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11 results found for "a value" in Class 10.

Question Easy Mathematics Quadratic Equations Roots of a Quadratic Equation Class 10 Level 31

किसी द्विघात समीकरण का मूल किसे कहते हैं?

What is called a root of a quadratic equation?

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Correct Answer

A. वह मान जिससे समीकरण सत्य होThe value that satisfies the equation

Step 1

Concept

A root is a value that makes the equation equal to (0). In exams first substitute the value and check.

Step 2

Why this answer is correct

The correct answer is A. वह मान जिससे समीकरण सत्य हो / The value that satisfies the equation. A root is a value that makes the equation equal to (0). In exams first substitute the value and check.

Step 3

Exam Tip

मूल वह मान है जिसे रखने पर समीकरण का मान (0) हो जाता है। परीक्षा में पहले मान रखकर जांचें।

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Question Medium Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

किस समीकरण में (x=1) मूल नहीं है?

In which equation is (x=1) not a root?

Explanation opens after your attempt
Correct Answer

D. \(x^2+x+1=0\)

Step 1

Concept

Putting (x=1) gives \(1+1+1=3\neq 0\). To check when a value is not a root, use substitution too.

Step 2

Why this answer is correct

The correct answer is D. \(x^2+x+1=0\). Putting (x=1) gives \(1+1+1=3\neq 0\). To check when a value is not a root, use substitution too.

Step 3

Exam Tip

(x=1) रखने पर \(1+1+1=3\neq 0\) मिलता है। किसी विकल्प में मूल न होने की जांच भी प्रतिस्थापन से करें।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 30

यदि \(\alpha\) समीकरण (p(x)=0) का मूल है तो कौन-सा कथन सही है?

If \(\alpha\) is a root of (p(x)=0), which statement is correct?

Explanation opens after your attempt
Correct Answer

B. (p\(\alpha\)=0)

Step 1

Concept

A root is a value that makes the left side of the equation (0). Therefore (p\(\alpha\)=0) is correct.

Step 2

Why this answer is correct

The correct answer is B. (p\(\alpha\)=0). A root is a value that makes the left side of the equation (0). Therefore (p\(\alpha\)=0) is correct.

Step 3

Exam Tip

मूल वह मान है जिसे रखने पर समीकरण का बायां पक्ष (0) हो जाता है। इसलिए (p\(\alpha\)=0) सही है।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(-2x^2+5x-1=0\) में (a) का मान क्या है?

What is the value of (a) in \(-2x^2+5x-1=0\)?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

The coefficient of \(x^2\) is (-2). So in standard form (a=-2).

Step 2

Why this answer is correct

The correct answer is B. (-2). The coefficient of \(x^2\) is (-2). So in standard form (a=-2).

Step 3

Exam Tip

\(x^2\) का गुणांक (-2) है। इसलिए मानक रूप में (a=-2) है।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

समीकरण \(7x^2+2x-5=0\) में (a) का मान क्या है?

What is the value of (a) in \(7x^2+2x-5=0\)?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

In \(ax^2+bx+c=0\), (a) is the coefficient of \(x^2\). So (a=7).

Step 2

Why this answer is correct

The correct answer is A. (7). In \(ax^2+bx+c=0\), (a) is the coefficient of \(x^2\). So (a=7).

Step 3

Exam Tip

मानक रूप \(ax^2+bx+c=0\) में (a) \(x^2\) का गुणांक होता है। इसलिए (a=7) है।

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Question Easy Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 28

समीकरण \(-x^2+3x+10=0\) में (a) का मान क्या है?

What is the value of (a) in \(-x^2+3x+10=0\)?

Explanation opens after your attempt
Correct Answer

B. \(-1\)

Step 1

Concept

The coefficient of \(-x^2\) is (-1). So (a=-1).

Step 2

Why this answer is correct

The correct answer is B. \(-1\). The coefficient of \(-x^2\) is (-1). So (a=-1).

Step 3

Exam Tip

\(-x^2\) का गुणांक (-1) होता है। इसलिए (a=-1) है।

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Question Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

एक बहुपद का ग्राफ (x)-अक्ष को नहीं काटता, पर (p(1)=4) और (p(3)=9) हैं। सही निष्कर्ष क्या है?

A polynomial graph does not cut the (x)-axis, but (p(1)=4) and (p(3)=9). What is the correct conclusion?

Explanation opens after your attempt
Correct Answer

C. कोई वास्तविक शून्यक नहीं हैThere is no real zero

Step 1

Concept

The graph does not meet the (x)-axis and the given values are not zero. Tip: do not call a value a zero unless the function value is (0).

Step 2

Why this answer is correct

The correct answer is C. कोई वास्तविक शून्यक नहीं है / There is no real zero. The graph does not meet the (x)-axis and the given values are not zero. Tip: do not call a value a zero unless the function value is (0).

Step 3

Exam Tip

ग्राफ (x)-अक्ष से नहीं मिलता और दिए गए मान भी शून्य नहीं हैं। टिप: फलन मान (0) न हो तो शून्यक न मानें।

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Question Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किस स्थिति में (x=2) बहुपद (p(x)) का शून्यक कहलाएगा?

In which situation will (x=2) be called a zero of polynomial (p(x))?

Explanation opens after your attempt
Correct Answer

A. जब (p(2)=0) होWhen (p(2)=0)

Step 1

Concept

A value is called a zero only when the polynomial value at that point is (0). So for (x=2), (p(2)=0) is required.

Step 2

Why this answer is correct

The correct answer is A. जब (p(2)=0) हो / When (p(2)=0). A value is called a zero only when the polynomial value at that point is (0). So for (x=2), (p(2)=0) is required.

Step 3

Exam Tip

किसी मान को शून्यक तभी कहते हैं जब उस पर बहुपद का मान (0) हो। इसलिए (x=2) के लिए (p(2)=0) होना चाहिए।

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Question Medium Mathematics Real Numbers 3: Prime factorisation Class 10 Level 11

(168) के अभाज्य गुणनखंडन में (2) की घात कितनी है?

What is the exponent of (2) in the prime factorisation of (168)?

Explanation opens after your attempt
Correct Answer

B. 3

Step 1

Concept

Write (168) as \(8 \times 21\).

Step 2

Why this answer is correct

\(8=2^3\) and \(21=3 \times 7\), so \(168=2^3 \times 3 \times 7\).

Step 3

Exam Tip

To find the required exponent, you do not need to calculate any extra value. चरण 1: (168) को \(8 \times 21\) के रूप में लिखें। चरण 2: \(8=2^3\) और \(21=3 \times 7\), इसलिए \(168=2^3 \times 3 \times 7\)। चरण 3: मांगी गई घात के लिए पूरी संख्या का मान निकालना जरूरी नहीं होता।

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Question Easy Social Science Chapter 1: The Rise of Nationalism in Europe The Age of Revolutions: 1830-1848 Class 10 Level 5

प्रशा के राजा ने फ्रैंकफर्ट संसद द्वारा दिया गया ताज क्यों अस्वीकार किया?

Why did the King of Prussia reject the crown offered by the Frankfurt Parliament?

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Correct Answer

A. क्योंकि वह निर्वाचित प्रतिनिधियों से ताज नहीं लेना चाहता थाBecause he did not want a crown from elected representatives

Step 1

Concept

The offer came from a parliament of representatives.

Step 2

Why this answer is correct

The King of Prussia valued royal authority above popular authority.

Step 3

Exam Tip

This shows the limits of the liberal effort. चरण 1: प्रस्ताव जनता के प्रतिनिधियों की संसद से आया था। चरण 2: प्रशा का राजा राजसी अधिकार को जनता से ऊपर मानता था। चरण 3: इससे उदारवादी प्रयास की सीमा दिखाई देती है।

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Question Expert Science Chemical Substances – Nature and Behaviour Acids, Bases, and Salts Class 10 Level 8

यदि अम्लीय विलयन का अम्लता मान बढ़ता है लेकिन वह सात से कम रहता है, तो इसका क्या अर्थ है?

If the pH value of an acidic solution increases but remains below seven, what does it mean?

Explanation opens after your attempt
Correct Answer

A. विलयन कम अम्लीय हुआ पर अभी भी अम्लीय हैThe solution became less acidic but is still acidic

Step 1

Concept

A value below seven indicates an acidic solution.

Step 2

Why this answer is correct

An increase in pH means acidity decreases.

Step 3

Exam Tip

If it is still below seven, the solution remains acidic. चरण 1: सात से कम मान अम्लीय विलयन का संकेत है। चरण 2: मान बढ़ने पर अम्लीयता घटती है। चरण 3: यदि मान अभी भी सात से कम है तो विलयन अम्लीय ही रहेगा।

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