Bank Exams Exam  >  Bank Exams Notes  >  IBPS PO Prelims & Mains Preparation  >  CAT Previous Year Questions: Quadratic equations

Quadratic Equations CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:If x and y are real numbers such that x2 +  (x - 2y - 1)2 = - 4y (x + y), then the value x − 2y is

[2023]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:If Quadratic Equations CAT Previous Year Questions with Answer PDF then Quadratic Equations CAT Previous Year Questions with Answer PDF is equal to

[2023]

View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Quadratic equations
Try yourself: The number of integer solutions of equation 2 |x| (x2 + 1) = 5x2 is

[2023]

Check
View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Quadratic equations
Try yourself:Let α and β be the two distinct roots of the equation 2x2 - 6x + k =0, such that (α+β) and αβ are the distinct roots of the equation x+ px + p = 0. Then, the value of 8 (k - p) is

[2023]

Check
View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The equation x3 + (2r+1)x2 + (4r − 1)x + 2 = 0 has -2 as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of r is

[2023]

Check
View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The sum of all possible values of x satisfying the equation Quadratic Equations CAT Previous Year Questions with Answer PDF is

[2023]

View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Quadratic equations
Try yourself:Let k be the largest integer such that the equation (x - 1)2 + 2kx + 11 = 0 has no real roots. If y is a positive real number, then the least possible value of k/4y + 9y is

[2023]

Check
View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight, then the difference between the highest and lowest possible values of the total price of the four pieces will be 288000. Then, the price of the original precious stone is

[2023]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The largest real value of a for which the equation |x + a| + |x - 1| = 2 has an infinite number of solutions for x is

[2022]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:Let a and b be natural numbers. If a2 + ab + a = 14 and b2 + ab + b = 28, then (2a + b) equals

[2022]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:Let r and c be real numbers. If r and - r are roots of 5x3 + cx2 - 10x + 9 = 0, then c equals

[2022]

View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The number of solutions of the equation |x|(6x2 + 1) = 5x2 is

[TITA 2019]

Check
View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The product of the distinct roots of |x2 - x - 6| = x + 2 is

[2019]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:What is the largest positive integer such that Quadratic Equations CAT Previous Year Questions with Answer PDF is also positive integer?

[2019]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:Let A be a real number. Then the roots of the equation x2 - 4x - log2A = 0 are real and distinct if and only if

[2019]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The quadratic equation x2 + bx + c = 0 has two roots 4a and 3a, where a is an integer. Which of the following is a possible value of b2 + c?

[2019]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:If u2 + (u−2v−1)2 = −4v(u + v), then what is the value of u + 3v?

[2018]

View Solution

Question for CAT Previous Year Questions: Quadratic equations
Try yourself:The minimum possible value of the sum of the squares of the roots of the equation x2 + (a + 3)x - (a + 5) = 0 is

[2017]

View Solution

The document Quadratic Equations CAT Previous Year Questions with Answer PDF is a part of the Bank Exams Course IBPS PO Prelims & Mains Preparation.
All you need of Bank Exams at this link: Bank Exams
536 videos|683 docs|263 tests

Top Courses for Bank Exams

FAQs on Quadratic Equations CAT Previous Year Questions with Answer PDF

1. How do you solve quadratic equations by factoring?
Ans. To solve a quadratic equation by factoring, you need to set the equation equal to zero, factor the quadratic expression, and then set each factor equal to zero to find the roots.
2. Can quadratic equations have imaginary roots?
Ans. Yes, quadratic equations can have imaginary roots if the discriminant (b^2 - 4ac) is negative.
3. What is the quadratic formula used for?
Ans. The quadratic formula is used to find the roots of a quadratic equation ax^2 + bx + c = 0, where a, b, and c are constants.
4. How do you determine the nature of the roots of a quadratic equation?
Ans. The nature of the roots of a quadratic equation can be determined by looking at the discriminant. If the discriminant is positive, the equation has two real roots. If it is zero, the equation has one real root. If it is negative, the equation has two complex roots.
5. Can all quadratic equations be factored?
Ans. Not all quadratic equations can be factored using integers. Some quadratic equations may require the quadratic formula or completing the square to find the roots.
536 videos|683 docs|263 tests
Download as PDF
Explore Courses for Bank Exams exam

Top Courses for Bank Exams

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

practice quizzes

,

video lectures

,

Quadratic Equations CAT Previous Year Questions with Answer PDF

,

Viva Questions

,

MCQs

,

Sample Paper

,

Exam

,

Important questions

,

Semester Notes

,

shortcuts and tricks

,

Free

,

Extra Questions

,

mock tests for examination

,

Quadratic Equations CAT Previous Year Questions with Answer PDF

,

pdf

,

Quadratic Equations CAT Previous Year Questions with Answer PDF

,

past year papers

,

Summary

,

study material

,

Previous Year Questions with Solutions

,

ppt

,

Objective type Questions

;