve both equations and Give answer if:

i. X-225=92613X-\sqrt { 225 } =\sqrt [ 3 ]{ 9261 }
II. Y-361=68593Y-\sqrt { 361 } =\sqrt [ 3 ]{ 6859 }

MEDIUM
IMPORTANT

In the following question, two equations numbered I and II are given. You have to solve both the equations and give answer if

1 x > y
2 x > y  or  x = y
3 x < y
4 y > x  or  y = x
(5) x = y Or the relationship cannot be established.

I. y - x = z
II.zx-1 = 0.0005

EASY
IMPORTANT

In each of the question, two equations numbered I and II with variables x and y are  given. You have to solve both the equations to find the value of x and y. Give answer:
A. If x>y
B. If xy
C. If x<y
D. If xy
E. If x=y or relationship between x and y can not be determined.

I. 28x2-9x-9=0
II. 7y2+24y+9=0

MEDIUM
IMPORTANT

In each of the following questions two equations are given. You have to solve both the equation and find out the values of x and y. And relation between them?

I. 4x2  11x + 6 = 0
II. 4y2 17y+18=0

EASY
IMPORTANT

In following questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the relation between x and y.

I) x2-23x + 102 = 0II) y2-35y + 306 = 0

EASY
IMPORTANT

In following questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the relation between x and y.

I) 2x2 + 32x + 120 = 0 II) y2+ 16y + 48 = 0