Question 1/10
Medium Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
किस समीकरण में मूलों का योग (0) होगा?
Which equation will have sum of roots (0)?
#quadratic-equations
#sum-of-roots
#pure-quadratic
#medium
A \(x^2-36=0\)
B \(x^2+6x+9=0\)
C \(x^2-6x+9=0\)
D \(x^2+x-36=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-36=0\)
Step 1
Concept
In \(x^2-36=0\), (b=0), so the sum of roots is \(-\frac{b}{a}=0\). If the (x) term is absent, the sum can be (0).
Step 2
Why this answer is correct
The correct answer is A. \(x^2-36=0\). In \(x^2-36=0\), (b=0), so the sum of roots is \(-\frac{b}{a}=0\). If the (x) term is absent, the sum can be (0).
Step 3
Exam Tip
\(x^2-36=0\) में (b=0), इसलिए मूलों का योग \(-\frac{b}{a}=0\) है। (x) पद अनुपस्थित हो तो योग (0) हो सकता है।
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Question 2/10
Medium Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
किस विकल्प में (x) पद अनुपस्थित है लेकिन समीकरण द्विघात है?
In which option is the (x) term absent but the equation is quadratic?
#quadratic-equations
#missing-linear-term
#pure-quadratic
#medium
A \(3x^2-27=0\)
B (3x-27=0)
C \(3x^3-27=0\)
D \(\frac{3}{x^2}-27=0\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2-27=0\)
Step 1
Concept
In \(3x^2-27=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without the (x) term.
Step 2
Why this answer is correct
The correct answer is A. \(3x^2-27=0\). In \(3x^2-27=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without the (x) term.
Step 3
Exam Tip
\(3x^2-27=0\) में \(x^2\) पद है और (x) पद अनुपस्थित है। (x) पद न होने पर भी समीकरण द्विघात हो सकता है।
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Question 3/10
Medium Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
किस विकल्प में द्विघात समीकरण का (x) वाला पद अनुपस्थित है लेकिन समीकरण द्विघात है?
In which option is the (x) term absent but the equation is still quadratic?
#quadratic-equations
#missing-linear-term
#pure-quadratic
#medium
A \(x^2-49=0\)
B (7x-49=0)
C \(x^3-49=0\)
D \(\frac{1}{x^2}-49=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-49=0\)
Step 1
Concept
In \(x^2-49=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without an (x) term.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-49=0\). In \(x^2-49=0\), the \(x^2\) term is present and the (x) term is absent. An equation can be quadratic even without an (x) term.
Step 3
Exam Tip
\(x^2-49=0\) में \(x^2\) पद है और (x) पद अनुपस्थित है। (x) पद न होने पर भी समीकरण द्विघात हो सकता है।
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Question 4/10
Medium Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
किस समीकरण के दोनों मूल विपरीत संख्याएँ होंगे?
Which equation will have roots that are opposite numbers?
#quadratic-equations
#opposite-roots
#pure-quadratic
#medium
A \(x^2-16=0\)
B \(x^2+4x+4=0\)
C \(x^2-5x+6=0\)
D \(x^2+x-6=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-16=0\)
Step 1
Concept
\(x^2-16=0\) gives \(x=\pm4\), which are opposite numbers. Pure quadratics often give opposite roots.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-16=0\). \(x^2-16=0\) gives \(x=\pm4\), which are opposite numbers. Pure quadratics often give opposite roots.
Step 3
Exam Tip
\(x^2-16=0\) से \(x=\pm4\) मिलता है, जो विपरीत संख्याएँ हैं। शुद्ध द्विघात में अक्सर विपरीत मूल मिलते हैं।
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Question 5/10
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
क्या \(2x^2=0\) एक द्विघात समीकरण है?
Is \(2x^2=0\) a quadratic equation?
#quadratic-equations
#pure-quadratic
#identify
A नहीं क्योंकि केवल एक पद है / No because it has only one term
B नहीं क्योंकि (x) पद नहीं है / No because there is no (x) term
C नहीं क्योंकि स्थिर पद नहीं है / No because there is no constant term
D हाँ क्योंकि \(x^2\) का गुणांक (2) है / Yes because the coefficient of \(x^2\) is (2)
Explanation opens after your attempt
Correct Answer
D. हाँ क्योंकि \(x^2\) का गुणांक (2) है / Yes because the coefficient of \(x^2\) is (2)
Step 1
Concept
In \(2x^2=0\), the coefficient of \(x^2\) is \(2\neq 0\). It can be quadratic even without linear and constant terms.
Step 2
Why this answer is correct
The correct answer is D. हाँ क्योंकि \(x^2\) का गुणांक (2) है / Yes because the coefficient of \(x^2\) is (2). In \(2x^2=0\), the coefficient of \(x^2\) is \(2\neq 0\). It can be quadratic even without linear and constant terms.
Step 3
Exam Tip
\(2x^2=0\) में \(x^2\) का गुणांक \(2\neq 0\) है। रैखिक और स्थिर पद न होने पर भी यह द्विघात हो सकता है।
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Question 6/10
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30
निम्न में से शुद्ध द्विघात समीकरण कौन-सा है?
Which of the following is a pure quadratic equation?
#quadratic-equations
#pure-quadratic
#easy
A \(x^2+2x+1=0\)
B (3x+9=0)
C \(4x^2-9=0\)
D \(x^3-1=0\)
Explanation opens after your attempt
Correct Answer
C. \(4x^2-9=0\)
Step 1
Concept
A pure quadratic equation has no (x) term. In \(4x^2-9=0\), the linear term is absent.
Step 2
Why this answer is correct
The correct answer is C. \(4x^2-9=0\). A pure quadratic equation has no (x) term. In \(4x^2-9=0\), the linear term is absent.
Step 3
Exam Tip
शुद्ध द्विघात में (x) वाला पद नहीं होता है। \(4x^2-9=0\) में रैखिक पद अनुपस्थित है।
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Question 7/10
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
कौन सा समीकरण शुद्ध द्विघात समीकरण है?
Which equation is a pure quadratic equation?
#quadratic equations
#pure quadratic
#recognition
A \(4x^2-16=0\)
B \(x^2+5x+6=0\)
C (x+16=0)
D \(x^3-16=0\)
Explanation opens after your attempt
Correct Answer
A. \(4x^2-16=0\)
Step 1
Concept
A pure quadratic has no linear (x) term. \(4x^2-16=0\) is such an equation.
Step 2
Why this answer is correct
The correct answer is A. \(4x^2-16=0\). A pure quadratic has no linear (x) term. \(4x^2-16=0\) is such an equation.
Step 3
Exam Tip
शुद्ध द्विघात में (x) वाला रैखिक पद नहीं होता। \(4x^2-16=0\) ऐसा समीकरण है।
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Question 8/10
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29
समीकरण \(12x^2=0\) के लिए (a), (b), (c) क्रमशः क्या हैं?
For \(12x^2=0\), what are (a), (b), (c) respectively?
#quadratic equations
#coefficients
#pure quadratic
A (12,0,0)
B (0,12,0)
C (12,1,0)
D (0,0,12)
Explanation opens after your attempt
Correct Answer
A. (12,0,0)
Step 1
Concept
It is written as \(12x^2+0x+0=0\). Therefore (a=12), (b=0), (c=0).
Step 2
Why this answer is correct
The correct answer is A. (12,0,0). It is written as \(12x^2+0x+0=0\). Therefore (a=12), (b=0), (c=0).
Step 3
Exam Tip
इसे \(12x^2+0x+0=0\) लिखा जाता है। इसलिए (a=12), (b=0), (c=0) हैं।
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Question 9/10
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
कौन सा समीकरण \(x^2+5=0\) की तरह शुद्ध द्विघात है?
Which equation is a pure quadratic like \(x^2+5=0\)?
#quadratic equations
#pure quadratic
#recognition
A \(x^2-9=0\)
B \(x^2+3x+2=0\)
C (x+9=0)
D \(x^3-9=0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-9=0\)
Step 1
Concept
A pure quadratic has no linear (x) term. \(x^2-9=0\) is of that type.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-9=0\). A pure quadratic has no linear (x) term. \(x^2-9=0\) is of that type.
Step 3
Exam Tip
शुद्ध द्विघात में (x) वाला रैखिक पद नहीं होता। \(x^2-9=0\) ऐसा ही है।
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Question 10/10
Easy Mathematics
Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28
समीकरण \(6x^2=0\) के लिए (a), (b), (c) क्रमशः क्या हैं?
For \(6x^2=0\), what are (a), (b), (c) respectively?
#quadratic equations
#coefficients
#pure quadratic
A (6,0,0)
B (0,6,0)
C (6,1,0)
D (0,0,6)
Explanation opens after your attempt
Correct Answer
A. (6,0,0)
Step 1
Concept
It is written as \(6x^2+0x+0=0\). Therefore (a=6), (b=0), (c=0).
Step 2
Why this answer is correct
The correct answer is A. (6,0,0). It is written as \(6x^2+0x+0=0\). Therefore (a=6), (b=0), (c=0).
Step 3
Exam Tip
इसे \(6x^2+0x+0=0\) लिखा जाता है। इसलिए (a=6), (b=0), (c=0) हैं।
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