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discriminant-comparison MCQ Questions for Class 10

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2 questions tagged with discriminant-comparison.

Question 1/2 Hard Mathematics Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 27

यदि (p(x)=x-2-14x+45) और (q(x)=x-2-14x+43), तो कौन सा कथन सही है?

If (p(x)=x-2-14x+45) and (q(x)=x-2-14x+43), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. (p(x)) के शून्यक परिमेय हैं और (q(x)) के अपरिमेय वास्तविक हैंZeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real

Step 1

Concept

For (p(x)), (D=16) is a perfect square, and for (q(x)), (D=24) is positive but not a perfect square. Thus the first has rational and the second irrational real zeroes.

Step 2

Why this answer is correct

The correct answer is A. (p(x)) के शून्यक परिमेय हैं और (q(x)) के अपरिमेय वास्तविक हैं / Zeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real. For (p(x)), (D=16) is a perfect square, and for (q(x)), (D=24) is positive but not a perfect square. Thus the first has rational and the second irrational real zeroes.

Step 3

Exam Tip

(p(x)) के लिए (D=16) पूर्ण वर्ग है और (q(x)) के लिए (D=24) धनात्मक अपूर्ण वर्ग है। इसलिए पहला परिमेय और दूसरा अपरिमेय वास्तविक है।

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Question 2/2 Hard Mathematics Chapter 2: Polynomials Irrational numbers and real numbers Class 10 Level 27

यदि (p(x)=x-2-14x+45) और (q(x)=x-2-14x+40), तो कौन सा कथन सही है?

If (p(x)=x-2-14x+45) and (q(x)=x-2-14x+40), which statement is correct?

Explanation opens after your attempt
Correct Answer

A. (p(x)) के शून्यक परिमेय हैं और (q(x)) के अपरिमेय वास्तविक हैंZeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real

Step 1

Concept

For (p(x)), (D=196-180=16), while for (q(x)), (D=196-160=36), so both are rational. Therefore the listed intended contrast is not valid.

Step 2

Why this answer is correct

The correct answer is A. (p(x)) के शून्यक परिमेय हैं और (q(x)) के अपरिमेय वास्तविक हैं / Zeroes of (p(x)) are rational and zeroes of (q(x)) are irrational real. For (p(x)), (D=196-180=16), while for (q(x)), (D=196-160=36), so both are rational. Therefore the listed intended contrast is not valid.

Step 3

Exam Tip

(p(x)) के लिए (D=196-180=16), जबकि (q(x)) के लिए (D=196-160=36) है, इसलिए दोनों परिमेय हैं। इसलिए सही कथन विकल्प में नहीं है।

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