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6 results found for "minus" in Class 10.

Question Medium Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

यदि \(S_n=5n^2-n\), तो \(S_{9}\) का मान क्या है?

If \(S_n=5n^2-n\), what is the value of \(S_9\)?

Explanation opens after your attempt
Correct Answer

A. (396)

Step 1

Concept

(S_9=5(9)2-9=396). Pay attention to the sign because subtraction is involved.

Step 2

Why this answer is correct

The correct answer is A. (396). (S_9=5(9)2-9=396). Pay attention to the sign because subtraction is involved.

Step 3

Exam Tip

(S_9=5(9)2-9=396)। संकेत का ध्यान रखें क्योंकि यहाँ घटाव है।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

समीकरण (3x-y=7) में (x=3) रखने पर (y) क्या होगा?

In (3x-y=7), if (x=3), what is (y)?

Explanation opens after your attempt
Correct Answer

A. (y=2)

Step 1

Concept

(9-y=7), so (y=2). Be careful while solving a term with a negative sign.

Step 2

Why this answer is correct

The correct answer is A. (y=2). (9-y=7), so (y=2). Be careful while solving a term with a negative sign.

Step 3

Exam Tip

(9-y=7), इसलिए (y=2)। ऋण चिह्न वाले पद को हल करते समय सावधानी रखें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (x-y=6) और (y=2), तो (x) का मान क्या होगा?

If (x-y=6) and (y=2), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=8)

Step 1

Concept

(x-2=6), so (x=8). Put (y) with the correct sign in a subtraction equation.

Step 2

Why this answer is correct

The correct answer is C. (x=8). (x-2=6), so (x=8). Put (y) with the correct sign in a subtraction equation.

Step 3

Exam Tip

(x-2=6), इसलिए (x=8)। घटाव समीकरण में (y) को सही चिह्न के साथ रखें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (2x-y=5) और (x=4), तो (y) का मान ज्ञात करें।

If (2x-y=5) and (x=4), find the value of (y).

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

(8-y=5), so (y=3). When there is a minus sign, balance both sides carefully.

Step 2

Why this answer is correct

The correct answer is B. (y=3). (8-y=5), so (y=3). When there is a minus sign, balance both sides carefully.

Step 3

Exam Tip

(8-y=5), इसलिए (y=3)। समीकरण में ऋण चिह्न हो तो दोनों पक्षों को ध्यान से संतुलित करें।

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Question Hard Mathematics Real Numbers Irrational numbers Class 10 Level 14

कौन-सा विकल्प \(3-\sqrt{2}\) की प्रकृति सही बताता है?

Which option correctly describes the nature of \(3-\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय, क्योंकि परिमेय में से अपरिमेय घटा हैIrrational because an irrational is subtracted from a rational

Step 1

Concept

(3) is rational and \(\sqrt{2}\) is irrational.

Step 2

Why this answer is correct

A rational number minus an irrational number remains irrational.

Step 3

Exam Tip

Do not classify the whole expression by looking only at the rational part. चरण 1: (3) परिमेय है और \(\sqrt{2}\) अपरिमेय है। चरण 2: परिमेय संख्या में से अपरिमेय घटाने पर परिणाम अपरिमेय रहता है। चरण 3: केवल परिमेय पद देखकर पूरे व्यंजक को परिमेय न मानें।

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Question Hard Mathematics Real Numbers Irrational numbers Class 10 Level 14

यदि (r) परिमेय और (s) अपरिमेय है, तो (r-s) कब अपरिमेय होगा?

If (r) is rational and (s) is irrational, when will (r-s) be irrational?

Explanation opens after your attempt
Correct Answer

A. हमेशाAlways

Step 1

Concept

A rational number minus an irrational number is irrational.

Step 2

Why this answer is correct

If (r-s) were rational, then (s=r-(r-s)) would be rational, which is impossible.

Step 3

Exam Tip

Use the same reasoning for subtraction as for addition. चरण 1: परिमेय संख्या में से अपरिमेय संख्या घटाने पर परिणाम अपरिमेय रहता है। चरण 2: यदि (r-s) परिमेय हो, तो (s=r-(r-s)) परिमेय हो जाएगा, जो असंभव है। चरण 3: घटाव में भी वही सोच रखें जो योग में रखते हैं।

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