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A parabola intersects a line at most in two points.Question 1Answera.Trueb.False

Question

A parabola intersects a line at most in two points.

Question 1

Answer

a. True
b. False

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Solution

Answer

The correct answer is: a. True

Explanation

A parabola is a quadratic curve represented by the equation y=ax2+bx+cy = ax^2 + bx + c, and a line is typically represented by the equation y=mx+by = mx + b. When you set these two equations equal to each other to find their points of intersection, it results in a quadratic equation:

ax2+(bm)x+(cb)=0 ax^2 + (b - m)x + (c - b) = 0

A quadratic equation can have at most two real solutions (or points of intersection). Hence, a parabola can intersect a line at most in two points.

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