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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि एक परवलय (x)-अक्ष को ((-2,0)) और ((6,0)) पर काटता है तो उसका सममिति अक्ष किस (x)-मान से गुजर सकता है?

If a parabola cuts the (x)-axis at ((-2,0)) and ((6,0)), through which (x)-value can its axis of symmetry pass?

Explanation opens after your attempt
Correct Answer

B. (x=2)

Step 1

Concept

The axis of symmetry passes through the midpoint of zeroes, \(\frac{-2+6}{2}=2\). Tip: the average of two zeroes is useful for a parabola.

Step 2

Why this answer is correct

The correct answer is B. (x=2). The axis of symmetry passes through the midpoint of zeroes, \(\frac{-2+6}{2}=2\). Tip: the average of two zeroes is useful for a parabola.

Step 3

Exam Tip

सममिति अक्ष शून्यकों के मध्य से गुजरता है, \(\frac{-2+6}{2}=2\)। टिप: परवलय में दो शून्यकों का औसत उपयोगी होता है।

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