Hard Mathematics Polynomials Class 10 Level 23

यदि (p(x)=x-2+cx+c-2) और \(c\neq0\), तो ग्राफ (x)-अक्ष को क्यों नहीं काटेगा?

If (p(x)=x-2+cx+c-2) and \(c\neq0\), why will the graph not cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. क्योंकि इसका विविक्तकर ऋणात्मक हैBecause its discriminant is negative

Step 1

Concept

The discriminant is \(c^2-4c^2=-3c^2<0\), so there are no real zeroes. Tip: a negative discriminant means no (x)-axis intersection.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि इसका विविक्तकर ऋणात्मक है / Because its discriminant is negative. The discriminant is \(c^2-4c^2=-3c^2<0\), so there are no real zeroes. Tip: a negative discriminant means no (x)-axis intersection.

Step 3

Exam Tip

विविक्तकर \(c^2-4c^2=-3c^2<0\) है, इसलिए वास्तविक शून्यक नहीं हैं। टिप: ऋणात्मक विविक्तकर का अर्थ (x)-अक्ष कटान नहीं है।

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Mathematics Answer, Explanation and Revision Hints

यदि (p(x)=x-2+cx+c-2) और \(c\neq0\), तो ग्राफ (x)-अक्ष को क्यों नहीं काटेगा? / If (p(x)=x-2+cx+c-2) and \(c\neq0\), why will the graph not cut the (x)-axis?

Correct Answer: A. क्योंकि इसका विविक्तकर ऋणात्मक है / Because its discriminant is negative. Explanation: विविक्तकर \(c^2-4c^2=-3c^2<0\) है, इसलिए वास्तविक शून्यक नहीं हैं। टिप: ऋणात्मक विविक्तकर का अर्थ (x)-अक्ष कटान नहीं है। / The discriminant is \(c^2-4c^2=-3c^2<0\), so there are no real zeroes. Tip: a negative discriminant means no (x)-axis intersection.

Which concept should I revise for this Mathematics MCQ?

The discriminant is \(c^2-4c^2=-3c^2<0\), so there are no real zeroes. Tip: a negative discriminant means no (x)-axis intersection.

What exam hint can help solve this Mathematics question?

विविक्तकर \(c^2-4c^2=-3c^2<0\) है, इसलिए वास्तविक शून्यक नहीं हैं। टिप: ऋणात्मक विविक्तकर का अर्थ (x)-अक्ष कटान नहीं है।

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