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100 results found for "standard goods" in Class 10.

कौन सा बहुपद मानक रूप में अवरोही घातों में लिखा गया है?

Which polynomial is written in standard form with descending powers?

Explanation opens after your attempt
Correct Answer

B. \(5x^3+2x-1\)

Step 1

Concept

In standard form, terms are written from highest power to lowest power. \(5x^3+2x-1\) follows this order.

Step 2

Why this answer is correct

The correct answer is B. \(5x^3+2x-1\). In standard form, terms are written from highest power to lowest power. \(5x^3+2x-1\) follows this order.

Step 3

Exam Tip

मानक रूप में बड़ी घात से छोटी घात की ओर लिखते हैं। \(5x^3+2x-1\) इसी क्रम में है।

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निम्न में से कौन सा बहुपद मानक रूप में व्यवस्थित है?

Which of the following polynomials is arranged in standard form?

Explanation opens after your attempt
Correct Answer

A. \(2x^3+x^2+5x+1\)

Step 1

Concept

In standard form, powers are written in descending order. \(2x^3+x^2+5x+1\) follows this order.

Step 2

Why this answer is correct

The correct answer is A. \(2x^3+x^2+5x+1\). In standard form, powers are written in descending order. \(2x^3+x^2+5x+1\) follows this order.

Step 3

Exam Tip

मानक रूप में घातें घटते क्रम में लिखी जाती हैं। \(2x^3+x^2+5x+1\) में यही क्रम है।

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यदि ((x-7)(x-15)=26), तो मानक द्विघात समीकरण क्या होगा?

If ((x-7)(x-15)=26), what is the standard quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2-22x+79=0\)

Step 1

Concept

((x-7)(x-15)=x-2-22x+105), so \(x^2-22x+105=26\) gives \(x^2-22x+79=0\). In exams, bring all terms to one side after expansion.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-22x+79=0\). ((x-7)(x-15)=x-2-22x+105), so \(x^2-22x+105=26\) gives \(x^2-22x+79=0\). In exams, bring all terms to one side after expansion.

Step 3

Exam Tip

((x-7)(x-15)=x-2-22x+105), इसलिए \(x^2-22x+105=26\) से \(x^2-22x+79=0\) मिलता है। परीक्षा में विस्तार के बाद सभी पद एक तरफ लाएं।

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यदि ((x-6)(x-13)=22), तो मानक द्विघात समीकरण क्या होगा?

If ((x-6)(x-13)=22), what is the standard quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2-19x+56=0\)

Step 1

Concept

((x-6)(x-13)=x-2-19x+78), so \(x^2-19x+78=22\) gives \(x^2-19x+56=0\). In exams, bring all terms to one side after expansion.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-19x+56=0\). ((x-6)(x-13)=x-2-19x+78), so \(x^2-19x+78=22\) gives \(x^2-19x+56=0\). In exams, bring all terms to one side after expansion.

Step 3

Exam Tip

((x-6)(x-13)=x-2-19x+78), इसलिए \(x^2-19x+78=22\) से \(x^2-19x+56=0\) मिलता है। परीक्षा में विस्तार के बाद सभी पद एक तरफ लाएं।

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यदि ((x-5)(x-11)=18), तो मानक द्विघात समीकरण क्या होगा?

If ((x-5)(x-11)=18), what is the standard quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2-16x+37=0\)

Step 1

Concept

((x-5)(x-11)=x-2-16x+55), so \(x^2-16x+55=18\) gives \(x^2-16x+37=0\). In exams, bring all terms to one side after expansion.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-16x+37=0\). ((x-5)(x-11)=x-2-16x+55), so \(x^2-16x+55=18\) gives \(x^2-16x+37=0\). In exams, bring all terms to one side after expansion.

Step 3

Exam Tip

((x-5)(x-11)=x-2-16x+55), इसलिए \(x^2-16x+55=18\) से \(x^2-16x+37=0\) मिलता है। परीक्षा में विस्तार के बाद सभी पद एक तरफ लाएं।

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यदि ((x-4)(x-9)=14), तो मानक द्विघात समीकरण क्या होगा?

If ((x-4)(x-9)=14), what is the standard quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2-13x+22=0\)

Step 1

Concept

((x-4)(x-9)=x-2-13x+36), so \(x^2-13x+36=14\) gives \(x^2-13x+22=0\). In exams, bring all terms to one side after expansion.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-13x+22=0\). ((x-4)(x-9)=x-2-13x+36), so \(x^2-13x+36=14\) gives \(x^2-13x+22=0\). In exams, bring all terms to one side after expansion.

Step 3

Exam Tip

((x-4)(x-9)=x-2-13x+36), इसलिए \(x^2-13x+36=14\) से \(x^2-13x+22=0\) मिलता है। परीक्षा में विस्तार के बाद सभी पद एक तरफ लाएं।

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यदि ((x-3)(x-7)=10), तो मानक द्विघात समीकरण क्या होगा?

If ((x-3)(x-7)=10), what is the standard quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2-10x+11=0\)

Step 1

Concept

((x-3)(x-7)=x-2-10x+21), so \(x^2-10x+21=10\) gives \(x^2-10x+11=0\). In exams, bring all terms to one side after expansion.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-10x+11=0\). ((x-3)(x-7)=x-2-10x+21), so \(x^2-10x+21=10\) gives \(x^2-10x+11=0\). In exams, bring all terms to one side after expansion.

Step 3

Exam Tip

((x-3)(x-7)=x-2-10x+21), इसलिए \(x^2-10x+21=10\) से \(x^2-10x+11=0\) मिलता है। परीक्षा में विस्तार के बाद सभी पद एक तरफ लाएं।

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यदि ((x-2)(x-5)=6), तो मानक द्विघात समीकरण क्या होगा?

If ((x-2)(x-5)=6), what is the standard quadratic equation?

Explanation opens after your attempt
Correct Answer

A. \(x^2-7x+4=0\)

Step 1

Concept

((x-2)(x-5)=x-2-7x+10), so \(x^2-7x+10=6\) gives \(x^2-7x+4=0\). In exams, bring all terms to one side after expansion.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-7x+4=0\). ((x-2)(x-5)=x-2-7x+10), so \(x^2-7x+10=6\) gives \(x^2-7x+4=0\). In exams, bring all terms to one side after expansion.

Step 3

Exam Tip

((x-2)(x-5)=x-2-7x+10), इसलिए \(x^2-7x+10=6\) से \(x^2-7x+4=0\) मिलता है। परीक्षा में विस्तार के बाद सभी पद एक तरफ लाएं।

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\(3x^2+2=11x\) को मानक रूप में लिखने पर क्या मिलेगा?

What is obtained when \(3x^2+2=11x\) is written in standard form?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-11x+2=0\)

Step 1

Concept

Bringing (11x) to the left gives \(3x^2-11x+2=0\). In exams, bring all terms to one side.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-11x+2=0\). Bringing (11x) to the left gives \(3x^2-11x+2=0\). In exams, bring all terms to one side.

Step 3

Exam Tip

(11x) को बाईं ओर लाने पर \(3x^2-11x+2=0\) बनता है। परीक्षा में सभी पदों को एक तरफ लाएं।

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यदि \(5x^2+9x=2\) है, तो मानक रूप में समीकरण क्या होगा?

If \(5x^2+9x=2\), what will be the equation in standard form?

Explanation opens after your attempt
Correct Answer

A. \(5x^2+9x-2=0\)

Step 1

Concept

Bringing (2) to the left gives \(5x^2+9x-2=0\). In exams, make standard form before solving.

Step 2

Why this answer is correct

The correct answer is A. \(5x^2+9x-2=0\). Bringing (2) to the left gives \(5x^2+9x-2=0\). In exams, make standard form before solving.

Step 3

Exam Tip

(2) को बाईं ओर लाने पर \(5x^2+9x-2=0\) मिलता है। परीक्षा में हल करने से पहले मानक रूप बनाएं।

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\(2x^2+1=7x\) को मानक रूप में लिखने पर क्या मिलेगा?

What is obtained when \(2x^2+1=7x\) is written in standard form?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-7x+1=0\)

Step 1

Concept

Bringing (7x) to the left gives \(2x^2-7x+1=0\). In exams, bring all terms to one side.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-7x+1=0\). Bringing (7x) to the left gives \(2x^2-7x+1=0\). In exams, bring all terms to one side.

Step 3

Exam Tip

(7x) को बाईं ओर लाने पर \(2x^2-7x+1=0\) बनता है। परीक्षा में सभी पदों को एक तरफ लाएं।

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यदि \(3x^2+7x=6\) है, तो मानक रूप में समीकरण क्या होगा?

If \(3x^2+7x=6\), what will be the equation in standard form?

Explanation opens after your attempt
Correct Answer

A. \(3x^2+7x-6=0\)

Step 1

Concept

Bringing (6) to the left gives \(3x^2+7x-6=0\). In exams, make standard form before applying any method.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2+7x-6=0\). Bringing (6) to the left gives \(3x^2+7x-6=0\). In exams, make standard form before applying any method.

Step 3

Exam Tip

(6) को बाईं ओर लाने पर \(3x^2+7x-6=0\) मिलता है। परीक्षा में सूत्र लगाने से पहले मानक रूप बनाएं।

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\(4x^2-1=8x\) को मानक रूप में लिखने पर क्या मिलेगा?

What is obtained when \(4x^2-1=8x\) is written in standard form?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-8x-1=0\)

Step 1

Concept

Bringing (8x) to the left gives \(4x^2-8x-1=0\). In exams, do not miss any term while making standard form.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2-8x-1=0\). Bringing (8x) to the left gives \(4x^2-8x-1=0\). In exams, do not miss any term while making standard form.

Step 3

Exam Tip

(8x) को बाईं तरफ लाने पर \(4x^2-8x-1=0\) बनता है। परीक्षा में मानक रूप बनाने से पहले कोई पद न छोड़ें।

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यदि \(2x^2+5x=3\) है, तो मानक रूप \(ax^2+bx+c=0\) में (a,b,c) क्या हैं?

If \(2x^2+5x=3\), what are (a,b,c) in standard form \(ax^2+bx+c=0\)?

Explanation opens after your attempt
Correct Answer

A. (a=2,b=5,c=-3)

Step 1

Concept

The standard form is \(2x^2+5x-3=0\), so (a=2,b=5,c=-3). In exams, bring all terms to one side first.

Step 2

Why this answer is correct

The correct answer is A. (a=2,b=5,c=-3). The standard form is \(2x^2+5x-3=0\), so (a=2,b=5,c=-3). In exams, bring all terms to one side first.

Step 3

Exam Tip

मानक रूप \(2x^2+5x-3=0\) है, इसलिए (a=2,b=5,c=-3) हैं। परीक्षा में सभी पदों को पहले एक तरफ लाएं।

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समीकरण \(\frac{x+3}{x-2}+\frac{x-2}{x+3}=\frac{13}{6}\) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of \(\frac{x+3}{x-2}+\frac{x-2}{x+3}=\frac{13}{6}\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+x-156=0\)

Step 1

Concept

After clearing denominators, (6{(x+3)2+(x-2)2}=13(x+3)(x-2)). Simplifying gives the correct form \(x^2+x-156=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+x-156=0\). After clearing denominators, (6{(x+3)2+(x-2)2}=13(x+3)(x-2)). Simplifying gives the correct form \(x^2+x-156=0\).

Step 3

Exam Tip

हर हटाने पर (6{(x+3)2+(x-2)2}=13(x+3)(x-2)) मिलता है। सरल करने पर \(x^2+x-156=0\) सही रूप है।

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समीकरण ((x+6)2+(x-7)2=(x+3)2) का मानक रूप कौन-सा है?

What is the standard form of ((x+6)2+(x-7)2=(x+3)2)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-14x+76=0\)

Step 1

Concept

Expanding gives left side \(2x^2-2x+85\) and right side \(x^2+6x+9\). Subtracting gives \(x^2-8x+76=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-14x+76=0\). Expanding gives left side \(2x^2-2x+85\) and right side \(x^2+6x+9\). Subtracting gives \(x^2-8x+76=0\).

Step 3

Exam Tip

विस्तार करने पर बाईं ओर \(2x^2-2x+85\) और दाईं ओर \(x^2+6x+9\) है। घटाने पर \(x^2-8x+76=0\) नहीं बल्कि \(x^2-8x+76=0\) मिलता है।

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समीकरण ((x+5)(x+8)+(x-4)(x+7)=110) का मानक रूप कौन-सा है?

What is the standard form of ((x+5)(x+8)+(x-4)(x+7)=110)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+16x-98=0\)

Step 1

Concept

The left side is \(x^2+13x+40+x^2+3x-28=2x^2+16x+12\). Subtracting (110) gives \(2x^2+16x-98=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+16x-98=0\). The left side is \(x^2+13x+40+x^2+3x-28=2x^2+16x+12\). Subtracting (110) gives \(2x^2+16x-98=0\).

Step 3

Exam Tip

बाईं ओर \(x^2+13x+40+x^2+3x-28=2x^2+16x+12\) है। (110) घटाने पर \(2x^2+16x-98=0\) मिलता है।

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समीकरण \(\frac{4x^2-3}{5}+\frac{x-2}{4}=3\) का पूर्णांक गुणांकों वाला मानक रूप कौन-सा है?

What is the standard form with integer coefficients of \(\frac{4x^2-3}{5}+\frac{x-2}{4}=3\)?

Explanation opens after your attempt
Correct Answer

A. \(16x^2+5x-74=0\)

Step 1

Concept

Multiplying the whole equation by (20) gives \(16x^2-12+5x-10=60\). Therefore the standard form is \(16x^2+5x-82=0\).

Step 2

Why this answer is correct

The correct answer is A. \(16x^2+5x-74=0\). Multiplying the whole equation by (20) gives \(16x^2-12+5x-10=60\). Therefore the standard form is \(16x^2+5x-82=0\).

Step 3

Exam Tip

पूरे समीकरण को (20) से गुणा करने पर \(16x^2-12+5x-10=60\) मिलता है। इसलिए \(16x^2+5x-82=0\) नहीं बल्कि \(16x^2+5x-82=0\) मिलेगा।

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समीकरण ((4x-3)(x+5)=2(3x-1)) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((4x-3)(x+5)=2(3x-1))?

Explanation opens after your attempt
Correct Answer

A. \(4x^2+11x-13=0\)

Step 1

Concept

Here ((4x-3)(x+5)=4x-2+17x-15) and (2(3x-1)=6x-2). Bringing all terms to one side gives \(4x^2+11x-13=0\).

Step 2

Why this answer is correct

The correct answer is A. \(4x^2+11x-13=0\). Here ((4x-3)(x+5)=4x-2+17x-15) and (2(3x-1)=6x-2). Bringing all terms to one side gives \(4x^2+11x-13=0\).

Step 3

Exam Tip

((4x-3)(x+5)=4x-2+17x-15) और (2(3x-1)=6x-2) है। सभी पद एक ओर लाने पर \(4x^2+11x-13=0\) मिलता है।

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समीकरण \(\frac{x+2}{x-1}+\frac{x-1}{x+2}=\frac{5}{2}\) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of \(\frac{x+2}{x-1}+\frac{x-1}{x+2}=\frac{5}{2}\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+x-20=0\)

Step 1

Concept

After clearing denominators, (2(x+2)2+2(x-1)2=5(x-1)(x+2)). Simplifying gives the correct form \(x^2+x-20=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+x-20=0\). After clearing denominators, (2(x+2)2+2(x-1)2=5(x-1)(x+2)). Simplifying gives the correct form \(x^2+x-20=0\).

Step 3

Exam Tip

हर हटाने पर (2(x+2)2+2(x-1)2=5(x-1)(x+2)) मिलता है। सरल करने पर \(x^2+x-20=0\) सही रूप है।

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समीकरण ((x+5)2+(x-6)2=(x+2)2) का मानक रूप कौन-सा है?

What is the standard form of ((x+5)2+(x-6)2=(x+2)2)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-10x+57=0\)

Step 1

Concept

Expanding gives left side \(2x^2-2x+61\) and right side \(x^2+4x+4\). Subtracting gives \(x^2-6x+57=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-10x+57=0\). Expanding gives left side \(2x^2-2x+61\) and right side \(x^2+4x+4\). Subtracting gives \(x^2-6x+57=0\).

Step 3

Exam Tip

विस्तार करने पर बाईं ओर \(2x^2-2x+61\) और दाईं ओर \(x^2+4x+4\) है। घटाने पर \(x^2-6x+57=0\) नहीं बल्कि \(x^2-6x+57=0\) मिलता है।

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समीकरण ((x+4)(x+7)+(x-3)(x+6)=88) का मानक रूप कौन-सा है?

What is the standard form of ((x+4)(x+7)+(x-3)(x+6)=88)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+14x-78=0\)

Step 1

Concept

The left side is \(x^2+11x+28+x^2+3x-18=2x^2+14x+10\). Subtracting (88) gives \(2x^2+14x-78=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+14x-78=0\). The left side is \(x^2+11x+28+x^2+3x-18=2x^2+14x+10\). Subtracting (88) gives \(2x^2+14x-78=0\).

Step 3

Exam Tip

बाईं ओर \(x^2+11x+28+x^2+3x-18=2x^2+14x+10\) है। (88) घटाने पर \(2x^2+14x-78=0\) मिलता है।

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समीकरण \(\frac{3x^2+2}{4}-\frac{x-5}{3}=6\) का पूर्णांक गुणांकों वाला मानक रूप कौन-सा है?

What is the standard form with integer coefficients of \(\frac{3x^2+2}{4}-\frac{x-5}{3}=6\)?

Explanation opens after your attempt
Correct Answer

A. \(9x^2-4x-42=0\)

Step 1

Concept

Multiplying the whole equation by (12) gives \(9x^2+6-4x+20=72\). Therefore the standard form is \(9x^2-4x-46=0\).

Step 2

Why this answer is correct

The correct answer is A. \(9x^2-4x-42=0\). Multiplying the whole equation by (12) gives \(9x^2+6-4x+20=72\). Therefore the standard form is \(9x^2-4x-46=0\).

Step 3

Exam Tip

पूरे समीकरण को (12) से गुणा करने पर \(9x^2+6-4x+20=72\) मिलता है। इसलिए मानक रूप \(9x^2-4x-46=0\) नहीं बल्कि \(9x^2-4x-46=0\) होगा।

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समीकरण ((3x-2)(2x+5)=4(x+1)) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((3x-2)(2x+5)=4(x+1))?

Explanation opens after your attempt
Correct Answer

A. \(6x^2+7x-14=0\)

Step 1

Concept

Here ((3x-2)(2x+5)=6x-2+11x-10) and (4(x+1)=4x+4). Bringing all terms to one side gives \(6x^2+7x-14=0\).

Step 2

Why this answer is correct

The correct answer is A. \(6x^2+7x-14=0\). Here ((3x-2)(2x+5)=6x-2+11x-10) and (4(x+1)=4x+4). Bringing all terms to one side gives \(6x^2+7x-14=0\).

Step 3

Exam Tip

((3x-2)(2x+5)=6x-2+11x-10) और (4(x+1)=4x+4) है। सभी पद एक ओर लाने पर \(6x^2+7x-14=0\) मिलता है।

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समीकरण (\frac{(x+1)2}{2}+\frac{(x-3)2}{3}=10) का पूर्णांक गुणांकों वाला मानक रूप कौन-सा है?

What is the standard form with integer coefficients of (\frac{(x+1)2}{2}+\frac{(x-3)2}{3}=10)?

Explanation opens after your attempt
Correct Answer

A. \(5x^2-6x-39=0\)

Step 1

Concept

Multiplying the whole equation by (6) gives (3(x+1)2+2(x-3)2=60). Simplifying gives the correct form \(5x^2-6x-39=0\).

Step 2

Why this answer is correct

The correct answer is A. \(5x^2-6x-39=0\). Multiplying the whole equation by (6) gives (3(x+1)2+2(x-3)2=60). Simplifying gives the correct form \(5x^2-6x-39=0\).

Step 3

Exam Tip

पूरे समीकरण को (6) से गुणा करने पर (3(x+1)2+2(x-3)2=60) मिलता है। सरल करने पर \(5x^2-6x-39=0\) सही रूप है।

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समीकरण ((x-3)2+(x+4)2=(x-1)2) का मानक रूप कौन-सा है?

What is the standard form of ((x-3)2+(x+4)2=(x-1)2)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+4x+24=0\)

Step 1

Concept

Expanding gives left side \(2x^2+2x+25\) and right side \(x^2-2x+1\). Subtracting gives \(x^2+4x+24=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+4x+24=0\). Expanding gives left side \(2x^2+2x+25\) and right side \(x^2-2x+1\). Subtracting gives \(x^2+4x+24=0\).

Step 3

Exam Tip

विस्तार करने पर बाईं ओर \(2x^2+2x+25\) और दाईं ओर \(x^2-2x+1\) है। घटाने पर \(x^2+4x+24=0\) मिलता है।

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समीकरण ((x+3)(x+6)+(x-2)(x+5)=70) का मानक रूप कौन-सा है?

What is the standard form of ((x+3)(x+6)+(x-2)(x+5)=70)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+12x-62=0\)

Step 1

Concept

The left side is \(x^2+9x+18+x^2+3x-10=2x^2+12x+8\). Subtracting (70) gives \(2x^2+12x-62=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+12x-62=0\). The left side is \(x^2+9x+18+x^2+3x-10=2x^2+12x+8\). Subtracting (70) gives \(2x^2+12x-62=0\).

Step 3

Exam Tip

बाईं ओर \(x^2+9x+18+x^2+3x-10=2x^2+12x+8\) है। (70) घटाने पर \(2x^2+12x-62=0\) मिलता है।

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समीकरण \(\frac{2x^2-1}{5}+\frac{x+3}{2}=7\) का पूर्णांक गुणांकों वाला मानक रूप कौन-सा है?

What is the standard form with integer coefficients of \(\frac{2x^2-1}{5}+\frac{x+3}{2}=7\)?

Explanation opens after your attempt
Correct Answer

A. \(4x^2+5x-59=0\)

Step 1

Concept

Multiplying the whole equation by (10) gives \(4x^2-2+5x+15=70\). Therefore the standard form is \(4x^2+5x-57=0\).

Step 2

Why this answer is correct

The correct answer is A. \(4x^2+5x-59=0\). Multiplying the whole equation by (10) gives \(4x^2-2+5x+15=70\). Therefore the standard form is \(4x^2+5x-57=0\).

Step 3

Exam Tip

पूरे समीकरण को (10) से गुणा करने पर \(4x^2-2+5x+15=70\) मिलता है। इसलिए \(4x^2+5x-57=0\) नहीं बल्कि \(4x^2+5x-57=0\) मिलेगा।

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समीकरण ((2x+5)(3x-4)=4(x-1)) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((2x+5)(3x-4)=4(x-1))?

Explanation opens after your attempt
Correct Answer

A. \(6x^2+7x-16=0\)

Step 1

Concept

Here ((2x+5)(3x-4)=6x-2+7x-20) and (4(x-1)=4x-4). Bringing all terms to one side gives \(6x^2+3x-16=0\).

Step 2

Why this answer is correct

The correct answer is A. \(6x^2+7x-16=0\). Here ((2x+5)(3x-4)=6x-2+7x-20) and (4(x-1)=4x-4). Bringing all terms to one side gives \(6x^2+3x-16=0\).

Step 3

Exam Tip

((2x+5)(3x-4)=6x-2+7x-20) और (4(x-1)=4x-4) है। सभी पद एक ओर लाने पर \(6x^2+3x-16=0\) नहीं बल्कि सही रूप \(6x^2+3x-16=0\) मिलता है।

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समीकरण ((x-2)(x+3)+(2x-1)(x-4)=0) का मानक रूप कौन-सा है?

What is the standard form of ((x-2)(x+3)+(2x-1)(x-4)=0)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-8x-2=0\)

Step 1

Concept

Here ((x-2)(x+3)=x-2+x-6) and ((2x-1)(x-4)=2x-2-9x+4). Adding them gives \(3x^2-8x-2=0\).

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-8x-2=0\). Here ((x-2)(x+3)=x-2+x-6) and ((2x-1)(x-4)=2x-2-9x+4). Adding them gives \(3x^2-8x-2=0\).

Step 3

Exam Tip

((x-2)(x+3)=x-2+x-6) और ((2x-1)(x-4)=2x-2-9x+4) है। जोड़ने पर \(3x^2-8x-2=0\) मिलता है।

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समीकरण ((x+2)2+(x-5)2=(x+1)2) का मानक रूप कौन-सा है?

What is the standard form of ((x+2)2+(x-5)2=(x+1)2)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-8x+28=0\)

Step 1

Concept

Expanding gives left side \(2x^2-6x+29\) and right side \(x^2+2x+1\). Subtracting gives \(x^2-8x+28=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-8x+28=0\). Expanding gives left side \(2x^2-6x+29\) and right side \(x^2+2x+1\). Subtracting gives \(x^2-8x+28=0\).

Step 3

Exam Tip

विस्तार करने पर बाईं ओर \(2x^2-6x+29\) और दाईं ओर \(x^2+2x+1\) है। घटाने पर \(x^2-8x+28=0\) मिलता है।

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समीकरण ((x+2)(x+5)+(x-1)(x+4)=60) का मानक रूप कौन-सा है?

What is the standard form of ((x+2)(x+5)+(x-1)(x+4)=60)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+10x-54=0\)

Step 1

Concept

The left side is \(x^2+7x+10+x^2+3x-4=2x^2+10x+6\). Subtracting (60) gives \(2x^2+10x-54=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+10x-54=0\). The left side is \(x^2+7x+10+x^2+3x-4=2x^2+10x+6\). Subtracting (60) gives \(2x^2+10x-54=0\).

Step 3

Exam Tip

बाईं ओर \(x^2+7x+10+x^2+3x-4=2x^2+10x+6\) है। (60) घटाने पर \(2x^2+10x-54=0\) मिलता है।

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समीकरण \(\frac{x^2+1}{3}-\frac{x-2}{2}=5\) को पूर्णांक गुणांकों वाले मानक रूप में लिखिए।

Write \(\frac{x^2+1}{3}-\frac{x-2}{2}=5\) in standard form with integer coefficients.

Explanation opens after your attempt
Correct Answer

A. \(2x^2-3x-22=0\)

Step 1

Concept

Multiplying the whole equation by (6) gives \(2x^2+2-3x+6=30\). Therefore the standard form is \(2x^2-3x-22=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-3x-22=0\). Multiplying the whole equation by (6) gives \(2x^2+2-3x+6=30\). Therefore the standard form is \(2x^2-3x-22=0\).

Step 3

Exam Tip

पूरे समीकरण को (6) से गुणा करने पर \(2x^2+2-3x+6=30\) मिलता है। इसलिए मानक रूप \(2x^2-3x-22=0\) है।

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समीकरण ((6x+1)(x-4)=5x) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((6x+1)(x-4)=5x)?

Explanation opens after your attempt
Correct Answer

A. \(6x^2-28x-4=0\)

Step 1

Concept

Here ((6x+1)(x-4)=6x-2-23x-4), and subtracting (5x) gives \(6x^2-28x-4=0\). First expand and then bring all terms to one side.

Step 2

Why this answer is correct

The correct answer is A. \(6x^2-28x-4=0\). Here ((6x+1)(x-4)=6x-2-23x-4), and subtracting (5x) gives \(6x^2-28x-4=0\). First expand and then bring all terms to one side.

Step 3

Exam Tip

((6x+1)(x-4)=6x-2-23x-4) है और (5x) घटाने पर \(6x^2-28x-4=0\) मिलता है। पहले विस्तार करें फिर सभी पद एक ओर लाएं।

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समीकरण ((x-1)2+(x-2)2=(x-3)2) का मानक रूप कौन-सा है?

What is the standard form of ((x-1)2+(x-2)2=(x-3)2)?

Explanation opens after your attempt
Correct Answer

B. \(x^2-2x-4=0\)

Step 1

Concept

Expanding gives left side \(2x^2-6x+5\) and right side \(x^2-6x+9\). Subtracting gives \(x^2-4=0\).

Step 2

Why this answer is correct

The correct answer is B. \(x^2-2x-4=0\). Expanding gives left side \(2x^2-6x+5\) and right side \(x^2-6x+9\). Subtracting gives \(x^2-4=0\).

Step 3

Exam Tip

विस्तार करने पर बाईं ओर \(2x^2-6x+5\) और दाईं ओर \(x^2-6x+9\) है। घटाने पर \(x^2-4=0\) नहीं बल्कि \(x^2-4=0\) मिलता है।

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समीकरण ((x+1)(x+2)+(x+3)(x+4)=50) का मानक रूप कौन-सा है?

What is the standard form of ((x+1)(x+2)+(x+3)(x+4)=50)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+10x-36=0\)

Step 1

Concept

The left side is \(x^2+3x+2+x^2+7x+12=2x^2+10x+14\). Subtracting (50) gives \(2x^2+10x-36=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+10x-36=0\). The left side is \(x^2+3x+2+x^2+7x+12=2x^2+10x+14\). Subtracting (50) gives \(2x^2+10x-36=0\).

Step 3

Exam Tip

बाईं ओर \(x^2+3x+2+x^2+7x+12=2x^2+10x+14\) है। (50) घटाने पर \(2x^2+10x-36=0\) मिलता है।

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समीकरण \(\frac{x^2-3}{2}+\frac{x-1}{3}=4\) को पूर्णांक गुणांकों वाले मानक रूप में लिखिए।

Write \(\frac{x^2-3}{2}+\frac{x-1}{3}=4\) in standard form with integer coefficients.

Explanation opens after your attempt
Correct Answer

A. \(3x^2+2x-29=0\)

Step 1

Concept

Multiplying the whole equation by (6) gives \(3x^2-9+2x-2=24\). Thus the standard form is \(3x^2+2x-35=0\).

Step 2

Why this answer is correct

The correct answer is A. \(3x^2+2x-29=0\). Multiplying the whole equation by (6) gives \(3x^2-9+2x-2=24\). Thus the standard form is \(3x^2+2x-35=0\).

Step 3

Exam Tip

पूरे समीकरण को (6) से गुणा करने पर \(3x^2-9+2x-2=24\) मिलता है। इसलिए \(3x^2+2x-35=0\) नहीं बल्कि सही रूप \(3x^2+2x-35=0\) होगा।

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समीकरण ((5x-2)(2x+3)=7x) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((5x-2)(2x+3)=7x)?

Explanation opens after your attempt
Correct Answer

A. \(10x^2+4x-6=0\)

Step 1

Concept

Here ((5x-2)(2x+3)=10x-2+11x-6) and subtracting (7x) gives \(10x^2+4x-6=0\). First expand and then bring all terms to one side.

Step 2

Why this answer is correct

The correct answer is A. \(10x^2+4x-6=0\). Here ((5x-2)(2x+3)=10x-2+11x-6) and subtracting (7x) gives \(10x^2+4x-6=0\). First expand and then bring all terms to one side.

Step 3

Exam Tip

((5x-2)(2x+3)=10x-2+11x-6) है और (7x) घटाने पर \(10x^2+4x-6=0\) मिलता है। पहले विस्तार करें फिर सभी पद एक ओर लाएं।

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समीकरण ((3x+4)2=7x+16) का मानक रूप कौन-सा है?

What is the standard form of ((3x+4)2=7x+16)?

Explanation opens after your attempt
Correct Answer

A. \(9x^2+17x=0\)

Step 1

Concept

((3x+4)2=9x-2+24x+16). Subtracting (7x+16) gives \(9x^2+17x=0\).

Step 2

Why this answer is correct

The correct answer is A. \(9x^2+17x=0\). ((3x+4)2=9x-2+24x+16). Subtracting (7x+16) gives \(9x^2+17x=0\).

Step 3

Exam Tip

((3x+4)2=9x-2+24x+16) है। (7x+16) घटाने पर \(9x^2+17x=0\) मिलता है।

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समीकरण ((x-4)(x+9)=5x) का मानक रूप क्या है?

What is the standard form of ((x-4)(x+9)=5x)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-36=0\)

Step 1

Concept

The left side gives \(x^2+5x-36\). Subtracting (5x) gives \(x^2-36=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-36=0\). The left side gives \(x^2+5x-36\). Subtracting (5x) gives \(x^2-36=0\).

Step 3

Exam Tip

बाईं ओर \(x^2+5x-36\) मिलता है। (5x) घटाने पर \(x^2-36=0\) बनता है।

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समीकरण ((x-6)2=4x+5) का मानक रूप कौन-सा है?

What is the standard form of ((x-6)2=4x+5)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-16x+31=0\)

Step 1

Concept

((x-6)2=x-2-12x+36). Subtracting (4x+5) gives \(x^2-16x+31=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-16x+31=0\). ((x-6)2=x-2-12x+36). Subtracting (4x+5) gives \(x^2-16x+31=0\).

Step 3

Exam Tip

((x-6)2=x-2-12x+36) है। (4x+5) को घटाने पर \(x^2-16x+31=0\) मिलता है।

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समीकरण ((4x-1)(x+3)=0) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((4x-1)(x+3)=0)?

Explanation opens after your attempt
Correct Answer

A. \(4x^2+11x-3=0\)

Step 1

Concept

Expanding ((4x-1)(x+3)) gives \(4x^2+12x-x-3\). So the standard form is \(4x^2+11x-3=0\).

Step 2

Why this answer is correct

The correct answer is A. \(4x^2+11x-3=0\). Expanding ((4x-1)(x+3)) gives \(4x^2+12x-x-3\). So the standard form is \(4x^2+11x-3=0\).

Step 3

Exam Tip

((4x-1)(x+3)) को फैलाने पर \(4x^2+12x-x-3\) मिलता है। इसलिए मानक रूप \(4x^2+11x-3=0\) है।

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समीकरण ((2x-1)2=3x+5) का मानक रूप कौन-सा है?

What is the standard form of ((2x-1)2=3x+5)?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-7x-4=0\)

Step 1

Concept

Here ((2x-1)2=4x-2-4x+1), and bringing all terms to one side gives \(4x^2-7x-4=0\). Apply the square identity and signs carefully.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2-7x-4=0\). Here ((2x-1)2=4x-2-4x+1), and bringing all terms to one side gives \(4x^2-7x-4=0\). Apply the square identity and signs carefully.

Step 3

Exam Tip

((2x-1)2=4x-2-4x+1) है और सभी पद एक ओर लाने पर \(4x^2-7x-4=0\) मिलता है। वर्ग सूत्र और चिन्ह दोनों ध्यान से लगाएं।

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समीकरण ((x+2)(x-7)=3x) का मानक रूप क्या है?

What is the standard form of ((x+2)(x-7)=3x)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-8x-14=0\)

Step 1

Concept

The left side gives \(x^2-5x-14\). Subtracting (3x) gives \(x^2-8x-14=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-8x-14=0\). The left side gives \(x^2-5x-14\). Subtracting (3x) gives \(x^2-8x-14=0\).

Step 3

Exam Tip

बाईं ओर \(x^2-5x-14\) मिलता है। (3x) को घटाने पर \(x^2-8x-14=0\) बनता है।

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समीकरण ((x+4)2=5x+10) का मानक रूप कौन-सा है?

What is the standard form of ((x+4)2=5x+10)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+3x+6=0\)

Step 1

Concept

((x+4)2=x-2+8x+16), and subtracting (5x+10) gives \(x^2+3x+6=0\). Keep the middle term correct in square identities.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+3x+6=0\). ((x+4)2=x-2+8x+16), and subtracting (5x+10) gives \(x^2+3x+6=0\). Keep the middle term correct in square identities.

Step 3

Exam Tip

((x+4)2=x-2+8x+16) है और (5x+10) हटाने पर \(x^2+3x+6=0\) मिलता है। वर्ग सूत्र में मध्य पद सही रखें।

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कौन-सा समीकरण द्विघात है लेकिन अभी मानक रूप में नहीं है?

Which equation is quadratic but not yet in standard form?

Explanation opens after your attempt
Correct Answer

B. \(4x^2+1=3x\)

Step 1

Concept

\(4x^2+1=3x\) can be written as \(4x^2-3x+1=0\). In standard form, all terms are on one side and (0) is on the other.

Step 2

Why this answer is correct

The correct answer is B. \(4x^2+1=3x\). \(4x^2+1=3x\) can be written as \(4x^2-3x+1=0\). In standard form, all terms are on one side and (0) is on the other.

Step 3

Exam Tip

\(4x^2+1=3x\) को \(4x^2-3x+1=0\) लिखा जा सकता है। मानक रूप में सभी पद एक ओर और दूसरी ओर (0) होता है।

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समीकरण \(8x-x^2=15\) का मानक रूप कौन-सा है जिसमें \(x^2\) का गुणांक धनात्मक हो?

What is the standard form of \(8x-x^2=15\) with positive coefficient of \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-8x+15=0\)

Step 1

Concept

Bringing all terms to one side gives \(-x^2+8x-15=0\). Multiplying by (-1) gives \(x^2-8x+15=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-8x+15=0\). Bringing all terms to one side gives \(-x^2+8x-15=0\). Multiplying by (-1) gives \(x^2-8x+15=0\).

Step 3

Exam Tip

सभी पद एक ओर लाने पर \(-x^2+8x-15=0\) मिलता है। (-1) से गुणा करने पर \(x^2-8x+15=0\) मिलता है।

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समीकरण ((3x+2)(x-5)=0) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((3x+2)(x-5)=0)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-13x-10=0\)

Step 1

Concept

Expanding ((3x+2)(x-5)) gives \(3x^2-15x+2x-10\). So the standard form is \(3x^2-13x-10=0\).

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-13x-10=0\). Expanding ((3x+2)(x-5)) gives \(3x^2-15x+2x-10\). So the standard form is \(3x^2-13x-10=0\).

Step 3

Exam Tip

((3x+2)(x-5)) को फैलाने पर \(3x^2-15x+2x-10\) मिलता है। इसलिए मानक रूप \(3x^2-13x-10=0\) है।

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समीकरण ((x+3)2=2x+15) का मानक रूप कौन-सा है?

What is the standard form of ((x+3)2=2x+15)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+4x-6=0\)

Step 1

Concept

Here ((x+3)2=x-2+6x+9), and bringing all terms to one side gives \(x^2+4x-6=0\). Use the square identity and transposition carefully.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+4x-6=0\). Here ((x+3)2=x-2+6x+9), and bringing all terms to one side gives \(x^2+4x-6=0\). Use the square identity and transposition carefully.

Step 3

Exam Tip

((x+3)2=x-2+6x+9) है और सभी पद एक ओर लाने पर \(x^2+4x-6=0\) मिलता है। वर्ग सूत्र और स्थानांतरण दोनों सावधानी से करें।

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समीकरण ((x-1)(x+6)=2x) का मानक रूप क्या है?

What is the standard form of ((x-1)(x+6)=2x)?

Explanation opens after your attempt
Correct Answer

A. \(x^2+3x-6=0\)

Step 1

Concept

The left side gives \(x^2+5x-6\), and subtracting (2x) gives \(x^2+3x-6=0\). First expand and then bring all terms to one side.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+3x-6=0\). The left side gives \(x^2+5x-6\), and subtracting (2x) gives \(x^2+3x-6=0\). First expand and then bring all terms to one side.

Step 3

Exam Tip

बाईं ओर \(x^2+5x-6\) मिलता है, फिर (2x) घटाने पर \(x^2+3x-6=0\) बनता है। पहले फैलाएं फिर सभी पद एक ओर लाएं।

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समीकरण \(\frac{x^2}{2}+3x-5=0\) को बिना भिन्न के मानक रूप में कौन-सा लिखा जाएगा?

How will \(\frac{x^2}{2}+3x-5=0\) be written in standard form without fractions?

Explanation opens after your attempt
Correct Answer

A. \(x^2+6x-10=0\)

Step 1

Concept

Multiplying the whole equation by (2) gives \(x^2+6x-10=0\). To remove fractions, multiply by the denominator.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+6x-10=0\). Multiplying the whole equation by (2) gives \(x^2+6x-10=0\). To remove fractions, multiply by the denominator.

Step 3

Exam Tip

पूरे समीकरण को (2) से गुणा करने पर \(x^2+6x-10=0\) मिलता है। भिन्न हटाने के लिए हर से गुणा करें।

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समीकरण ((x-5)2=16) का मानक रूप कौन-सा है?

What is the standard form of ((x-5)2=16)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-10x+9=0\)

Step 1

Concept

((x-5)2=x-2-10x+25), so \(x^2-10x+25-16=0\). Do not forget the middle term while using square identities.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-10x+9=0\). ((x-5)2=x-2-10x+25), so \(x^2-10x+25-16=0\). Do not forget the middle term while using square identities.

Step 3

Exam Tip

((x-5)2=x-2-10x+25), इसलिए \(x^2-10x+25-16=0\) मिलता है। वर्ग सूत्र लगाते समय मध्य पद न भूलें।

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कौन-सा समीकरण द्विघात है लेकिन मानक रूप में नहीं लिखा गया है?

Which equation is quadratic but not written in standard form?

Explanation opens after your attempt
Correct Answer

B. \(x^2=5x-4\)

Step 1

Concept

\(x^2=5x-4\) can be written as \(x^2-5x+4=0\), so it is quadratic. In standard form, the right side must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(x^2=5x-4\). \(x^2=5x-4\) can be written as \(x^2-5x+4=0\), so it is quadratic. In standard form, the right side must be (0).

Step 3

Exam Tip

\(x^2=5x-4\) को \(x^2-5x+4=0\) बनाया जा सकता है, इसलिए यह द्विघात है। मानक रूप में दायां पक्ष (0) होना चाहिए।

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समीकरण \(5x-2x^2=9\) का मानक रूप कौन-सा है जिसमें \(x^2\) का गुणांक धनात्मक हो?

What is the standard form of \(5x-2x^2=9\) with positive coefficient of \(x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-5x+9=0\)

Step 1

Concept

Bringing all terms to one side gives \(-2x^2+5x-9=0\), and multiplying by (-1) gives \(2x^2-5x+9=0\). Change signs carefully in standard form.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-5x+9=0\). Bringing all terms to one side gives \(-2x^2+5x-9=0\), and multiplying by (-1) gives \(2x^2-5x+9=0\). Change signs carefully in standard form.

Step 3

Exam Tip

सभी पद एक ओर लाकर \(-2x^2+5x-9=0\) मिलता है और (-1) से गुणा करने पर \(2x^2-5x+9=0\) मिलता है। मानक रूप में चिन्ह सावधानी से बदलें।

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समीकरण ((2x-3)(x+4)=0) का मानक द्विघात रूप कौन-सा है?

What is the standard quadratic form of ((2x-3)(x+4)=0)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+5x-12=0\)

Step 1

Concept

Multiplying gives \(2x^2+8x-3x-12=0\), so \(2x^2+5x-12=0\). Adding middle terms correctly is important in exams.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+5x-12=0\). Multiplying gives \(2x^2+8x-3x-12=0\), so \(2x^2+5x-12=0\). Adding middle terms correctly is important in exams.

Step 3

Exam Tip

गुणा करने पर \(2x^2+8x-3x-12=0\), इसलिए \(2x^2+5x-12=0\) मिलता है। मध्य पदों को सही जोड़ना परीक्षा में जरूरी है।

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मानक द्विघात समीकरण \(ax^2+bx+c=0\) में अधिकतम कितने अलग-अलग पद हो सकते हैं?

In the standard quadratic equation \(ax^2+bx+c=0\), what is the maximum number of different terms?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

The standard form may contain the \(x^2\) term, the (x) term, and the constant term. So the maximum number of terms is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). The standard form may contain the \(x^2\) term, the (x) term, and the constant term. So the maximum number of terms is (3).

Step 3

Exam Tip

मानक रूप में \(x^2\) पद, (x) पद और स्थिर पद हो सकते हैं। इसलिए अधिकतम (3) पद होते हैं।

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मानक रूप \(ax^2+bx+c=0\) में \(x^2\) का गुणांक किससे दर्शाया जाता है?

In the standard form \(ax^2+bx+c=0\), which symbol denotes the coefficient of \(x^2\)?

Explanation opens after your attempt
Correct Answer

B. (a)

Step 1

Concept

In standard form, the coefficient of \(x^2\) is (a). This coefficient must not be (0).

Step 2

Why this answer is correct

The correct answer is B. (a). In standard form, the coefficient of \(x^2\) is (a). This coefficient must not be (0).

Step 3

Exam Tip

मानक रूप में \(x^2\) का गुणांक (a) होता है। यही गुणांक (0) नहीं होना चाहिए।

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((x+1)2=0) का मानक रूप क्या है?

What is the standard form of ((x+1)2=0)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

((x+1)2=x-2+2x+1). Remember the formula ((a+b)2=a-2+2ab+b-2).

Step 2

Why this answer is correct

The correct answer is C. \(x^2+2x+1=0\). ((x+1)2=x-2+2x+1). Remember the formula ((a+b)2=a-2+2ab+b-2).

Step 3

Exam Tip

((x+1)2=x-2+2x+1) होता है। सूत्र ((a+b)2=a-2+2ab+b-2) याद रखें।

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समीकरण \(x^2=6x\) का मानक रूप कौन-सा है?

What is the standard form of \(x^2=6x\)?

Explanation opens after your attempt
Correct Answer

B. \(x^2-6x=0\)

Step 1

Concept

Bringing (6x) to the left gives \(x^2-6x=0\). The sign changes during transposition.

Step 2

Why this answer is correct

The correct answer is B. \(x^2-6x=0\). Bringing (6x) to the left gives \(x^2-6x=0\). The sign changes during transposition.

Step 3

Exam Tip

(6x) को बाईं ओर लाने पर \(x^2-6x=0\) मिलता है। स्थानांतरण करते समय चिन्ह बदलता है।

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समीकरण (x(x-5)=0) का मानक रूप कौन-सा है?

What is the standard form of (x(x-5)=0)?

Explanation opens after your attempt
Correct Answer

B. \(x^2-5x=0\)

Step 1

Concept

Expanding (x(x-5)) gives \(x^2-5x\). Keep signs correct while removing brackets.

Step 2

Why this answer is correct

The correct answer is B. \(x^2-5x=0\). Expanding (x(x-5)) gives \(x^2-5x\). Keep signs correct while removing brackets.

Step 3

Exam Tip

(x(x-5)) को फैलाने पर \(x^2-5x\) मिलता है। कोष्ठक हटाते समय चिन्ह सही रखें।

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समीकरण \(x^2=7\) का मानक रूप कौन-सा है?

What is the standard form of \(x^2=7\)?

Explanation opens after your attempt
Correct Answer

D. \(x^2-7=0\)

Step 1

Concept

Bringing (7) to the left gives \(x^2-7=0\). In standard form, all terms are on one side.

Step 2

Why this answer is correct

The correct answer is D. \(x^2-7=0\). Bringing (7) to the left gives \(x^2-7=0\). In standard form, all terms are on one side.

Step 3

Exam Tip

(7) को बाईं ओर लाने पर \(x^2-7=0\) मिलता है। मानक रूप में सभी पद एक तरफ होते हैं।

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समीकरण \(4=3x-x^2\) का मानक रूप क्या है?

What is the standard form of \(4=3x-x^2\)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-3x+4=0\)

Step 1

Concept

Bringing all terms to one side gives \(x^2-3x+4=0\). In standard form, keep the right side as (0).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-3x+4=0\). Bringing all terms to one side gives \(x^2-3x+4=0\). In standard form, keep the right side as (0).

Step 3

Exam Tip

सभी पद एक तरफ लाने पर \(x^2-3x+4=0\) मिलता है। मानक रूप में दायां पक्ष (0) रखें।

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((x+3)2=25) को मानक रूप में लिखने पर कौन सा समीकरण मिलेगा?

Which equation is obtained when ((x+3)2=25) is written in standard form?

Explanation opens after your attempt
Correct Answer

A. \(x^2+6x-16=0\)

Step 1

Concept

Here ((x+3)2=x-2+6x+9), and moving (25) left gives (-25). So \(x^2+6x-16=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+6x-16=0\). Here ((x+3)2=x-2+6x+9), and moving (25) left gives (-25). So \(x^2+6x-16=0\) is correct.

Step 3

Exam Tip

((x+3)2=x-2+6x+9) है और (25) को बाईं ओर लाने पर (-25) बनता है। इसलिए \(x^2+6x-16=0\) सही है।

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किस विकल्प में गलती है जब \(x^2=6x+7\) को मानक रूप में बदला जाता है?

Which option shows the mistake while converting \(x^2=6x+7\) to standard form?

Explanation opens after your attempt
Correct Answer

B. \(x^2+6x+7=0\)

Step 1

Concept

The correct standard form is \(x^2-6x-7=0\). In option (B), the signs of the right-side terms were not changed.

Step 2

Why this answer is correct

The correct answer is B. \(x^2+6x+7=0\). The correct standard form is \(x^2-6x-7=0\). In option (B), the signs of the right-side terms were not changed.

Step 3

Exam Tip

सही मानक रूप \(x^2-6x-7=0\) है। विकल्प (B) में दाईं ओर के पदों के चिन्ह नहीं बदले गए।

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कौन सा समीकरण मानक रूप में लाने पर \(x^2+2x-8=0\) बनता है?

Which equation becomes \(x^2+2x-8=0\) after writing in standard form?

Explanation opens after your attempt
Correct Answer

A. \(x^2+2x=8\)

Step 1

Concept

Moving (8) to the left makes it (-8). So we get \(x^2+2x-8=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2+2x=8\). Moving (8) to the left makes it (-8). So we get \(x^2+2x-8=0\).

Step 3

Exam Tip

(8) को बाईं ओर लाने पर (-8) बनता है। इसलिए \(x^2+2x-8=0\) मिलता है।

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(4x(x-3)=0) का मानक रूप क्या है?

What is the standard form of (4x(x-3)=0)?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-12x=0\)

Step 1

Concept

Multiplying (4x) by both terms gives \(4x^2-12x=0\). Pay attention to the negative sign.

Step 2

Why this answer is correct

The correct answer is A. \(4x^2-12x=0\). Multiplying (4x) by both terms gives \(4x^2-12x=0\). Pay attention to the negative sign.

Step 3

Exam Tip

(4x) को दोनों पदों से गुणा करने पर \(4x^2-12x=0\) मिलता है। ऋण चिन्ह पर ध्यान दें।

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((x-6)(x+2)=0) का मानक रूप कौन सा है?

Which is the standard form of ((x-6)(x+2)=0)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-4x-12=0\)

Step 1

Concept

Expansion gives \(x^2+2x-6x-12=0\). So \(x^2-4x-12=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-4x-12=0\). Expansion gives \(x^2+2x-6x-12=0\). So \(x^2-4x-12=0\) is correct.

Step 3

Exam Tip

विस्तार से \(x^2+2x-6x-12=0\) मिलता है। इसलिए \(x^2-4x-12=0\) सही है।

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(2x(x+7)=0) को मानक रूप में लिखिए।

Write (2x(x+7)=0) in standard form.

Explanation opens after your attempt
Correct Answer

A. \(2x^2+14x=0\)

Step 1

Concept

Multiply (2x) by both terms inside the bracket. This gives \(2x^2+14x=0\).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+14x=0\). Multiply (2x) by both terms inside the bracket. This gives \(2x^2+14x=0\).

Step 3

Exam Tip

(2x) को कोष्ठक के दोनों पदों से गुणा करें। इससे \(2x^2+14x=0\) मिलता है।

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समीकरण \(2x^2=5x+3\) का मानक रूप कौन सा है?

Which is the standard form of \(2x^2=5x+3\)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2-5x-3=0\)

Step 1

Concept

Bringing all terms to one side gives \(2x^2-5x-3=0\). Changing signs is important.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-5x-3=0\). Bringing all terms to one side gives \(2x^2-5x-3=0\). Changing signs is important.

Step 3

Exam Tip

सभी पद एक तरफ लाने पर \(2x^2-5x-3=0\) मिलता है। चिन्ह बदलना जरूरी है।

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समीकरण \(4x^2+7x=9\) का मानक रूप क्या है?

What is the standard form of \(4x^2+7x=9\)?

Explanation opens after your attempt
Correct Answer

B. \(4x^2+7x-9=0\)

Step 1

Concept

Moving (9) to the left makes it (-9). So the standard form is \(4x^2+7x-9=0\).

Step 2

Why this answer is correct

The correct answer is B. \(4x^2+7x-9=0\). Moving (9) to the left makes it (-9). So the standard form is \(4x^2+7x-9=0\).

Step 3

Exam Tip

दाईं ओर के (9) को बाईं ओर लाने पर (-9) बनता है। इसलिए मानक रूप \(4x^2+7x-9=0\) है।

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किस विकल्प में सामान्य गलती है जब \(x^2=5x-6\) को मानक रूप में बदला जाता है?

Which option shows the common mistake while converting \(x^2=5x-6\) to standard form?

Explanation opens after your attempt
Correct Answer

B. \(x^2-5x-6=0\)

Step 1

Concept

The correct form is \(x^2-5x+6=0\). In option (B), the sign of (-6) was not changed.

Step 2

Why this answer is correct

The correct answer is B. \(x^2-5x-6=0\). The correct form is \(x^2-5x+6=0\). In option (B), the sign of (-6) was not changed.

Step 3

Exam Tip

सही रूप \(x^2-5x+6=0\) है। विकल्प (B) में (-6) का चिन्ह नहीं बदला गया।

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कौन सा समीकरण मानक रूप में लाने पर \(x^2-7x+10=0\) बनता है?

Which equation becomes \(x^2-7x+10=0\) after writing in standard form?

Explanation opens after your attempt
Correct Answer

A. \(x^2-7x=-10\)

Step 1

Concept

In \(x^2-7x=-10\), moving (-10) to the left gives (+10). So the standard form is \(x^2-7x+10=0\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-7x=-10\). In \(x^2-7x=-10\), moving (-10) to the left gives (+10). So the standard form is \(x^2-7x+10=0\).

Step 3

Exam Tip

\(x^2-7x=-10\) में (-10) को बाईं ओर लाने पर (+10) बनता है। इसलिए मानक रूप \(x^2-7x+10=0\) है।

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(3x(x-2)=0) का मानक रूप क्या है?

What is the standard form of (3x(x-2)=0)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-6x=0\)

Step 1

Concept

Multiplying (3x) by both terms gives \(3x^2-6x=0\). Watch the sign.

Step 2

Why this answer is correct

The correct answer is A. \(3x^2-6x=0\). Multiplying (3x) by both terms gives \(3x^2-6x=0\). Watch the sign.

Step 3

Exam Tip

(3x) को दोनों पदों से गुणा करने पर \(3x^2-6x=0\) मिलता है। चिन्ह पर ध्यान दें।

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((x-4)(x+1)=0) का मानक रूप कौन सा है?

Which is the standard form of ((x-4)(x+1)=0)?

Explanation opens after your attempt
Correct Answer

A. \(x^2-3x-4=0\)

Step 1

Concept

Expanding gives \(x^2+x-4x-4=0\). So \(x^2-3x-4=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-3x-4=0\). Expanding gives \(x^2+x-4x-4=0\). So \(x^2-3x-4=0\) is correct.

Step 3

Exam Tip

विस्तार करने पर \(x^2+x-4x-4=0\) मिलता है। इसलिए \(x^2-3x-4=0\) सही है।

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(x(x+5)=0) को मानक रूप में लिखिए।

Write (x(x+5)=0) in standard form.

Explanation opens after your attempt
Correct Answer

A. \(x^2+5x=0\)

Step 1

Concept

Multiplying gives \(x^2+5x=0\). While opening brackets, multiply each term.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+5x=0\). Multiplying gives \(x^2+5x=0\). While opening brackets, multiply each term.

Step 3

Exam Tip

गुणा करने पर \(x^2+5x=0\) मिलता है। कोष्ठक खोलते समय हर पद से गुणा करें।

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कौन सा समीकरण \(ax^2+bx+c=0\) के मानक रूप में है?

Which equation is in the standard form \(ax^2+bx+c=0\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

In standard form the right side is (0). Option (A) matches this form.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+2x+1=0\). In standard form the right side is (0). Option (A) matches this form.

Step 3

Exam Tip

मानक रूप में दाईं ओर (0) होता है। विकल्प (A) इसी रूप में है।

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समीकरण \(x^2=4x+12\) का मानक रूप कौन सा है?

Which is the standard form of \(x^2=4x+12\)?

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Correct Answer

A. \(x^2-4x-12=0\)

Step 1

Concept

When terms from the right side move left, their signs change. Thus \(x^2-4x-12=0\) is correct.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-4x-12=0\). When terms from the right side move left, their signs change. Thus \(x^2-4x-12=0\) is correct.

Step 3

Exam Tip

दाईं ओर के पदों को बाईं ओर लाने पर चिन्ह बदलते हैं। इसलिए \(x^2-4x-12=0\) सही है।

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समीकरण \(2x^2+5x=3\) का मानक रूप क्या है?

What is the standard form of \(2x^2+5x=3\)?

Explanation opens after your attempt
Correct Answer

B. \(2x^2+5x-3=0\)

Step 1

Concept

Bringing all terms to one side gives \(2x^2+5x-3=0\). Do not forget the sign change.

Step 2

Why this answer is correct

The correct answer is B. \(2x^2+5x-3=0\). Bringing all terms to one side gives \(2x^2+5x-3=0\). Do not forget the sign change.

Step 3

Exam Tip

सभी पद एक तरफ लाने पर \(2x^2+5x-3=0\) मिलता है। चिन्ह बदलना न भूलें।

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किसी धनात्मक पूर्णांक को (9) से भाग देने पर कौन-सा रूप मानक रूप नहीं है?

When a positive integer is divided by (9), which form is not a standard form?

Explanation opens after your attempt
Correct Answer

C. (9q+9)

Step 1

Concept

On division by (9), remainders can be from (0) to (8).

Step 2

Why this answer is correct

In (9q+9), the remainder is (9), which equals the divisor.

Step 3

Exam Tip

It should be written correctly as (9(q+1)). चरण 1: (9) से भाग देने पर शेषफल (0) से (8) तक हो सकते हैं। चरण 2: (9q+9) में शेषफल (9) है, जो भाजक के बराबर है। चरण 3: इसे सही रूप में (9(q+1)) लिखा जाना चाहिए।

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किसी धनात्मक पूर्णांक को (3) से भाग देने पर कौन-सा रूप मानक रूप नहीं है?

When a positive integer is divided by (3), which form is not a standard form?

Explanation opens after your attempt
Correct Answer

D. (3q+3)

Step 1

Concept

On division by (3), possible remainders are (0,1,2).

Step 2

Why this answer is correct

In (3q+3), the remainder is (3), which equals the divisor.

Step 3

Exam Tip

It should be written correctly as (3(q+1)). चरण 1: (3) से भाग देने पर शेषफल (0,1,2) हो सकते हैं। चरण 2: (3q+3) में शेषफल (3) है, जो भाजक के बराबर है। चरण 3: इसे सही रूप में (3(q+1)) लिखना चाहिए।

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यूक्लिड विभाजन प्रमेयिका का मानक रूप कौन सा है?

Which is the standard form of Euclid’s Division Lemma?

Explanation opens after your attempt
Correct Answer

A. \(a=bq+r,\ 0 \le r < b\)

Step 1

Concept

The lemma uses dividend (a), divisor (b), quotient (q), and remainder (r).

Step 2

Why this answer is correct

The correct relation is (a=bq+r).

Step 3

Exam Tip

Do not forget the condition \(0 \le r < b\). चरण 1: प्रमेयिका में भाज्य (a), भाजक (b), भागफल (q) और शेषफल (r) होते हैं। चरण 2: सही संबंध (a=bq+r) है। चरण 3: साथ में \(0 \le r < b\) लिखना न भूलें।

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औपनिवेशिक शासन में कच्चे माल का निर्यात और तैयार माल का आयात किस आर्थिक ढांचे को दिखाता है?

Export of raw materials and import of finished goods under colonial rule shows which economic pattern?

Explanation opens after your attempt
Correct Answer

B. निर्भर औपनिवेशिक अर्थव्यवस्थाDependent colonial economy

Step 1

Concept

In this pattern the colony could become dependent on industrial countries. For exams study raw materials and markets together.

Step 2

Why this answer is correct

The correct answer is B. निर्भर औपनिवेशिक अर्थव्यवस्था / Dependent colonial economy. In this pattern the colony could become dependent on industrial countries. For exams study raw materials and markets together.

Step 3

Exam Tip

इस ढांचे में उपनिवेश औद्योगिक देशों पर निर्भर हो सकता था। परीक्षा में कच्चा माल और बाजार साथ पढ़ें।

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औपनिवेशिक बाजारों में यूरोपीय तैयार माल की बिक्री स्थानीय उत्पादन को कैसे प्रभावित कर सकती थी?

How could the sale of European finished goods in colonial markets affect local production?

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Correct Answer

B. स्थानीय उत्पादन पर विदेशी वस्तुओं की प्रतिस्पर्धा बढ़ सकती थीCompetition from foreign goods could increase against local production

Step 1

Concept

Competition from foreign goods could weaken local industries. For exams understand the link between markets and production.

Step 2

Why this answer is correct

The correct answer is B. स्थानीय उत्पादन पर विदेशी वस्तुओं की प्रतिस्पर्धा बढ़ सकती थी / Competition from foreign goods could increase against local production. Competition from foreign goods could weaken local industries. For exams understand the link between markets and production.

Step 3

Exam Tip

विदेशी वस्तुओं की प्रतिस्पर्धा से स्थानीय उद्योग कमजोर हो सकते थे। परीक्षा में बाजार और उत्पादन का संबंध समझें।

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औपनिवेशिक व्यापार में तैयार माल अक्सर कहां बेचा जाता था?

In colonial trade where were finished goods often sold?

Explanation opens after your attempt
Correct Answer

B. उपनिवेशों के बाजारों मेंIn markets of colonies

Step 1

Concept

Colonies could become markets for European finished goods. For exams remember both raw materials and markets.

Step 2

Why this answer is correct

The correct answer is B. उपनिवेशों के बाजारों में / In markets of colonies. Colonies could become markets for European finished goods. For exams remember both raw materials and markets.

Step 3

Exam Tip

उपनिवेश यूरोपीय तैयार माल के बाजार बन सकते थे। परीक्षा में कच्चा माल और बाजार दोनों याद रखें।

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विदेशी वस्तुओं का बहिष्कार सविनय अवज्ञा में दोहरे दबाव का साधन कैसे था?

How was boycott of foreign goods a tool of double pressure in Civil Disobedience?

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A. इसने ब्रिटिश व्यापारिक हित और राजनीतिक अधिकार दोनों को चुनौती दीIt challenged both British commercial interests and political authority

Step 1

Concept

Foreign goods were linked with colonial trade.

Step 2

Why this answer is correct

Boycott signalled both economic loss and political protest.

Step 3

Exam Tip

Understand boycott as an economic and political weapon. चरण 1: विदेशी वस्तुएं औपनिवेशिक व्यापार से जुड़ी थीं। चरण 2: बहिष्कार आर्थिक नुकसान और राजनीतिक विरोध दोनों का संकेत था। चरण 3: बहिष्कार को आर्थिक और राजनीतिक हथियार समझें।

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विदेशी वस्तुओं के बहिष्कार को आर्थिक और राजनीतिक हथियार दोनों क्यों कहा जा सकता है?

Why can boycott of foreign goods be called both an economic and political weapon?

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Correct Answer

A. इससे ब्रिटिश व्यापार और शासन दोनों पर दबाव बनता थाIt created pressure on both British trade and rule

Step 1

Concept

Foreign goods were linked with colonial trade.

Step 2

Why this answer is correct

Boycott created pressure on economic interests and expressed political protest.

Step 3

Exam Tip

Understand boycott as a method with double effect. चरण 1: विदेशी वस्तुएं औपनिवेशिक व्यापार से जुड़ी थीं। चरण 2: बहिष्कार से आर्थिक हितों पर दबाव और राजनीतिक विरोध दोनों प्रकट हुए। चरण 3: बहिष्कार को दोहरे प्रभाव वाली पद्धति समझें।

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विदेशी वस्तुओं के बहिष्कार को आर्थिक और राजनीतिक हथियार दोनों क्यों माना गया?

Why was boycott of foreign goods considered both an economic and political weapon?

Explanation opens after your attempt
Correct Answer

A. इससे ब्रिटिश व्यापार और शासन दोनों पर दबाव बनता थाIt created pressure on both British trade and rule

Step 1

Concept

Foreign goods were linked with colonial trade.

Step 2

Why this answer is correct

Boycott created pressure on economic interests and expressed political protest.

Step 3

Exam Tip

Treat boycott as a method with double effect. चरण 1: विदेशी वस्तुएं औपनिवेशिक व्यापार से जुड़ी थीं। चरण 2: बहिष्कार से आर्थिक हितों पर दबाव और राजनीतिक विरोध दोनों हुए। चरण 3: बहिष्कार को दोहरे प्रभाव वाली पद्धति मानें।

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विदेशी वस्तुओं के बहिष्कार ने सविनय अवज्ञा में राजनीतिक और आर्थिक दोनों अर्थ कैसे लिए?

How did boycott of foreign goods carry both political and economic meanings in Civil Disobedience?

Explanation opens after your attempt
Correct Answer

A. इसने ब्रिटिश शासन और उसके व्यापारिक हितों दोनों को चुनौती दीIt challenged both British rule and its commercial interests

Step 1

Concept

Foreign goods were linked with colonial trade.

Step 2

Why this answer is correct

Boycott pressured the economic strength of rule and also expressed political protest.

Step 3

Exam Tip

Understand boycott as a double-edged weapon. चरण 1: विदेशी वस्तुएं औपनिवेशिक व्यापार से जुड़ी थीं। चरण 2: बहिष्कार से शासन की आर्थिक ताकत पर दबाव पड़ा और राजनीतिक विरोध भी हुआ। चरण 3: बहिष्कार को दोहरे हथियार के रूप में समझें।

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विदेशी वस्तुओं के बहिष्कार ने सविनय अवज्ञा में किस प्रकार का दबाव बनाया?

What kind of pressure did the boycott of foreign goods create in Civil Disobedience?

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Correct Answer

A. आर्थिक दबावEconomic pressure

Step 1

Concept

Boycott of foreign goods was linked with British trade.

Step 2

Why this answer is correct

It could pressure colonial economic interests.

Step 3

Exam Tip

Treat boycott as a method of economic protest. चरण 1: विदेशी वस्तुओं का बहिष्कार ब्रिटिश व्यापार से जुड़ा था। चरण 2: इससे औपनिवेशिक आर्थिक हितों पर दबाव पड़ सकता था। चरण 3: बहिष्कार को आर्थिक विरोध की पद्धति मानें।

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सविनय अवज्ञा आंदोलन के दौरान विदेशी वस्तुओं की दुकानों पर विरोध क्यों हुआ?

Why were foreign goods shops protested during the Civil Disobedience Movement?

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Correct Answer

A. विदेशी वस्तुओं के बहिष्कार को सफल बनाने के लिएTo make the boycott of foreign goods successful

Step 1

Concept

Boycotting foreign goods was linked with swadeshi.

Step 2

Why this answer is correct

Protests at shops encouraged people not to buy foreign goods.

Step 3

Exam Tip

Understand economic nationalism in practical action. चरण 1: विदेशी वस्तुओं का बहिष्कार स्वदेशी आंदोलन से जुड़ा था। चरण 2: दुकानों पर विरोध से लोगों को विदेशी माल न खरीदने का संदेश मिला। चरण 3: आर्थिक राष्ट्रवाद को व्यवहारिक रूप में समझें।

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सविनय अवज्ञा आंदोलन में विदेशी वस्तुओं के बहिष्कार का उद्देश्य क्या था?

What was the purpose of boycotting foreign goods in the Civil Disobedience Movement?

Explanation opens after your attempt
Correct Answer

A. ब्रिटिश आर्थिक हितों को चुनौती देनाTo challenge British economic interests

Step 1

Concept

Boycott of foreign goods was a method of economic protest.

Step 2

Why this answer is correct

It put pressure on British commercial interests.

Step 3

Exam Tip

Treat boycott as both a political and economic weapon. चरण 1: विदेशी वस्तुओं का बहिष्कार आर्थिक विरोध का तरीका था। चरण 2: इससे ब्रिटिश व्यापारिक हितों पर दबाव पड़ता था। चरण 3: बहिष्कार को राजनीतिक और आर्थिक दोनों हथियार मानें।

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सविनय अवज्ञा आंदोलन में विदेशी वस्तुओं का बहिष्कार क्यों किया गया?

Why were foreign goods boycotted in the Civil Disobedience Movement?

Explanation opens after your attempt
Correct Answer

A. ब्रिटिश आर्थिक हितों को चुनौती देने के लिएTo challenge British economic interests

Step 1

Concept

Boycott of foreign goods was connected with the spirit of swadeshi.

Step 2

Why this answer is correct

It tried to hurt British economic interests.

Step 3

Exam Tip

Treat boycott as a method of economic protest. चरण 1: विदेशी वस्तुओं का बहिष्कार स्वदेशी भावना से जुड़ा था। चरण 2: इससे ब्रिटिश आर्थिक हितों को चोट पहुंचाने का प्रयास हुआ। चरण 3: बहिष्कार को आर्थिक विरोध की पद्धति मानें।

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व्यापारी वर्ग के लिए विदेशी वस्तुओं का बहिष्कार क्यों उपयोगी लग सकता था?

Why could the boycott of foreign goods seem useful to the business class?

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Correct Answer

A. क्योंकि इससे भारतीय वस्तुओं की मांग बढ़ने की संभावना थीBecause it could increase demand for Indian goods

Step 1

Concept

Boycott of foreign goods could change the direction of the market.

Step 2

Why this answer is correct

A rise in demand for Indian products served business interests.

Step 3

Exam Tip

In exams, understand swadeshi in both economic and national ways. चरण 1: विदेशी वस्तुओं का बहिष्कार बाजार की दिशा बदल सकता था। चरण 2: भारतीय उत्पादों की मांग बढ़ना व्यापारियों के हित में था। चरण 3: परीक्षा में स्वदेशी को आर्थिक और राष्ट्रीय दोनों रूपों में समझें।

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व्यापारियों के लिए विदेशी वस्तुओं का बहिष्कार किस प्रकार लाभकारी था?

How was the boycott of foreign goods useful for merchants?

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Correct Answer

A. इससे भारतीय माल की मांग बढ़ सकती थीIt could increase demand for Indian goods

Step 1

Concept

Boycott of foreign goods gave Indian goods an opportunity in the market.

Step 2

Why this answer is correct

Merchants could expect higher sales and profits from this.

Step 3

Exam Tip

In exams, focus on the economic result of boycott. चरण 1: विदेशी माल के बहिष्कार से बाजार में भारतीय माल को अवसर मिलता था। चरण 2: व्यापारी इससे बिक्री और लाभ बढ़ने की उम्मीद कर सकते थे। चरण 3: परीक्षा में बहिष्कार के आर्थिक परिणाम पर ध्यान दें।

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असहयोग आंदोलन में लोगों को किन वस्तुओं का प्रयोग करने के लिए कहा गया?

Which goods were people asked to use in the Non-Cooperation Movement?

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Correct Answer

A. स्वदेशी वस्तुएंSwadeshi goods

Step 1

Concept

The movement involved boycott of foreign goods.

Step 2

Why this answer is correct

Along with it people were encouraged to use swadeshi goods.

Step 3

Exam Tip

This was a simple form of economic nationalism. चरण 1: आंदोलन में विदेशी वस्तुओं का बहिष्कार था। चरण 2: उसके साथ स्वदेशी वस्तुओं को अपनाने पर जोर दिया गया। चरण 3: यह आर्थिक राष्ट्रवाद का सरल रूप था।

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किस आंदोलन में विदेशी वस्तुओं के बहिष्कार पर जोर दिया गया?

Which movement stressed the boycott of foreign goods?

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Correct Answer

A. असहयोग आंदोलनNon-Cooperation Movement

Step 1

Concept

The Non-Cooperation Movement included boycott of foreign goods.

Step 2

Why this answer is correct

Its aim was to promote swadeshi.

Step 3

Exam Tip

It was a simple method of economic protest. चरण 1: असहयोग आंदोलन में विदेशी वस्तुओं का बहिष्कार शामिल था। चरण 2: इसका उद्देश्य स्वदेशी को बढ़ावा देना था। चरण 3: यह आर्थिक विरोध का सरल तरीका था।

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असहयोग आंदोलन में लोगों ने कौन सी वस्तुएं अपनाने पर जोर दिया?

Which goods did people emphasise using in the Non-Cooperation Movement?

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Correct Answer

A. स्वदेशी वस्तुएंSwadeshi goods

Step 1

Concept

Non-Cooperation involved boycott of foreign goods.

Step 2

Why this answer is correct

Along with it people were encouraged to use swadeshi goods.

Step 3

Exam Tip

This was a simple form of economic nationalism. चरण 1: असहयोग में विदेशी वस्तुओं का बहिष्कार था। चरण 2: उसके साथ स्वदेशी वस्तुओं को अपनाने पर जोर दिया गया। चरण 3: यह आर्थिक राष्ट्रवाद का सरल रूप था।

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बेसनगर का गरुड़ ध्वज किस धर्म के प्रारंभिक विकास से जुड़ा है?

The Garuda standard at Besnagar is linked with the early development of which religion?

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Correct Answer

A. वैष्णव धर्मVaishnavism

Step 1

Concept

The Garuda standard at Besnagar is evidence linked with Vasudeva Vishnu devotion. For exams, understand religious development through symbols.

Step 2

Why this answer is correct

The correct answer is A. वैष्णव धर्म / Vaishnavism. The Garuda standard at Besnagar is evidence linked with Vasudeva Vishnu devotion. For exams, understand religious development through symbols.

Step 3

Exam Tip

बेसनगर का गरुड़ ध्वज वासुदेव विष्णु भक्ति से जुड़ा प्रमाण है। परीक्षा में प्रतीकों से धर्म के विकास को समझें।

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हड़प्पाई ईंटों का मानक अनुपात सामान्यतः किस रूप में बताया जाता है?

The standard ratio of Harappan bricks is generally stated as what?

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Correct Answer

B. 1:2:4

Step 1

Concept

Harappan bricks are famous for the 1:2:4 ratio. For exams, connect it with standardization and town planning.

Step 2

Why this answer is correct

The correct answer is B. 1:2:4. Harappan bricks are famous for the 1:2:4 ratio. For exams, connect it with standardization and town planning.

Step 3

Exam Tip

हड़प्पाई ईंटों में 1:2:4 का अनुपात प्रसिद्ध है। परीक्षा में इसे मानकीकरण और नगर योजना से जोड़ें।

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कौन-सा व्यंजक मानक बहुपद रूप में लिखा है?

Which expression is written in standard polynomial form?

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Correct Answer

B. \(x^3+2x+5\)

Step 1

Concept

In standard form, terms are written from higher power to lower power. The expression \(x^3+2x+5\) follows this order.

Step 2

Why this answer is correct

The correct answer is B. \(x^3+2x+5\). In standard form, terms are written from higher power to lower power. The expression \(x^3+2x+5\) follows this order.

Step 3

Exam Tip

मानक रूप में पद बड़ी घात से छोटी घात की ओर लिखे जाते हैं। \(x^3+2x+5\) इसी क्रम में है।

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