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Question Hard Mathematics Quadratic Equations Nature of Roots Class 10 Level 39

द्विघात समीकरण \(x^2-6x+9=0\) का ग्राफ (x)-अक्ष को कितनी बार स्पर्श करेगा?

How many times will the graph of \(x^2-6x+9=0\) touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. (1) बार(1) time

Step 1

Concept

Here (D=(-6)2-4\cdot1\cdot9=0), so the graph touches the (x)-axis once. In exams, (D=0) indicates tangency.

Step 2

Why this answer is correct

The correct answer is B. (1) बार / (1) time. Here (D=(-6)2-4\cdot1\cdot9=0), so the graph touches the (x)-axis once. In exams, (D=0) indicates tangency.

Step 3

Exam Tip

यहां (D=(-6)2-4\cdot1\cdot9=0), इसलिए ग्राफ (x)-अक्ष को एक बार स्पर्श करता है। परीक्षा में (D=0) tangency दिखाता है।

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