CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Straight Lines - 1
Straight Lines - 1 Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on Straight Lines - 1 Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is a quadratic equation? |  |
Ans. A quadratic equation is a second-degree polynomial equation in a single variable, usually written in the form ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to zero.
| 2. How do you solve a quadratic equation? | |
Ans. There are multiple methods to solve a quadratic equation, including factoring, using the quadratic formula, completing the square, or graphing. The most commonly used method is the quadratic formula, which states that the solutions for the equation ax^2 + bx + c = 0 can be found using the formula x = (-b ± √(b^2 - 4ac)) / (2a).
| 3. Can a quadratic equation have more than two solutions? | |
Ans. No, a quadratic equation can have a maximum of two solutions. This is because a quadratic equation is a second-degree polynomial, and the fundamental theorem of algebra states that a polynomial equation of degree n has exactly n solutions. Therefore, a quadratic equation can have zero, one, or two solutions.
| 4. What is the discriminant of a quadratic equation? | |
Ans. The discriminant of a quadratic equation is a term used to determine the nature and number of solutions it has. It is calculated using the formula discriminant = b^2 - 4ac. If the discriminant is positive, the equation has two distinct real solutions. If it is zero, the equation has one real solution (a perfect square). And if the discriminant is negative, the equation has no real solutions, but two complex solutions.
| 5. Can a quadratic equation have a negative discriminant and still have real solutions? | |
Ans. No, a quadratic equation cannot have a negative discriminant and still have real solutions. When the discriminant is negative, the equation only has two complex solutions. In order to have real solutions, the discriminant must be either positive or zero.
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Nov 06, 2024 Last updated |
Video Description: Straight Lines - 1 for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation.
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