Quadratic Equation Questions- This is one of the most important topics in IBPS RRB PO and IBPS RRB Clerk Prelims 2020. With the right strategy and approach, you can easily score good marks in the Quantitative Aptitude section. In this space, we will be discussing all the tried and tested tips and tricks that will be really helpful for you to ace this topic. Not only this, but we will also be providing you the free PDF along with the tips to make sure that you have the right practice material to study from. Let’s take a look at all the tips and tricks that will help you to ace this topic without any difficulty:
Types of Quadratic Equation
There are different types of Quadratic Equations that are asked in the exam namley: Linear Equation, Squares Equation, Sqaures and Sqaure root equation, Cube Cases,
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Linear Equation– This type of question require a candidate to solve the equation and find the value for X and Y and only single values are obtained after solving the equations. for ex- 2X+3Y=5, X+2Y=6, 2X+3Y=5—–(eq.1), (X+2Y=6)X2——(eq.2)
Solving these two equations, We get, X=-8 & Y= 7
Hence Y>X, this will be our final answer
Squares Equation– These type of questions require a students to find the sqaure root of the given below and we end up getting two values each for X and Y but one is negative while other is positive. You can always solve these types of questions very easily because the answer to such questions are always Cannot be Determined.
For e.q., X= 1600 & Y=2500
On finding their square root we will get X=+40, -40 & Y= +50, -50
Sqaures and Sqaure root equation– These type of questions require a studentto find the roots of the given values and when you solve, one is sqaure while the other one is square root and we know that sqaure root always gives positive value when we solve it. For e.g. X=1600 & Y= 2500. On solving them we will get, X= +40, -40 & Y=+50. Hence, our answer will be Y>X
Cube Cases– These type of question, the cube will be given and you have to answer the relation between those cubes.
For e.g. X= 1331 & Y= 729. after solving two equation, we will get X= 11 & Y= 9. Hence, X>Y. The tips is that whichsoever cube will be greater when you will solve it that cube will remain greater.
Table Method to Solve Quadratic Equation
|Sign of coefficient ‘x’||Sign of coefficient ‘y’||Sign of roots|
One of the best way to solve Quadratic Equation questions. You can answer the question without actually solving the equations. For e.g. x2 – 7x + 10 = 0, y2 + 8y + 15 = 0
Given below are some of the tips with which you can solve this equation without actually solving the equation. Let’s see
- First step is to look at the sign in equation.1 which are -, + means its roots will be +,+ as per our table.
- Second step is to look at the other equation, we will see the signs are +, + which means that our roots will be -, -.
- Hence X>Y as it has both the roots positive.
Different cases in Quadratic Equations
|CASES||Roots of Eq.1||Roots of Eq. 2||Conclusion|
|CASE-2||+, +||+, +||Easy|
|CASE-3||+, +||-, –||Eq 1>Eq 2|
|CASE-4||+, –||+, –||Cannot be defined|
|CASE-5||-, –||-, –||Easy|
|CASE-6||-, –||+,+||Eq1< Eq2|
|CASE-7||+, –||+,+||Solve the Equations|
Now that you have learned the concept, its better to practice what you have learned so far with the best practice material and for that purpose we are providing you the Free PDF.
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