Concept-wise Practice

rational distinct roots MCQ Questions for Class 10

rational distinct roots se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with rational distinct roots.

यदि (x-2-2(a+4)x+a-2+8a+15=0) है, तो मूलों की प्रकृति क्या होगी?

If (x-2-2(a+4)x+a-2+8a+15=0), what will be the nature of roots?

Explanation opens after your attempt
Correct Answer

A. हमेशा वास्तविक, परिमेय और भिन्नAlways real, rational and distinct

Step 1

Concept

Here (D=4(a+4)2-4\(a^2+8a+15\)=4). Therefore roots are always real, rational and distinct.

Step 2

Why this answer is correct

The correct answer is A. हमेशा वास्तविक, परिमेय और भिन्न / Always real, rational and distinct. Here (D=4(a+4)2-4\(a^2+8a+15\)=4). Therefore roots are always real, rational and distinct.

Step 3

Exam Tip

यहाँ (D=4(a+4)2-4\(a^2+8a+15\)=4) है। इसलिए मूल हमेशा वास्तविक, परिमेय और भिन्न हैं।

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समीकरण \(3x^2-5x+2=0\) के मूलों की प्रकृति क्या है?

What is the nature of roots of \(3x^2-5x+2=0\)?

Explanation opens after your attempt
Correct Answer

A. वास्तविक, परिमेय और भिन्नReal, rational and distinct

Step 1

Concept

(D=1) is a positive perfect square. Therefore the roots are real, rational and distinct.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक, परिमेय और भिन्न / Real, rational and distinct. (D=1) is a positive perfect square. Therefore the roots are real, rational and distinct.

Step 3

Exam Tip

(D=1) धनात्मक पूर्ण वर्ग है। इसलिए मूल वास्तविक, परिमेय और भिन्न हैं।

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