Polynomials
Grade Class 10
Question:
<p><strong>Assertion (A):</strong> Zeroes of polynomial 5x<sup>2</sup> – 2x + 1 are reciprocal of each other.<br />
<strong>Reason (R):</strong> Condition for zeroes to be reciprocal of any polynomial of form ax<sup>2</sup> + bx + c is a = c</p>
<p style="display:inline">Both A and R are true and R is the correct explanation of A.</p>
<p style="display:inline">Both A and R are true but R is not the correct explanation of A.</p>
<p style="display:inline">A is true but R is false.</p>
<p style="display:inline">A is false but R is true.</p>
Step-by-Step Solution
Key Concept: For the zeroes of a quadratic polynomial ax^2 + bx + c to be reciprocals of each other, their product (c/a) must equal 1, which implies the condition a = c.
<p>For zeroes of polynomial ax<sup>2</sup> + bx + c to be reciprocal of each other condition is a = c.</p>
Correct Answer: D