Linear Programming Basics for Competitive Exam Success

Linear Programming Basics

Q. What is the product of the roots of the quadratic equation x^2 + 5x + 6 = 0?

Solution

Step 1: Use the product of roots formula c/a. Here, c = 6, a = 1. Step 2: Product = 6/1 = 6.

Correct Answer: A — 6

Q. What is the slope of the line represented by the equation 4x - 2y = 8?

Solution

Rearranging to slope-intercept form: y = 2x - 4. The slope is 2.

Correct Answer: C — -2

Q. What is the solution to the system of equations: 2x + y = 10 and x - y = 2?

Solution

From x - y = 2, we get y = x - 2. Substituting into the first equation gives x = 4, y = 2.

Correct Answer: A — (4, 2)

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