JIPMAT 2023 (QA) - The graph of a polynomial y = f(x) is shown in figure below, then the number of its zeros is: <img src="https://balti.afterboards.in/bKbZmXAxDAlKPRR" width=300px> | PYQs + Solutions | AfterBoards
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JIPMAT 2023

Algebra
>
Quadratic Equations

Conceptual

The graph of a polynomial y=f(x)y = f(x) is shown in figure below, then the number of its zeros is:

Correct Option: 2
The zeros of a polynomial are the x-coordinates of the points where the graph intersects the x-axis (where y = 0).
Looking at the graph, you can see where it intersects the x-axis:\newline1. One intersection on the left side\newline2. One intersection at the middle\newline3. One intersection on the right side
The curve crosses the x-axis three times, indicating three real zeros.
Therefore, the polynomial has 3 zeros.

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If sin⁡(α)\sin (\alpha) and cos⁡(α)\cos (\alpha) are the roots of the equation ax2+bx+c=0a x^{2}+b x+c=0, then b2b^{2} is

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Match List I with List II. Choose the correct answer from the options given below:

JIPMAT 2023

Given below are two statements:

Statement (I): (x2 + 3x + 1) = (x - 2)2 is not a quadratic equation.

Statement (II): The nature of roots of quadratic equations x2 + 2x√3 + 3 = 0 are real and equal.

In light of the above statements, choose the most appropriate answer from the options given below.

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