Question 1/4
Medium Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33
यदि मूलों का योग (0) और गुणनफल (-36) है तो मोनिक समीकरण कौन सा होगा?
If the sum of roots is (0) and product is (-36), which monic equation is formed?
#roots
#equation_from_sum_product
#zero_sum
A \(x^2-36=0\)
B \(x^2+36=0\)
C \(x^2-36x=0\)
D \(x^2+36x=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-36=0\)
Step 1
Concept
The monic equation is (x-2 -(0)x+(-36)=0). Therefore \(x^2-36=0\) is correct.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-36=0\). The monic equation is (x-2 -(0)x+(-36)=0). Therefore \(x^2-36=0\) is correct.
Step 3
Exam Tip
मोनिक समीकरण (x-2 -(0)x+(-36)=0) होगा। इसलिए \(x^2-36=0\) सही है।
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Question 2/4
Medium Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 33
यदि किसी द्विघात समीकरण के मूलों का योग (0) है तो मूलों के बारे में सही कथन कौन सा हो सकता है?
If the sum of roots of a quadratic equation is (0), which statement about the roots can be correct?
#roots
#zero_sum
#reasoning
A मूल एक दूसरे के विपरीत हैं / The roots are opposites of each other
B दोनों मूल हमेशा (1) हैं / Both roots are always (1)
C दोनों मूल हमेशा धनात्मक हैं / Both roots are always positive
D मूलों का गुणनफल हमेशा (0) है / The product is always (0)
Explanation opens after your attempt
Correct Answer
A. मूल एक दूसरे के विपरीत हैं / The roots are opposites of each other
Step 1
Concept
If \(\alpha+\beta=0\), then \(\beta=-\alpha\). Therefore the roots can be opposites.
Step 2
Why this answer is correct
The correct answer is A. मूल एक दूसरे के विपरीत हैं / The roots are opposites of each other. If \(\alpha+\beta=0\), then \(\beta=-\alpha\). Therefore the roots can be opposites.
Step 3
Exam Tip
यदि \(\alpha+\beta=0\) है तो \(\beta=-\alpha\) होता है। इसलिए मूल विपरीत हो सकते हैं।
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Question 3/4
Medium Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 32
यदि मूलों का योग (0) और गुणनफल (-25) है तो मोनिक समीकरण कौन सा होगा?
If the sum of roots is (0) and product is (-25), which monic equation is formed?
#roots
#equation_from_sum_product
#zero_sum
A \(x^2-25=0\)
B \(x^2+25=0\)
C \(x^2-25x=0\)
D \(x^2+25x=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-25=0\)
Step 1
Concept
The monic equation is (x-2 -(0)x+(-25)=0). Therefore \(x^2-25=0\) is correct.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-25=0\). The monic equation is (x-2 -(0)x+(-25)=0). Therefore \(x^2-25=0\) is correct.
Step 3
Exam Tip
मोनिक समीकरण (x-2 -(0)x+(-25)=0) होगा। इसलिए \(x^2-25=0\) सही है।
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Question 4/4
Medium Mathematics
Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31
यदि मूलों का योग (0) और गुणनफल (-16) है तो मोनिक समीकरण कौन सा होगा?
If the sum of roots is (0) and product is (-16), which monic equation is formed?
#roots
#equation_from_sum_product
#zero_sum
A \(x^2-16=0\)
B \(x^2+16=0\)
C \(x^2-16x=0\)
D \(x^2+16x=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-16=0\)
Step 1
Concept
The monic equation is (x-2 -(0)x+(-16)=0). Therefore \(x^2-16=0\) is correct.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-16=0\). The monic equation is (x-2 -(0)x+(-16)=0). Therefore \(x^2-16=0\) is correct.
Step 3
Exam Tip
मोनिक समीकरण (x-2 -(0)x+(-16)=0) होगा। इसलिए \(x^2-16=0\) सही है।
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