Class 10 alpha MCQ Questions

Question 1/1 Hard Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

यदि (x^-2-2\(\alpha+2\)x+\alpha^-2=0) के मूल वास्तविक और भिन्न हैं, तो \(\alpha\) पर शर्त क्या है?

If (x^-2-2\(\alpha+2\)x+\alpha^-2=0) has real and distinct roots, what is the condition on \(\alpha\)?

Explanation opens after your attempt

Correct Answer

A. \(\alpha>-1\)

Step 1

Concept

(D=4\(\alpha+2\)²-4\alpha^-2=16\(\alpha+1\)). From (D>0), \(\alpha>-1\).

Step 2

Why this answer is correct

The correct answer is A. \(\alpha>-1\). (D=4\(\alpha+2\)²-4\alpha^-2=16\(\alpha+1\)). From (D>0), \(\alpha>-1\).

Step 3

Exam Tip

(D=4\(\alpha+2\)²-4\alpha^-2=16\(\alpha+1\)) है। (D>0) से \(\alpha>-1\) मिलता है।

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Nature of Roots
Difficulty: Hard
Level: 37

Question Hindi:
यदि (x^2-2(\alpha+2)x+\alpha^2=0) के मूल वास्तविक और भिन्न हैं, तो (\alpha) पर शर्त क्या है?

Question English:
If (x^2-2(\alpha+2)x+\alpha^2=0) has real and distinct roots, what is the condition on (\alpha)?

Options:
A. (\alpha>-1)
B. (\alpha<-1)
C. (\alpha=-1)
D. (\alpha>2) केवल / (\alpha>2) only

Correct Answer:
A. (\alpha>-1)

Explanation Hindi:
(D=4(\alpha+2)^2-4\alpha^2=16(\alpha+1)) है। (D>0) से (\alpha>-1) मिलता है।

Explanation English:
(D=4(\alpha+2)^2-4\alpha^2=16(\alpha+1)). From (D>0), (\alpha>-1).

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alpha MCQ Questions for Class 10

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यदि (x^-2-2\(\alpha+2\)x+\alpha^-2=0) के मूल वास्तविक और भिन्न हैं, तो \(\alpha\) पर शर्त क्या है?

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alpha MCQ Questions for Class 10

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यदि (x-2-2\(\alpha+2\)x+\alpha-2=0) के मूल वास्तविक और भिन्न हैं, तो \(\alpha\) पर शर्त क्या है?

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यदि (x^-2-2\(\alpha+2\)x+\alpha^-2=0) के मूल वास्तविक और भिन्न हैं, तो \(\alpha\) पर शर्त क्या है?