CAT Previous Year Questions: Quadratic equations

*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]

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

[2019]

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

[2019]

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]

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]

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]

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]

The document Quadratic Equations CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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## Quantitative Aptitude (Quant)

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## FAQs on Quadratic Equations CAT Previous Year Questions with Answer PDF

Ans. Quadratic equations are polynomial equations of degree 2 in which the highest power of the variable is 2. They can be written in the form of ax^2 + bx + c = 0, where a, b, and c are constants.
 2. How do you solve quadratic equations?
Ans. Quadratic equations can be solved using various methods such as factoring, completing the square, or using the quadratic formula. These methods help in finding the values of x that satisfy the equation.
 3. What is the discriminant of a quadratic equation?
Ans. The discriminant of a quadratic equation is the expression b^2 - 4ac, where a, b, and c are the coefficients of the equation. It helps determine the nature of the solutions. If the discriminant is positive, the equation has two distinct real solutions. If it is zero, the equation has one real solution. And if it is negative, the equation has two complex solutions.
 4. Can quadratic equations have no solutions?
Ans. Yes, quadratic equations can have no solutions. This happens when the discriminant of the equation is negative. In such cases, the equation does not intersect the x-axis, and therefore, there are no real solutions.
 5. How are quadratic equations useful in real life?
Ans. Quadratic equations are used in various real-life applications such as physics, engineering, finance, and computer graphics. They help in solving problems related to projectile motion, optimization, finding roots of equations, analyzing parabolic shapes, and more.

## Quantitative Aptitude (Quant)

185 videos|158 docs|113 tests
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