If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer?

EduRev

Home
Explore Courses
Pricing Plans
Partner Courses
Doubts
Ask a doubt
My Profile
Switch to Infinity
View Analysis
Create Your Own Test
Raise a Demand
Report this question

EduRev

All Courses

Get the App

Open App

CAT Question > If one root is common between two quadratic e...

Join the Discussion on the App

If one root is common between two quadratic equations, x² + 4x + 6 and ax² + bx+ c, then find the product of the roots of ax² + bx+ c. (Given: a, b and c are natural numbers.)

a)
4
b)
3
c)
-2
d)
6

Correct answer is option 'D'. Can you explain this answer?

Verified Answer

If one root is common between two quadratic equations, x2 + 4x + 6 and...

Solution: Discriminant of (x² + 4x + 6) < 0 The equation will not have real roots. i.e., x² + 4x + 6 has complex roots and they are conjugates of each other. One of the roots is also a root of ax² + bx + c. Conjugate roots always occur in pairs.
So, the product of the roots of (ax² + bx + c) is same as that of (x² + 4x + 6). v a = 1 , b = 4 and c = 6 The product = c/a = 6 Hence, option 4.

Top Courses for CAT

View all

Quantitative Aptitude (Quant)

Verbal Ability (VA) & Reading Comprehension (RC)

Logical Reasoning (LR) and Data Interpretation (DI)

CAT Mock Test Series

How To Prepare For CAT

Top Courses for CAT

Quantitative Aptitude (Quant)

Verbal Ability (VA) & Reading Comprehension (RC)

Logical Reasoning (LR) and Data Interpretation (DI)

CAT Mock Test Series

How To Prepare For CAT

View all

1 Crore+ students have signed up on EduRev. Have you? Download the App

1 Crore+ students have signed up on EduRev. Have you?

Download the App

Learn this topic in detail

CAT Practice Test - 20

100 Ques | 180 Mins

Start Test

Similar CAT Doubts

Two different quadratic equations have a common root. Let the three unique roots of the two equations be A, B and C - all of them are positive integers. If (A + B + C) = 41 and the product of the roots of one of the equations is 35, which of the following options is definitely correct?

View answer

InstructionsEach of the 23 boxes in the picture below represents a product manufactured by one of the following three companies: Alfa, Bravo and Charlie. The area of a box is proportional to the revenue from the corresponding product, while its centre represents the Product popularity and Market potential scores of the product (out of 20). The shadings of some of the boxes have got erased.The companies classified their products into four categories based on a combination of scores (out of 20) on the two parameters - Product popularity and Market potential as given below:The following facts are known:1. Alfa and Bravo had the same number of products in the Blockbuster category.2. Charlie had more products than Bravo but fewer products than Alfa in the No-hope category.3. Each company had an equal number of products in the Promising category.4. Charlie did not have any product in the Doubtful category, while Alfa had one product more than Bravo in this category5. Bravo had a higher revenue than Alfa from products in the Doubtful category.6. Charlie had a higher revenue than Bravo from products in the Blockbuster category.7. Bravo and Charlie had the same revenue from products in the No-hope category.8. Alfa and Charlie had the same total revenue considering all products.Q.Which of the following is the correct sequence of numbers of products Bravo had in No-hope, Doubtful, Promising and Blockbuster categories respectively?

View answer

If a quadratic equation x2−ax+bhas roots in the ratio 1:4, then the minimum value of b-4a+3 can be written in the form −p/q, where p and q are co-prime natural numbers. Then the value of p-q=? Correct answer is '21'. Can you explain this answer?

View answer

Each question is followed by two statements A and B. Answer each questionusing the following instructions.Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark (3) if the question can be answered by using both the statementstogether but not by using either of the statements alone.Mark (4) if the question cannot be answered on the basis of the two statements.What is the difference in the cubes of the roots of the quadratic equation ax2 + bx + c = 0? Sum of the roots of the quadratic equation is known. Product of the roots of the quadratic equation is known. Correct answer is '3'. Can you explain this answer?

View answer

Which of the following statements regarding quadratic equations is/are true?(

View answer

Quick links for CAT exam

850+
Video Lectures

View All Videos

2500+
Revision Notes

View All Docs

600+
Online Tests

View All Tests

34+
Courses

View All Courses

If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer?.

Solutions for If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.

Here you can find the meaning of If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If one root is common between two quadratic equations, x2 + 4x + 6 and ax2 + bx+ c, then find the product of the roots of ax2 + bx+ c. (Given: a, b and c are natural numbers.)a)4b)3c)-2d)6Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.