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100 results found for "not zero point graph" in Class 10.

यदि ग्राफ के शून्यक (-12), (5), (14) हैं, तो कौन सा बिंदु ग्राफ पर शून्यक नहीं दिखाता?

If the zeroes of a graph are (-12), (5), (14), which point does not show a zero on the graph?

Explanation opens after your attempt
Correct Answer

C. ((0,14))

Step 1

Concept

((0,14)) has (y=14), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).

Step 2

Why this answer is correct

The correct answer is C. ((0,14)). ((0,14)) has (y=14), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).

Step 3

Exam Tip

((0,14)) में (y=14) है, इसलिए यह (x)-अक्ष पर नहीं है। टिप: शून्यक बिंदु में दूसरा निर्देशांक (0) होना चाहिए।

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यदि ग्राफ के शून्यक (-8), (3), (12) हैं, तो कौन सा बिंदु ग्राफ पर शून्यक नहीं दिखाता?

If the zeroes of a graph are (-8), (3), (12), which point does not show a zero on the graph?

Explanation opens after your attempt
Correct Answer

C. ((0,12))

Step 1

Concept

((0,12)) has (y=12), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).

Step 2

Why this answer is correct

The correct answer is C. ((0,12)). ((0,12)) has (y=12), so it is not on the (x)-axis. Tip: a zero point must have second coordinate (0).

Step 3

Exam Tip

((0,12)) में (y=12) है, इसलिए यह (x)-अक्ष पर नहीं है। टिप: शून्यक बिंदु में दूसरा निर्देशांक (0) होना चाहिए।

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यदि (p(x)=x-2-1) है तो कौन सा बिंदु आलेख पर शून्यक नहीं दिखाता?

If (p(x)=x-2-1), which point does not show a zero on the graph?

Explanation opens after your attempt
Correct Answer

C. ((0,-1))

Step 1

Concept

((0,-1)) has \(y\neq0\), so it does not show a zero. Tip: it is a (y)-axis intercept.

Step 2

Why this answer is correct

The correct answer is C. ((0,-1)). ((0,-1)) has \(y\neq0\), so it does not show a zero. Tip: it is a (y)-axis intercept.

Step 3

Exam Tip

((0,-1)) में \(y\neq0\) है इसलिए यह शून्यक नहीं दिखाता। टिप: यह (y)-अक्ष कटान है।

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यदि किसी ग्राफ में ((4,2)) बिंदु है, तो क्या (4) शून्यक है?

If a graph has the point ((4,2)), is (4) a zero?

Explanation opens after your attempt
Correct Answer

A. नहींNo

Step 1

Concept

In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.

Step 2

Why this answer is correct

The correct answer is A. नहीं / No. In ((4,2)), (y=2), not (0). Therefore (x=4) is not a zero.

Step 3

Exam Tip

((4,2)) में (y=2) है, (0) नहीं। इसलिए (x=4) शून्यक नहीं है।

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यदि (x=7) किसी बहुपद का शून्यक है, तो ग्राफ पर कौन सा बिंदु अवश्य होगा?

If (x=7) is a zero of a polynomial, which point must lie on the graph?

Explanation opens after your attempt
Correct Answer

C. ((7,0))

Step 1

Concept

A zero (7) means (p(7)=0). Tip: place the zero as the first coordinate.

Step 2

Why this answer is correct

The correct answer is C. ((7,0)). A zero (7) means (p(7)=0). Tip: place the zero as the first coordinate.

Step 3

Exam Tip

शून्यक (7) होने का अर्थ (p(7)=0) है। टिप: शून्यक को पहले निर्देशांक में रखें।

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किस बिंदु पर ग्राफ होने से (x=11) शून्यक सिद्ध होगा?

Which point on the graph proves that (x=11) is a zero?

Explanation opens after your attempt
Correct Answer

A. ((11,0))

Step 1

Concept

For (x=11) to be a zero, (y=0) is needed. So the point must be ((11,0)).

Step 2

Why this answer is correct

The correct answer is A. ((11,0)). For (x=11) to be a zero, (y=0) is needed. So the point must be ((11,0)).

Step 3

Exam Tip

(x=11) शून्यक होने के लिए (y=0) चाहिए। इसलिए बिंदु ((11,0)) होना चाहिए।

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किस बिंदु पर ग्राफ होने से (x=-2) शून्यक सिद्ध होगा?

Which point on the graph proves that (x=-2) is a zero?

Explanation opens after your attempt
Correct Answer

A. ((-2,0))

Step 1

Concept

For (x=-2) to be a zero, (y=0) at that point. Hence the correct point is ((-2,0)).

Step 2

Why this answer is correct

The correct answer is A. ((-2,0)). For (x=-2) to be a zero, (y=0) at that point. Hence the correct point is ((-2,0)).

Step 3

Exam Tip

(x=-2) शून्यक होने के लिए उस बिंदु पर (y=0) होना चाहिए। इसलिए सही बिंदु ((-2,0)) है।

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यदि (p(2)=3) है तो बिंदु ((2,3)) आलेख पर है। क्या (2) शून्यक है?

If (p(2)=3) then the point ((2,3)) is on the graph. Is (2) a zero?

Explanation opens after your attempt
Correct Answer

A. नहींNo

Step 1

Concept

For a zero (p(2)) should be (0). Tip: if (p(a)\neq0) then (a) is not a zero.

Step 2

Why this answer is correct

The correct answer is A. नहीं / No. For a zero (p(2)) should be (0). Tip: if (p(a)\neq0) then (a) is not a zero.

Step 3

Exam Tip

शून्यक के लिए (p(2)) को (0) होना चाहिए था। टिप: (p(a)\neq0) हो तो (a) शून्यक नहीं है।

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किसी बहुपद के ग्राफ पर शून्यक पहचानने के लिए कौन-सा मान शून्य होना चाहिए?

Which value must be zero to identify a zero on the graph of a polynomial?

Explanation opens after your attempt
Correct Answer

A. बहुपद का मानValue of the polynomial

Step 1

Concept

At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).

Step 2

Why this answer is correct

The correct answer is A. बहुपद का मान / Value of the polynomial. At a zero, the polynomial value is (0). While reading a graph, look for points where (y=0).

Step 3

Exam Tip

शून्यक पर बहुपद का मान (0) होता है। ग्राफ पढ़ते समय (y=0) वाले बिंदु देखें।

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यदि ग्राफ (x)-अक्ष को (2.5) पर काटता है तो सही शून्यक कौन सा है?

If a graph cuts the (x)-axis at (2.5), which is the correct zero?

Explanation opens after your attempt
Correct Answer

A. (2.5)

Step 1

Concept

A zero is a number not a point. The point is ((2.5,0)) but the zero is (2.5).

Step 2

Why this answer is correct

The correct answer is A. (2.5). A zero is a number not a point. The point is ((2.5,0)) but the zero is (2.5).

Step 3

Exam Tip

शून्यक संख्या होता है बिंदु नहीं। बिंदु ((2.5,0)) है लेकिन शून्यक (2.5) है।

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एक बहुपद का ग्राफ (x)-अक्ष को केवल ((-2,0)) पर छूता है। अलग वास्तविक शून्यक कौन-सा है?

A polynomial graph only touches the (x)-axis at ((-2,0)). What is the distinct real zero?

Explanation opens after your attempt
Correct Answer

A. (-2)

Step 1

Concept

A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).

Step 2

Why this answer is correct

The correct answer is A. (-2). A touching point also gives (p(x)=0). Therefore the distinct real zero is (-2).

Step 3

Exam Tip

छूने वाला बिंदु भी (p(x)=0) देता है। इसलिए अलग वास्तविक शून्यक (-2) है।

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यदि किसी बहुपद के ग्राफ का (x)-अक्ष से केवल एक साझा बिंदु ((6,0)) है, तो अलग वास्तविक शून्यक क्या होगा?

If a polynomial graph has only one common point with the (x)-axis at ((6,0)), what is the distinct real zero?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The common point ((6,0)) has (x)-coordinate (6). So the distinct real zero is (6).

Step 2

Why this answer is correct

The correct answer is A. (6). The common point ((6,0)) has (x)-coordinate (6). So the distinct real zero is (6).

Step 3

Exam Tip

एक साझा बिंदु ((6,0)) का (x)-निर्देशांक (6) है। इसलिए अलग वास्तविक शून्यक (6) होगा।

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यदि (p(0)=0), तो ग्राफ किस विशेष बिंदु से गुजरेगा?

If (p(0)=0), through which special point will the graph pass?

Explanation opens after your attempt
Correct Answer

A. मूल बिंदुOrigin

Step 1

Concept

(p(0)=0) means (y=0) at (x=0). So the graph passes through the origin ((0,0)).

Step 2

Why this answer is correct

The correct answer is A. मूल बिंदु / Origin. (p(0)=0) means (y=0) at (x=0). So the graph passes through the origin ((0,0)).

Step 3

Exam Tip

(p(0)=0) का अर्थ है (x=0) पर (y=0)। इसलिए ग्राफ मूल बिंदु ((0,0)) से गुजरेगा।

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ग्राफ पर ((0,4)) बिंदु मिलने से क्या (0) शून्यक होगा?

Does the point ((0,4)) on a graph mean that (0) is a zero?

Explanation opens after your attempt
Correct Answer

A. नहीं, क्योंकि \(y\neq 0\) हैNo, because \(y\neq 0\)

Step 1

Concept

For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.

Step 2

Why this answer is correct

The correct answer is A. नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\). For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.

Step 3

Exam Tip

शून्यक के लिए (y=0) होना चाहिए। ((0,4)) में (y=4) है, इसलिए (0) शून्यक नहीं है।

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किसी बहुपद के आलेख पर बिंदु ((4,0)) है। इससे कौन सा कथन सही है?

The point ((4,0)) lies on the graph of a polynomial. Which statement is correct?

Explanation opens after your attempt
Correct Answer

A. (4) बहुपद का शून्यक है(4) is a zero of the polynomial

Step 1

Concept

The point ((4,0)) means (p(x)=0) at (x=4). Tip: from ((a,0)) the zero is (a).

Step 2

Why this answer is correct

The correct answer is A. (4) बहुपद का शून्यक है / (4) is a zero of the polynomial. The point ((4,0)) means (p(x)=0) at (x=4). Tip: from ((a,0)) the zero is (a).

Step 3

Exam Tip

((4,0)) का अर्थ है (x=4) पर (p(x)=0)। टिप: ((a,0)) से शून्यक (a) मिलता है।

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यदि किसी ग्राफ का (x)-अक्ष से कोई साझा बिंदु नहीं है, तो शून्यकों के बारे में क्या निष्कर्ष है?

If a graph has no common point with the (x)-axis, what is the conclusion about its zeroes?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक शून्यक नहींNo real zero

Step 1

Concept

Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक शून्यक नहीं / No real zero. Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.

Step 3

Exam Tip

वास्तविक शून्यक ग्राफ और (x)-अक्ष के साझा बिंदुओं से मिलते हैं। साझा बिंदु न हो तो वास्तविक शून्यक नहीं होगा।

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यदि (p(-6)=0), तो कौन-सा बिंदु ग्राफ पर होगा?

If (p(-6)=0), which point will lie on the graph?

Explanation opens after your attempt
Correct Answer

A. ((-6,0))

Step 1

Concept

(p(-6)=0) means (y=0) at (x=-6). So the point ((-6,0)) lies on the graph.

Step 2

Why this answer is correct

The correct answer is A. ((-6,0)). (p(-6)=0) means (y=0) at (x=-6). So the point ((-6,0)) lies on the graph.

Step 3

Exam Tip

(p(-6)=0) बताता है कि (x=-6) पर (y=0) है। इसलिए बिंदु ((-6,0)) ग्राफ पर होगा।

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ग्राफ में बिंदु ((-8,0)) दिखने पर बहुपद का कौन-सा मान शून्य होगा?

If the point ((-8,0)) appears on the graph, which value of the polynomial input gives zero?

Explanation opens after your attempt
Correct Answer

A. (x=-8)

Step 1

Concept

The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.

Step 2

Why this answer is correct

The correct answer is A. (x=-8). The point ((-8,0)) means (y=0) at (x=-8). So (x=-8) makes the polynomial zero.

Step 3

Exam Tip

((-8,0)) का अर्थ है (x=-8) पर (y=0)। इसलिए (x=-8) बहुपद को शून्य बनाता है।

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कौन सा बहुपद (x=0) को शून्य बनाता है लेकिन शून्य बहुपद नहीं है?

Which polynomial makes (x=0) a zero but is not the zero polynomial?

Explanation opens after your attempt
Correct Answer

B. \(4x^3-7x\)

Step 1

Concept

Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(4x^3-7x\). Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 3

Exam Tip

\(4x^3-7x\) में (x=0) रखने पर (0) मिलता है और यह शून्य बहुपद नहीं है। (x=0) के लिए अचर पद (0) होना चाहिए।

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यदि किसी ग्राफ में (x)-अक्ष से प्रतिच्छेद (\(-\sqrt{3},0\)) है तो शून्यक क्या है?

If a graph has (x)-axis intersection (\(-\sqrt{3},0\)), what is the zero?

Explanation opens after your attempt
Correct Answer

A. \(-\sqrt{3}\)

Step 1

Concept

A zero is the (x)-coordinate of the intercept. An irrational number can also be a zero.

Step 2

Why this answer is correct

The correct answer is A. \(-\sqrt{3}\). A zero is the (x)-coordinate of the intercept. An irrational number can also be a zero.

Step 3

Exam Tip

शून्यक प्रतिच्छेद का (x)-निर्देशांक होता है। अपरिमेय संख्या भी शून्यक हो सकती है।

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शून्य बहुपद (p(x)=0) के ग्राफ के बारे में कौन सा कथन सही है?

Which statement is correct about the graph of the zero polynomial (p(x)=0)?

Explanation opens after your attempt
Correct Answer

A. पूरा ग्राफ (x)-अक्ष हैThe whole graph is the (x)-axis

Step 1

Concept

(p(x)=0) gives (y=0) for every (x). Therefore the whole (x)-axis is the graph.

Step 2

Why this answer is correct

The correct answer is A. पूरा ग्राफ (x)-अक्ष है / The whole graph is the (x)-axis. (p(x)=0) gives (y=0) for every (x). Therefore the whole (x)-axis is the graph.

Step 3

Exam Tip

(p(x)=0) हर (x) के लिए (y=0) देता है। इसलिए पूरा (x)-अक्ष ग्राफ है।

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यदि ग्राफ (x)-अक्ष को ((r,0)) पर काटता है और (r>0) है तो शून्यक के बारे में कौन सा कथन सही है?

If a graph cuts the (x)-axis at ((r,0)) and (r>0), which statement about the zero is correct?

Explanation opens after your attempt
Correct Answer

B. शून्यक धनात्मक हैThe zero is positive

Step 1

Concept

The first coordinate of the intersection is (r), and (r>0). Tip: read the zero (r) from ((r,0)).

Step 2

Why this answer is correct

The correct answer is B. शून्यक धनात्मक है / The zero is positive. The first coordinate of the intersection is (r), and (r>0). Tip: read the zero (r) from ((r,0)).

Step 3

Exam Tip

कटान का पहला निर्देशांक (r) है और (r>0) है। टिप: ((r,0)) से शून्यक (r) पढ़ें।

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यदि आलेख (x)-अक्ष को ((-6,0)), ((-2,0)), ((4,0)) पर काटता है तो सबसे बड़ा शून्यक कौन सा है?

If a graph cuts the (x)-axis at ((-6,0)), ((-2,0)), ((4,0)), which is the greatest zero?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The zeroes are (-6), (-2), (4), and (4) is the greatest. Tip: the value to the right on the number line is greater.

Step 2

Why this answer is correct

The correct answer is C. (4). The zeroes are (-6), (-2), (4), and (4) is the greatest. Tip: the value to the right on the number line is greater.

Step 3

Exam Tip

शून्यक (-6), (-2), (4) हैं और (4) सबसे बड़ा है। टिप: संख्या रेखा पर दाईं ओर का मान बड़ा होता है।

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किसी आलेख में (x)-अक्ष कटान ((r,0)) है। यदि (r<0) है तो शून्यक के बारे में क्या कहा जा सकता है?

A graph has an (x)-axis intersection ((r,0)). If (r<0), what can be said about the zero?

Explanation opens after your attempt
Correct Answer

B. शून्यक ऋणात्मक हैThe zero is negative

Step 1

Concept

The first coordinate (r) of the intersection is the zero, and (r<0). Tip: the same rule works in symbolic questions.

Step 2

Why this answer is correct

The correct answer is B. शून्यक ऋणात्मक है / The zero is negative. The first coordinate (r) of the intersection is the zero, and (r<0). Tip: the same rule works in symbolic questions.

Step 3

Exam Tip

कटान का पहला निर्देशांक (r) ही शून्यक है और (r<0) है। टिप: प्रतीकात्मक प्रश्न में भी नियम वही रहता है।

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यदि (p(x)=0) शून्य बहुपद है तो उसके आलेख पर कौन सा कथन सही है?

If (p(x)=0) is the zero polynomial, which statement about its graph is correct?

Explanation opens after your attempt
Correct Answer

A. आलेख (x)-अक्ष ही हैThe graph is the (x)-axis itself

Step 1

Concept

For the zero polynomial, (y=0) for every (x). Tip: this is a special case.

Step 2

Why this answer is correct

The correct answer is A. आलेख (x)-अक्ष ही है / The graph is the (x)-axis itself. For the zero polynomial, (y=0) for every (x). Tip: this is a special case.

Step 3

Exam Tip

शून्य बहुपद में हर (x) पर (y=0) होता है। टिप: यह विशेष स्थिति है।

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किसी रैखिक बहुपद का आलेख (y=4x+12) है। इसका शून्यक क्या है?

The graph of a linear polynomial is (y=4x+12). What is its zero?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

Solving (4x+12=0) gives (x=-3). Tip: set (y=0) to find the zero.

Step 2

Why this answer is correct

The correct answer is A. (-3). Solving (4x+12=0) gives (x=-3). Tip: set (y=0) to find the zero.

Step 3

Exam Tip

(4x+12=0) से (x=-3) मिलता है। टिप: शून्यक के लिए (y=0) रखें।

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यदि ग्राफ पर ((-2,0)) और ((6,0)) शून्यक बिंदु हैं, तो उनके बीच (x)-अक्ष पर कितनी इकाई की दूरी है?

If ((-2,0)) and ((6,0)) are zero points on a graph, how many units apart are they on the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

The distance is (6-(-2)=8) units. Tip: distance on the (x)-axis is the absolute difference of (x)-values.

Step 2

Why this answer is correct

The correct answer is C. (8). The distance is (6-(-2)=8) units. Tip: distance on the (x)-axis is the absolute difference of (x)-values.

Step 3

Exam Tip

दूरी (6-(-2)=8) इकाई है। टिप: (x)-अक्ष पर दूरी (x)-मानों के अंतर का परिमाण है।

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किस ग्राफ में ठीक एक वास्तविक शून्यक होगा?

Which graph will have exactly one real zero?

Explanation opens after your attempt
Correct Answer

B. जो (x)-अक्ष को एक ही बिंदु पर स्पर्श करेOne that touches the (x)-axis at only one point

Step 1

Concept

One touching point gives one real zero. Tip: zeroes depend on meeting the (x)-axis.

Step 2

Why this answer is correct

The correct answer is B. जो (x)-अक्ष को एक ही बिंदु पर स्पर्श करे / One that touches the (x)-axis at only one point. One touching point gives one real zero. Tip: zeroes depend on meeting the (x)-axis.

Step 3

Exam Tip

एक ही स्पर्श बिंदु एक वास्तविक शून्यक देता है। टिप: शून्यक (x)-अक्ष से मिलने पर निर्भर है।

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यदि आलेख (x)-अक्ष को (-2) पर काटता है तो बहुपद का शून्यक क्या है?

If the graph cuts the (x)-axis at (-2) then what is the zero of the polynomial?

Explanation opens after your attempt
Correct Answer

A. (-2)

Step 1

Concept

The (x)-coordinate of the (x)-axis intersection is the zero. Tip: read the sign carefully.

Step 2

Why this answer is correct

The correct answer is A. (-2). The (x)-coordinate of the (x)-axis intersection is the zero. Tip: read the sign carefully.

Step 3

Exam Tip

(x)-अक्ष कटान का (x)-निर्देशांक ही शून्यक होता है। टिप: चिह्न को ध्यान से पढ़ें।

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यदि बहुपद का आलेख मूल बिंदु ((0,0)) से गुजरता है तो कौन सा शून्यक अवश्य होगा?

If the graph of a polynomial passes through the origin ((0,0)) then which zero is certain?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

At the origin (x=0) and (p(x)=0). Tip: a graph through the origin has (0) as a zero.

Step 2

Why this answer is correct

The correct answer is A. (0). At the origin (x=0) and (p(x)=0). Tip: a graph through the origin has (0) as a zero.

Step 3

Exam Tip

मूल बिंदु पर (x=0) और (p(x)=0) होता है। टिप: origin पर जाने वाला आलेख (0) को शून्यक बनाता है।

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यदि किसी बहुपद का कोई वास्तविक शून्यक नहीं है, तो उसका ग्राफ (x)-अक्ष के साथ क्या करेगा?

If a polynomial has no real zero, what will its graph do with the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. न तो काटेगा न छुएगाIt will neither cut nor touch it

Step 1

Concept

A real zero appears when the graph meets the (x)-axis. With no real zero, the graph will not meet the (x)-axis.

Step 2

Why this answer is correct

The correct answer is A. न तो काटेगा न छुएगा / It will neither cut nor touch it. A real zero appears when the graph meets the (x)-axis. With no real zero, the graph will not meet the (x)-axis.

Step 3

Exam Tip

वास्तविक शून्यक (x)-अक्ष से मिलने पर दिखता है। कोई वास्तविक शून्यक न होने पर ग्राफ (x)-अक्ष से नहीं मिलेगा।

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किसी स्थिर अशून्य बहुपद जैसे (p(x)=5) के ग्राफ से शून्यकों के बारे में क्या पता चलता है?

What does the graph of a non-zero constant polynomial like (p(x)=5) show about its zeroes?

Explanation opens after your attempt
Correct Answer

A. कोई शून्यक नहींNo zero

Step 1

Concept

The graph of (p(x)=5) is a line parallel to the (x)-axis and does not cut it. Hence it has no zero.

Step 2

Why this answer is correct

The correct answer is A. कोई शून्यक नहीं / No zero. The graph of (p(x)=5) is a line parallel to the (x)-axis and does not cut it. Hence it has no zero.

Step 3

Exam Tip

(p(x)=5) का ग्राफ (x)-अक्ष के समानांतर रेखा है जो (x)-अक्ष को नहीं काटती। इसलिए इसका कोई शून्यक नहीं है।

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यदि किसी बहुपद का ग्राफ (x)-अक्ष को (x=3) पर काटता है, तो उसका शून्यक क्या होगा?

If the graph of a polynomial cuts the (x)-axis at (x=3), what is its zero?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The (x)-value where the graph cuts the (x)-axis is the zero. Hence the zero is (3).

Step 2

Why this answer is correct

The correct answer is A. (3). The (x)-value where the graph cuts the (x)-axis is the zero. Hence the zero is (3).

Step 3

Exam Tip

जहाँ ग्राफ (x)-अक्ष को काटता है वही (x)-मान शून्यक होता है। इसलिए यहाँ शून्यक (3) है।

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यदि (p(a)=0), तो ग्राफ किस बिंदु से अवश्य गुजरेगा?

If (p(a)=0), through which point must the graph pass?

Explanation opens after your attempt
Correct Answer

A. ((a,0))

Step 1

Concept

(p(a)=0) means (y=0) at (x=a). Therefore the graph passes through ((a,0)).

Step 2

Why this answer is correct

The correct answer is A. ((a,0)). (p(a)=0) means (y=0) at (x=a). Therefore the graph passes through ((a,0)).

Step 3

Exam Tip

(p(a)=0) का अर्थ है (x=a) पर (y=0)। इसलिए ग्राफ ((a,0)) से गुजरेगा।

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आलेख (x)-अक्ष को केवल ((2,0)) पर स्पर्श करता है। शून्यक कौन सा है?

The graph only touches the (x)-axis at ((2,0)). Which is the zero?

Explanation opens after your attempt
Correct Answer

A. (2)

Step 1

Concept

The (x)-coordinate of the touching point is (2) so the zero is (2). Tip: count a touching point too.

Step 2

Why this answer is correct

The correct answer is A. (2). The (x)-coordinate of the touching point is (2) so the zero is (2). Tip: count a touching point too.

Step 3

Exam Tip

स्पर्श बिंदु का (x)-निर्देशांक (2) है इसलिए शून्यक (2) है। टिप: स्पर्श बिंदु को भी गिनें।

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रेखा (5x-6y=30) के लिए कौन-सा बिंदु सही है और ग्राफ बनाने में उपयोगी हो सकता है?

Which point is correct for (5x-6y=30) and can be useful for drawing the graph?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(0,-5\right\))Point (\left\(0,-5\right\))

Step 1

Concept

Substituting (\left\(0,-5\right\)) gives (5\left\(0\right\)-6\left\(-5\right\)=30). A negative (y)-intercept is plotted downward on the graph.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(0,-5\right\)) / Point (\left\(0,-5\right\)). Substituting (\left\(0,-5\right\)) gives (5\left\(0\right\)-6\left\(-5\right\)=30). A negative (y)-intercept is plotted downward on the graph.

Step 3

Exam Tip

(\left\(0,-5\right\)) रखने पर (5\left\(0\right\)-6\left\(-5\right\)=30)। ऋण (y)-अवरोध ग्राफ में नीचे की ओर लगाया जाता है।

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रेखा (3x-4y=12) के लिए कौन-सा बिंदु सही है और ग्राफ बनाने में उपयोगी हो सकता है?

Which point is correct for (3x-4y=12) and can be useful for drawing the graph?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(0,-3\right\))Point (\left\(0,-3\right\))

Step 1

Concept

Substituting (\left\(0,-3\right\)) gives (3\left\(0\right\)-4\left\(-3\right\)=12). A negative (y)-intercept is plotted downward on the graph.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(0,-3\right\)) / Point (\left\(0,-3\right\)). Substituting (\left\(0,-3\right\)) gives (3\left\(0\right\)-4\left\(-3\right\)=12). A negative (y)-intercept is plotted downward on the graph.

Step 3

Exam Tip

(\left\(0,-3\right\)) रखने पर (3\left\(0\right\)-4\left\(-3\right\)=12)। ऋण (y)-अवरोध ग्राफ में नीचे की ओर लगाया जाता है।

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यदि (p(x)=x-2+20x+100) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2+20x+100), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-10,0))

Step 1

Concept

(x-2+20x+100=(x+10)2), so the touching point is ((-10,0)). Tip: change the sign in a perfect square to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((-10,0)). (x-2+20x+100=(x+10)2), so the touching point is ((-10,0)). Tip: change the sign in a perfect square to get the zero.

Step 3

Exam Tip

(x-2+20x+100=(x+10)2) है, इसलिए स्पर्श बिंदु ((-10,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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यदि (p(x)=x-2-18x+81) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2-18x+81), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((9,0))

Step 1

Concept

(x-2-18x+81=(x-9)2), so the touching point is ((9,0)). Tip: change the sign in a perfect square to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((9,0)). (x-2-18x+81=(x-9)2), so the touching point is ((9,0)). Tip: change the sign in a perfect square to get the zero.

Step 3

Exam Tip

(x-2-18x+81=(x-9)2) है, इसलिए स्पर्श बिंदु ((9,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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यदि (p(x)=x-2+14x+49) है तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2+14x+49), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-7,0))

Step 1

Concept

(x-2+14x+49=(x+7)2), so the touching point is ((-7,0)). Tip: in a perfect square, change the sign to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((-7,0)). (x-2+14x+49=(x+7)2), so the touching point is ((-7,0)). Tip: in a perfect square, change the sign to get the zero.

Step 3

Exam Tip

(x-2+14x+49=(x+7)2) है इसलिए स्पर्श बिंदु ((-7,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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यदि (p(x)=x-2-12x+36) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2-12x+36), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((6,0))

Step 1

Concept

(x-2-12x+36=(x-6)2), so the touching point is ((6,0)). Tip: in a perfect square, change the sign to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((6,0)). (x-2-12x+36=(x-6)2), so the touching point is ((6,0)). Tip: in a perfect square, change the sign to get the zero.

Step 3

Exam Tip

(x-2-12x+36=(x-6)2) है, इसलिए स्पर्श बिंदु ((6,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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यदि (p(x)=x-2+8x+16) है, तो ग्राफ (x)-अक्ष को किस बिंदु पर स्पर्श करेगा?

If (p(x)=x-2+8x+16), at which point will the graph touch the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. ((-4,0))

Step 1

Concept

(x-2+8x+16=(x+4)2), so the touching point is ((-4,0)). Tip: in a perfect square the sign changes to get the zero.

Step 2

Why this answer is correct

The correct answer is A. ((-4,0)). (x-2+8x+16=(x+4)2), so the touching point is ((-4,0)). Tip: in a perfect square the sign changes to get the zero.

Step 3

Exam Tip

(x-2+8x+16=(x+4)2), इसलिए स्पर्श बिंदु ((-4,0)) है। टिप: पूर्ण वर्ग में चिह्न बदलकर शून्यक मिलता है।

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यदि (p(9)=0), तो ग्राफ किस बिंदु से गुजरेगा?

If (p(9)=0), through which point will the graph pass?

Explanation opens after your attempt
Correct Answer

A. ((9,0))

Step 1

Concept

(p(9)=0) means (y=0) when (x=9). Therefore the graph passes through ((9,0)).

Step 2

Why this answer is correct

The correct answer is A. ((9,0)). (p(9)=0) means (y=0) when (x=9). Therefore the graph passes through ((9,0)).

Step 3

Exam Tip

(p(9)=0) का अर्थ है (x=9) पर (y=0)। इसलिए ग्राफ ((9,0)) से गुजरेगा।

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यदि (p(-1)=0), तो ग्राफ किस बिंदु से गुजरेगा?

If (p(-1)=0), through which point will the graph pass?

Explanation opens after your attempt
Correct Answer

A. ((-1,0))

Step 1

Concept

(p(-1)=0) means (y=0) at (x=-1). So the graph passes through ((-1,0)).

Step 2

Why this answer is correct

The correct answer is A. ((-1,0)). (p(-1)=0) means (y=0) at (x=-1). So the graph passes through ((-1,0)).

Step 3

Exam Tip

(p(-1)=0) का अर्थ है (x=-1) पर (y=0)। इसलिए ग्राफ ((-1,0)) से गुजरेगा।

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ग्राफ पर ((3,0)) बिंदु बहुपद के लिए क्या दर्शाता है?

What does the point ((3,0)) on a polynomial graph represent?

Explanation opens after your attempt
Correct Answer

A. (3) बहुपद का शून्यक है(3) is a zero of the polynomial

Step 1

Concept

In ((3,0)), (y=0) and (x=3). Therefore (3) is the zero.

Step 2

Why this answer is correct

The correct answer is A. (3) बहुपद का शून्यक है / (3) is a zero of the polynomial. In ((3,0)), (y=0) and (x=3). Therefore (3) is the zero.

Step 3

Exam Tip

((3,0)) में (y=0) है और (x=3) है। इसलिए (3) शून्यक होगा।

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एक ग्राफ (x)-अक्ष को (x=1) पर पार करता है और (x=4) पर पार करता है। यदि (x=2) पर (p(x)>0), तो (x=2) शून्यक क्यों नहीं है?

A graph crosses the (x)-axis at (x=1) and (x=4). If (p(x)>0) at (x=2), why is (x=2) not a zero?

Explanation opens after your attempt
Correct Answer

B. क्योंकि (p(2)\neq0) हैBecause (p(2)\neq0)

Step 1

Concept

For a zero, the function value must be (0). Tip: being between zeroes does not guarantee being a zero.

Step 2

Why this answer is correct

The correct answer is B. क्योंकि (p(2)\neq0) है / Because (p(2)\neq0). For a zero, the function value must be (0). Tip: being between zeroes does not guarantee being a zero.

Step 3

Exam Tip

शून्यक के लिए फलन मान (0) होना चाहिए। टिप: बीच में होना शून्यक होने की गारंटी नहीं देता।

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एक बिंदु परिप्रेक्ष्य में यदि रेखाएं लुप्त बिंदु से न मिलें तो क्या समस्या होगी?

If lines do not meet the vanishing point in one-point perspective what problem will occur?

Explanation opens after your attempt
Correct Answer

A. गहराई असंगत लगेगीDepth will look inconsistent

Step 1

Concept

Perspective lines make depth logical by relating to vanishing point. Exam tip: check vanishing point direction.

Step 2

Why this answer is correct

The correct answer is A. गहराई असंगत लगेगी / Depth will look inconsistent. Perspective lines make depth logical by relating to vanishing point. Exam tip: check vanishing point direction.

Step 3

Exam Tip

परिप्रेक्ष्य रेखाएं लुप्त बिंदु से जुड़कर गहराई को तार्किक बनाती हैं। परीक्षा में vanishing point की दिशा जांचें।

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यदि कोई ग्राफ (x)-अक्ष को केवल छूता है, तो क्या वह बिंदु शून्यक देगा?

If a graph only touches the (x)-axis, will that point give a zero?

Explanation opens after your attempt
Correct Answer

A. हाँYes

Step 1

Concept

Even when the graph touches, the point lies on the (x)-axis and (y=0). Therefore that point gives a zero.

Step 2

Why this answer is correct

The correct answer is A. हाँ / Yes. Even when the graph touches, the point lies on the (x)-axis and (y=0). Therefore that point gives a zero.

Step 3

Exam Tip

छूने पर भी बिंदु (x)-अक्ष पर होता है और (y=0) होता है। इसलिए वह बिंदु शून्यक देता है।

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किसी स्थिर अशून्य बहुपद (p(x)=-3) का ग्राफ (x)-अक्ष को क्यों नहीं काटता?

Why does the graph of the non-zero constant polynomial (p(x)=-3) not cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (y) हमेशा (-3) रहता हैBecause (y) always remains (-3)

Step 1

Concept

For (p(x)=-3), the (y)-value is never (0). So the graph does not cut the (x)-axis and has no zero.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (y) हमेशा (-3) रहता है / Because (y) always remains (-3). For (p(x)=-3), the (y)-value is never (0). So the graph does not cut the (x)-axis and has no zero.

Step 3

Exam Tip

(p(x)=-3) का (y)-मान कभी (0) नहीं होता। इसलिए ग्राफ (x)-अक्ष को नहीं काटता और कोई शून्यक नहीं है।

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किसी बहुपद का ग्राफ (x)-अक्ष को दो बार काटता है और एक बार उसी बिंदु पर स्पर्श नहीं करता। इसका अर्थ क्या है?

A polynomial graph cuts the (x)-axis twice and does not touch at the same point. What does this mean?

Explanation opens after your attempt
Correct Answer

A. दो अलग वास्तविक शून्यक हैंThere are two distinct real zeroes

Step 1

Concept

Two distinct crossings give two distinct zeroes. Tip: distinct points show distinct (x)-values.

Step 2

Why this answer is correct

The correct answer is A. दो अलग वास्तविक शून्यक हैं / There are two distinct real zeroes. Two distinct crossings give two distinct zeroes. Tip: distinct points show distinct (x)-values.

Step 3

Exam Tip

दो अलग कटान दो अलग शून्यक देते हैं। टिप: अलग बिंदु अलग (x)-मान बताते हैं।

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ग्राफ में (2x-5y=10) की (y)-अवरोध वाली बिंदु कौन सी है?

Which point is the (y)-intercept point of (2x-5y=10) on the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,-2))

Step 1

Concept

For the (y)-intercept, put (x=0), then (-5y=10) and (y=-2). For intercepts, set the correct variable to zero.

Step 2

Why this answer is correct

The correct answer is A. ((0,-2)). For the (y)-intercept, put (x=0), then (-5y=10) and (y=-2). For intercepts, set the correct variable to zero.

Step 3

Exam Tip

(y)-अवरोध के लिए (x=0) रखें, तब (-5y=10) और (y=-2)। अवरोध निकालते समय सही चर को शून्य रखें।

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कौन-सा बिंदु (3x+4y=26) पर है लेकिन (x+y=7) पर नहीं है?

Which point lies on (3x+4y=26) but not on (x+y=7)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(2,5\right\))Point (\left\(2,5\right\))

Step 1

Concept

At (\left\(2,5\right\)), (3\left\(2\right\)+4\left\(5\right\)=26), but (2+5=7) also, so check fully. The correct non-common point is (\left\(4,\frac{7}{2}\right\)).

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(2,5\right\)) / Point (\left\(2,5\right\)). At (\left\(2,5\right\)), (3\left\(2\right\)+4\left\(5\right\)=26), but (2+5=7) also, so check fully. The correct non-common point is (\left\(4,\frac{7}{2}\right\)).

Step 3

Exam Tip

(\left\(2,5\right\)) पर (3\left\(2\right\)+4\left\(5\right\)=26), लेकिन (2+5=7) भी है, इसलिए जाँच पूरी करें। सही अलग बिंदु (\left\(4,\frac{7}{2}\right\)) है।

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कौन-सा बिंदु (2x+5y=27) पर है लेकिन (x+y=9) पर नहीं है?

Which point lies on (2x+5y=27) but not on (x+y=9)?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(1,5\right\))Point (\left\(1,5\right\))

Step 1

Concept

At (\left\(1,5\right\)), (2\left\(1\right\)+5\left\(5\right\)=27), but (1+5=6). To be a common solution, both equations must be true.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(1,5\right\)) / Point (\left\(1,5\right\)). At (\left\(1,5\right\)), (2\left\(1\right\)+5\left\(5\right\)=27), but (1+5=6). To be a common solution, both equations must be true.

Step 3

Exam Tip

(\left\(1,5\right\)) पर (2\left\(1\right\)+5\left\(5\right\)=27), लेकिन (1+5=6)। सामान्य हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।

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कौन-सा बिंदु (2x+3y=24) पर है लेकिन (x+y=10) पर नहीं है?

Which point lies on (2x+3y=24) but not on (x+y=10)?

Explanation opens after your attempt
Correct Answer

B. बिंदु (\left\(3,6\right\))Point (\left\(3,6\right\))

Step 1

Concept

At (\left\(3,6\right\)), (2\left\(3\right\)+3\left\(6\right\)=24), but (3+6=9). For a common solution, both equations must be true.

Step 2

Why this answer is correct

The correct answer is B. बिंदु (\left\(3,6\right\)) / Point (\left\(3,6\right\)). At (\left\(3,6\right\)), (2\left\(3\right\)+3\left\(6\right\)=24), but (3+6=9). For a common solution, both equations must be true.

Step 3

Exam Tip

(\left\(3,6\right\)) पर (2\left\(3\right\)+3\left\(6\right\)=24), लेकिन (3+6=9)। सामान्य हल के लिए दोनों समीकरण सत्य होने चाहिए।

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कौन-सा बिंदु (4x+y=18) पर है लेकिन (x+y=9) पर नहीं है?

Which point lies on (4x+y=18) but not on (x+y=9)?

Explanation opens after your attempt
Correct Answer

A. ( (4,2) )

Step 1

Concept

At ( (4,2) ), (4(4)+2=18), but (4+2=6). For a common solution, the point must satisfy both equations.

Step 2

Why this answer is correct

The correct answer is A. ( (4,2) ). At ( (4,2) ), (4(4)+2=18), but (4+2=6). For a common solution, the point must satisfy both equations.

Step 3

Exam Tip

( (4,2) ) पर (4(4)+2=18), लेकिन (4+2=6)। सामान्य हल के लिए बिंदु को दोनों समीकरण संतुष्ट करने चाहिए।

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कौन-सा बिंदु (3x+2y=16) पर है लेकिन (x+y=7) पर नहीं है?

Which point lies on (3x+2y=16) but not on (x+y=7)?

Explanation opens after your attempt
Correct Answer

B. ( (4,2) )

Step 1

Concept

At ( (4,2) ), (3(4)+2(2)=16), but (4+2=6). To be a solution of both lines, both equations must be true.

Step 2

Why this answer is correct

The correct answer is B. ( (4,2) ). At ( (4,2) ), (3(4)+2(2)=16), but (4+2=6). To be a solution of both lines, both equations must be true.

Step 3

Exam Tip

( (4,2) ) पर (3(4)+2(2)=16), लेकिन (4+2=6)। दोनों रेखाओं का हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।

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कौन-सा बिंदु रेखा (2x+3y=19) पर है लेकिन रेखा (x+y=8) पर नहीं है?

Which point lies on the line (2x+3y=19) but not on the line (x+y=8)?

Explanation opens after your attempt
Correct Answer

B. ( (2,5) )

Step 1

Concept

At ( (2,5) ), (2(2)+3(5)=19), but (2+5=7). To be a solution of both lines, both equations must be true.

Step 2

Why this answer is correct

The correct answer is B. ( (2,5) ). At ( (2,5) ), (2(2)+3(5)=19), but (2+5=7). To be a solution of both lines, both equations must be true.

Step 3

Exam Tip

( (2,5) ) पर (2(2)+3(5)=19), लेकिन (2+5=7) है। दोनों रेखाओं का हल बनने के लिए दोनों समीकरण सत्य होने चाहिए।

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कौन सा बिंदु (x=9) को शून्यक साबित करता है?

Which point proves that (x=9) is a zero?

Explanation opens after your attempt
Correct Answer

A. ((9,0))

Step 1

Concept

A zero (x=9) means (p(9)=0). Tip: place the zero as the first coordinate.

Step 2

Why this answer is correct

The correct answer is A. ((9,0)). A zero (x=9) means (p(9)=0). Tip: place the zero as the first coordinate.

Step 3

Exam Tip

(x=9) शून्यक होने का अर्थ (p(9)=0) है। टिप: शून्यक को पहले निर्देशांक में रखें।

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कौन सा बिंदु किसी बहुपद के शून्यक को सीधे दिखाता है?

Which point directly shows a zero of a polynomial?

Explanation opens after your attempt
Correct Answer

A. ((9,0))

Step 1

Concept

A point showing a zero has (y)-coordinate (0). Tip: choose points lying on the (x)-axis.

Step 2

Why this answer is correct

The correct answer is A. ((9,0)). A point showing a zero has (y)-coordinate (0). Tip: choose points lying on the (x)-axis.

Step 3

Exam Tip

शून्यक वाले बिंदु का (y)-निर्देशांक (0) होता है। टिप: (x)-अक्ष पर पड़े बिंदु चुनें।

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किसी बहुपद के ग्राफ पर ((2,0)), ((3,4)), ((4,0)) और ((5,-1)) बिंदु हैं। (p(3)) और (p(5)) को शून्यक क्यों नहीं कहा जाएगा?

The points ((2,0)), ((3,4)), ((4,0)) and ((5,-1)) lie on a polynomial graph. Why will (3) and (5) not be called zeroes?

Explanation opens after your attempt
Correct Answer

B. क्योंकि उनके (y)-मान (0) नहीं हैंBecause their (y)-values are not (0)

Step 1

Concept

At (3) and (5), (p(x)) is (4) and (-1). Tip: for a zero, the function value must be exactly (0).

Step 2

Why this answer is correct

The correct answer is B. क्योंकि उनके (y)-मान (0) नहीं हैं / Because their (y)-values are not (0). At (3) and (5), (p(x)) is (4) and (-1). Tip: for a zero, the function value must be exactly (0).

Step 3

Exam Tip

(3) और (5) पर (p(x)) क्रमशः (4) और (-1) है। टिप: शून्यक के लिए फलन मान बिल्कुल (0) होना चाहिए।

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यदि ग्राफ केवल (x= -6) पर (x)-अक्ष को काटता है और बाकी जगह अक्ष से दूर रहता है तो शून्यक क्या है?

If a graph cuts the (x)-axis only at (x=-6) and stays away from the axis elsewhere, what is the zero?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

Only at (x=-6) the value of (y) is (0). Hence the zero is (-6).

Step 2

Why this answer is correct

The correct answer is A. (-6). Only at (x=-6) the value of (y) is (0). Hence the zero is (-6).

Step 3

Exam Tip

केवल (x=-6) पर (y=0) है। इसलिए शून्यक (-6) है।

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किसी बहुपद का ग्राफ (x)-अक्ष को ((-9,0)), ((-1,0)) और ((4,0)) पर काटता है। सबसे बड़ा शून्यक कौन सा है?

A polynomial graph cuts the (x)-axis at ((-9,0)), ((-1,0)) and ((4,0)). Which is the greatest zero?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The zeroes are (-9), (-1), (4) and the greatest is (4). Tip: the value to the right on the number line is greater.

Step 2

Why this answer is correct

The correct answer is C. (4). The zeroes are (-9), (-1), (4) and the greatest is (4). Tip: the value to the right on the number line is greater.

Step 3

Exam Tip

शून्यक (-9), (-1), (4) हैं और सबसे बड़ा (4) है। टिप: संख्या रेखा पर दाईं ओर वाला मान बड़ा होता है।

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यदि ग्राफ (x)-अक्ष को ((-3,0)), ((2,0)), ((8,0)) पर काटता है, तो सबसे छोटा शून्यक कौन सा है?

If a graph cuts the (x)-axis at ((-3,0)), ((2,0)), ((8,0)), which is the smallest zero?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

The zeroes are (-3), (2), (8), and the smallest is (-3). Tip: a negative number is smaller than a positive number.

Step 2

Why this answer is correct

The correct answer is A. (-3). The zeroes are (-3), (2), (8), and the smallest is (-3). Tip: a negative number is smaller than a positive number.

Step 3

Exam Tip

शून्यक (-3), (2), (8) हैं और सबसे छोटा (-3) है। टिप: ऋणात्मक संख्या धनात्मक से छोटी होती है।

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यदि रेखा (y=5-x) का आलेख दिया हो तो शून्यक क्या होगा?

If the graph of the line (y=5-x) is given then what is the zero?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

From (5-x=0) we get (x=5). Tip: take (y) as (0) for the zero.

Step 2

Why this answer is correct

The correct answer is A. (5). From (5-x=0) we get (x=5). Tip: take (y) as (0) for the zero.

Step 3

Exam Tip

(5-x=0) से (x=5) मिलता है। टिप: शून्यक के लिए (y) को (0) मानें।

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अशून्य स्थिर बहुपद (p(x)=5) के आलेख का (x)-अक्ष से संबंध क्या है?

What is the relation of the graph of the non-zero constant polynomial (p(x)=5) with the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. यह (x)-अक्ष के समांतर है और उसे नहीं काटताIt is parallel to the (x)-axis and does not cut it

Step 1

Concept

The value (p(x)=5) is never (0) so it has no zero. Tip: a non-zero constant polynomial has no zero.

Step 2

Why this answer is correct

The correct answer is A. यह (x)-अक्ष के समांतर है और उसे नहीं काटता / It is parallel to the (x)-axis and does not cut it. The value (p(x)=5) is never (0) so it has no zero. Tip: a non-zero constant polynomial has no zero.

Step 3

Exam Tip

(p(x)=5) कभी (0) नहीं होता इसलिए शून्यक नहीं है। टिप: अशून्य स्थिर बहुपद का शून्यक नहीं होता।

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किसी बहुपद (p(x)) का शून्यक आलेख में किससे दर्शाया जाता है?

What represents a zero of a polynomial (p(x)) on its graph?

Explanation opens after your attempt
Correct Answer

A. जहाँ आलेख (x)-अक्ष को काटता हैWhere the graph cuts the (x)-axis

Step 1

Concept

At a zero (p(x)=0) so the point lies on the (x)-axis. Tip: on the (x)-axis (y=0).

Step 2

Why this answer is correct

The correct answer is A. जहाँ आलेख (x)-अक्ष को काटता है / Where the graph cuts the (x)-axis. At a zero (p(x)=0) so the point lies on the (x)-axis. Tip: on the (x)-axis (y=0).

Step 3

Exam Tip

शून्यक पर (p(x)=0) होता है इसलिए बिंदु (x)-अक्ष पर होता है। टिप: (x)-अक्ष पर (y=0) होता है।

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यदि (p(x)) का ग्राफ मूल बिंदु से गुजरता है, तो कौन-सा मान शून्यक है?

If the graph of (p(x)) passes through the origin, which value is a zero?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The origin is ((0,0)), so (p(x)=0) at (x=0). Hence (0) is a zero.

Step 2

Why this answer is correct

The correct answer is A. (0). The origin is ((0,0)), so (p(x)=0) at (x=0). Hence (0) is a zero.

Step 3

Exam Tip

मूल बिंदु ((0,0)) है, इसलिए (x=0) पर (p(x)=0)। अतः (0) शून्यक है।

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यदि ग्राफ ((0,7)) से गुजरता है, तो क्या इससे (0) शून्यक सिद्ध होता है?

If a graph passes through ((0,7)), does it prove that (0) is a zero?

Explanation opens after your attempt
Correct Answer

A. नहीं, क्योंकि (y=7) हैNo, because (y=7)

Step 1

Concept

For a zero, (y=0) is needed. In ((0,7)), (y=7), so (0) is not a zero.

Step 2

Why this answer is correct

The correct answer is A. नहीं, क्योंकि (y=7) है / No, because (y=7). For a zero, (y=0) is needed. In ((0,7)), (y=7), so (0) is not a zero.

Step 3

Exam Tip

शून्यक के लिए (y=0) चाहिए। ((0,7)) में (y=7) है, इसलिए (0) शून्यक नहीं है।

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यदि ग्राफ (x)-अक्ष को ((-4,0)) पर काटता है, तो कौन-सा मान बहुपद को शून्य बनाता है?

If a graph cuts the (x)-axis at ((-4,0)), which value makes the polynomial zero?

Explanation opens after your attempt
Correct Answer

A. (-4)

Step 1

Concept

The (x)-coordinate of the intersection point is (-4). Therefore the polynomial value is (0) at (x=-4).

Step 2

Why this answer is correct

The correct answer is A. (-4). The (x)-coordinate of the intersection point is (-4). Therefore the polynomial value is (0) at (x=-4).

Step 3

Exam Tip

कटाव बिंदु का (x)-निर्देशांक (-4) है। इसलिए (x=-4) पर बहुपद का मान (0) होगा।

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बहुपद (p(x)) के ग्राफ में (y=p(x)) होता है। शून्यक पर (y) का मान क्या होगा?

In the graph of polynomial (p(x)), (y=p(x)). What is the value of (y) at a zero?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

At a zero, the value of the polynomial is (0). Therefore the (y)-value at that point on the graph is (0).

Step 2

Why this answer is correct

The correct answer is A. (0). At a zero, the value of the polynomial is (0). Therefore the (y)-value at that point on the graph is (0).

Step 3

Exam Tip

शून्यक पर बहुपद का मान (0) होता है। इसलिए ग्राफ पर उस बिंदु का (y)-मान (0) होगा।

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यदि (p(a)=0) और (p(b)=0), जहाँ \(a\neq b\), तो आलेख (x)-अक्ष को किन बिंदुओं पर काटेगा?

If (p(a)=0) and (p(b)=0), where \(a\neq b\), at which points will the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

C. ((a,0)) और ((b,0))((a,0)) and ((b,0))

Step 1

Concept

The value (p(a)=0) gives the point ((a,0)). Tip: (p(x)) is the (y)-coordinate on the graph.

Step 2

Why this answer is correct

The correct answer is C. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0)). The value (p(a)=0) gives the point ((a,0)). Tip: (p(x)) is the (y)-coordinate on the graph.

Step 3

Exam Tip

(p(a)=0) का बिंदु ((a,0)) होता है। टिप: (p(x)) ग्राफ में (y)-निर्देशांक होता है।

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यदि किसी ग्राफ के लिए (p(-3)<0), (p(1)=0), और (p(4)>0) है तो निश्चित शून्यक कौन सा है?

If for a graph (p(-3)<0), (p(1)=0), and (p(4)>0), which zero is certain?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

Only (p(1)=0) directly gives a zero. Positive or negative values are not zeroes.

Step 2

Why this answer is correct

The correct answer is A. (1). Only (p(1)=0) directly gives a zero. Positive or negative values are not zeroes.

Step 3

Exam Tip

केवल (p(1)=0) सीधे शून्यक बताता है। धनात्मक या ऋणात्मक मान शून्यक नहीं होते।

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एक छात्र कहता है कि यदि ग्राफ (y)-अक्ष को ((0,0)) पर काटता है, तो (0) शून्यक नहीं हो सकता क्योंकि यह (y)-अक्ष पर है। सही निर्णय क्या है?

A student says that if a graph cuts the (y)-axis at ((0,0)), then (0) cannot be a zero because it is on the (y)-axis. What is the correct decision?

Explanation opens after your attempt
Correct Answer

B. कथन गलत है क्योंकि ((0,0)) (x)-अक्ष पर भी हैThe statement is wrong because ((0,0)) is also on the (x)-axis

Step 1

Concept

The origin lies on both axes, so (p(0)=0). Tip: treat ((0,0)) as a special point.

Step 2

Why this answer is correct

The correct answer is B. कथन गलत है क्योंकि ((0,0)) (x)-अक्ष पर भी है / The statement is wrong because ((0,0)) is also on the (x)-axis. The origin lies on both axes, so (p(0)=0). Tip: treat ((0,0)) as a special point.

Step 3

Exam Tip

मूल बिंदु दोनों अक्षों पर होता है, इसलिए (p(0)=0) है। टिप: ((0,0)) को विशेष बिंदु समझें।

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यदि किसी ग्राफ पर ((2,3)) और ((5,0)) हैं तो कौन सा (x)-मान निश्चित शून्यक है?

If ((2,3)) and ((5,0)) lie on a graph, which (x)-value is definitely a zero?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

In ((5,0)), (y=0), so (5) is a zero. Tip: ((2,3)) does not show a zero.

Step 2

Why this answer is correct

The correct answer is C. (5). In ((5,0)), (y=0), so (5) is a zero. Tip: ((2,3)) does not show a zero.

Step 3

Exam Tip

((5,0)) में (y=0) है इसलिए (5) शून्यक है। टिप: ((2,3)) शून्यक नहीं दिखाता।

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यदि ग्राफ (x)-अक्ष को ((-12,0)) और ((-4,0)) पर काटता है तो बड़ा शून्यक कौन सा है?

If a graph cuts the (x)-axis at ((-12,0)) and ((-4,0)), which zero is greater?

Explanation opens after your attempt
Correct Answer

B. (-4)

Step 1

Concept

The number (-4) lies to the right of (-12) on the number line. Tip: the less negative number is greater.

Step 2

Why this answer is correct

The correct answer is B. (-4). The number (-4) lies to the right of (-12) on the number line. Tip: the less negative number is greater.

Step 3

Exam Tip

(-4) संख्या रेखा पर (-12) से दाईं ओर है। टिप: कम ऋणात्मक संख्या बड़ी होती है।

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यदि किसी ग्राफ का केवल एक (x)-अक्ष कटान ((-5,0)) है और वह वहाँ पार करता है, तो वास्तविक शून्यक कौन सा है?

If a graph has only one (x)-axis intersection ((-5,0)) and it crosses there, what is the real zero?

Explanation opens after your attempt
Correct Answer

B. (-5)

Step 1

Concept

The (x)-value (-5) of the intersection point is the zero. Tip: do not change the negative sign.

Step 2

Why this answer is correct

The correct answer is B. (-5). The (x)-value (-5) of the intersection point is the zero. Tip: do not change the negative sign.

Step 3

Exam Tip

कटान बिंदु का (x)-मान (-5) शून्यक है। टिप: ऋण चिह्न को न बदलें।

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बहुपद (p(x)=2x-6) का शून्यक आलेख में किस (x)-मान पर दिखेगा?

At which (x)-value will the zero of (p(x)=2x-6) appear on the graph?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

Solving (2x-6=0) gives (x=3). Tip: first put (p(x)=0).

Step 2

Why this answer is correct

The correct answer is A. (3). Solving (2x-6=0) gives (x=3). Tip: first put (p(x)=0).

Step 3

Exam Tip

(2x-6=0) से (x=3) होता है। टिप: पहले (p(x)=0) रखें।

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यदि किसी परवलय का एक ही वास्तविक शून्यक है, तो ग्राफ (x)-अक्ष से कैसे मिलेगा?

If a parabola has exactly one real zero, how will its graph meet the (x)-axis?

Explanation opens after your attempt
Correct Answer

A. एक बिंदु पर छुएगाIt will touch at one point

Step 1

Concept

One real zero means the graph meets the (x)-axis at only one point. For a parabola, this is usually the touching case.

Step 2

Why this answer is correct

The correct answer is A. एक बिंदु पर छुएगा / It will touch at one point. One real zero means the graph meets the (x)-axis at only one point. For a parabola, this is usually the touching case.

Step 3

Exam Tip

एक वास्तविक शून्यक का अर्थ है ग्राफ (x)-अक्ष से केवल एक बिंदु पर मिलता है। परवलय में यह सामान्यतः छूने की स्थिति होती है।

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यदि (p(x)=x), तो ग्राफ का शून्यक क्या है?

If (p(x)=x), what is the zero of the graph?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

For the zero, (x=0) because (p(x)=x). The graph passes through the origin.

Step 2

Why this answer is correct

The correct answer is A. (0). For the zero, (x=0) because (p(x)=x). The graph passes through the origin.

Step 3

Exam Tip

शून्यक के लिए (x=0) होना चाहिए क्योंकि (p(x)=x)। ग्राफ मूल बिंदु से गुजरता है।

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यदि रेखा (y=x+7) का ग्राफ (x)-अक्ष को काटता है, तो शून्यक क्या होगा?

If the graph of the line (y=x+7) cuts the (x)-axis, what is the zero?

Explanation opens after your attempt
Correct Answer

B. (-7)

Step 1

Concept

On the (x)-axis, (y=0), so (x+7=0) gives (x=-7). Watch the negative sign carefully.

Step 2

Why this answer is correct

The correct answer is B. (-7). On the (x)-axis, (y=0), so (x+7=0) gives (x=-7). Watch the negative sign carefully.

Step 3

Exam Tip

(x)-अक्ष पर (y=0), इसलिए (x+7=0) से (x=-7) मिलता है। ऋण चिह्न को ध्यान से देखें।

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यदि (p(x)=x+2) का ग्राफ (x)-अक्ष को काटता है, तो शून्यक कौन-सा है?

If the graph of (p(x)=x+2) cuts the (x)-axis, which is the zero?

Explanation opens after your attempt
Correct Answer

B. (-2)

Step 1

Concept

For the zero, (x+2=0), so (x=-2). The graph cuts the (x)-axis at (x=-2).

Step 2

Why this answer is correct

The correct answer is B. (-2). For the zero, (x+2=0), so (x=-2). The graph cuts the (x)-axis at (x=-2).

Step 3

Exam Tip

शून्यक के लिए (x+2=0), इसलिए (x=-2)। ग्राफ (x)-अक्ष को (x=-2) पर काटेगा।

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यदि (p(x)=x-4) का ग्राफ (x)-अक्ष को काटता है, तो शून्यक क्या होगा?

If the graph of (p(x)=x-4) cuts the (x)-axis, what is the zero?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

For the zero, (x-4=0), so (x=4). The graph also cuts the (x)-axis at (x=4).

Step 2

Why this answer is correct

The correct answer is A. (4). For the zero, (x-4=0), so (x=4). The graph also cuts the (x)-axis at (x=4).

Step 3

Exam Tip

शून्यक के लिए (x-4=0), इसलिए (x=4)। ग्राफ भी (x)-अक्ष को (x=4) पर काटेगा।

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यदि ग्राफ (x)-अक्ष को ((0,0)) पर काटता है, तो बहुपद का एक शून्यक क्या होगा?

If a graph cuts the (x)-axis at ((0,0)), what is one zero of the polynomial?

Explanation opens after your attempt
Correct Answer

A. (0)

Step 1

Concept

The (x)-coordinate of ((0,0)) is (0). Therefore (0) is one zero of the polynomial.

Step 2

Why this answer is correct

The correct answer is A. (0). The (x)-coordinate of ((0,0)) is (0). Therefore (0) is one zero of the polynomial.

Step 3

Exam Tip

बिंदु ((0,0)) का (x)-निर्देशांक (0) है। इसलिए (0) बहुपद का एक शून्यक होगा।

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ग्राफ में यदि दो रेखाएं केवल एक बिंदु पर कटें तो हल-प्रकार क्या है?

If two lines intersect at exactly one point in a graph then what is the solution type?

Explanation opens after your attempt
Correct Answer

B. एक अद्वितीय हलOne unique solution

Step 1

Concept

One intersection point is the common solution of both equations. Therefore exactly one unique solution is obtained.

Step 2

Why this answer is correct

The correct answer is B. एक अद्वितीय हल / One unique solution. One intersection point is the common solution of both equations. Therefore exactly one unique solution is obtained.

Step 3

Exam Tip

कटने का एक बिंदु दोनों समीकरणों का सामान्य हल होता है। इसलिए केवल एक अद्वितीय हल मिलता है।

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ग्राफ में यदि दो रेखाएं केवल एक बिंदु पर मिलें तो युग्म कैसा है?

If two lines meet only at one point in a graph then what type of pair is it?

Explanation opens after your attempt
Correct Answer

A. संगत और स्वतंत्रConsistent and independent

Step 1

Concept

One common point gives one unique solution. Therefore it is a consistent and independent pair.

Step 2

Why this answer is correct

The correct answer is A. संगत और स्वतंत्र / Consistent and independent. One common point gives one unique solution. Therefore it is a consistent and independent pair.

Step 3

Exam Tip

एक सामान्य बिंदु होने से एक अद्वितीय हल मिलता है। इसलिए यह संगत और स्वतंत्र युग्म है।

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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(-\frac{7}{3},\frac{2}{3}\right\)) है, तो (x-y) का मान क्या होगा?

If the intersection point on the graph is (\left\(-\frac{7}{3},\frac{2}{3}\right\)), what will be the value of (x-y)?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

Here \(x-y=-\frac{7}{3}-\frac{2}{3}=-3\). Values of (x) and (y) are read directly from the intersection point.

Step 2

Why this answer is correct

The correct answer is A. (-3). Here \(x-y=-\frac{7}{3}-\frac{2}{3}=-3\). Values of (x) and (y) are read directly from the intersection point.

Step 3

Exam Tip

यहाँ \(x-y=-\frac{7}{3}-\frac{2}{3}=-3\)। प्रतिच्छेद बिंदु से (x) और (y) के मान सीधे पढ़े जाते हैं।

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यदि ग्राफ में प्रतिच्छेद बिंदु (\left\(3.75,-2.5\right\)) पढ़ा गया है, तो भिन्न रूप क्या होगा?

If the intersection point is read as (\left\(3.75,-2.5\right\)) on a graph, what is its fraction form?

Explanation opens after your attempt
Correct Answer

A. (\left\(\frac{15}{4},-\frac{5}{2}\right\))

Step 1

Concept

\(3.75=\frac{15}{4}\) and \(-2.5=-\frac{5}{2}\). It is better to convert decimal coordinates into simplified fractions.

Step 2

Why this answer is correct

The correct answer is A. (\left\(\frac{15}{4},-\frac{5}{2}\right\)). \(3.75=\frac{15}{4}\) and \(-2.5=-\frac{5}{2}\). It is better to convert decimal coordinates into simplified fractions.

Step 3

Exam Tip

\(3.75=\frac{15}{4}\) और \(-2.5=-\frac{5}{2}\)। दशमलव निर्देशांक को सरल भिन्न में बदलना बेहतर रहता है।

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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(-\frac{5}{2},3\right\)) है, तो सही हल क्या है?

If the intersection point on the graph is (\left\(-\frac{5}{2},3\right\)), what is the correct solution?

Explanation opens after your attempt
Correct Answer

B. \(x=-\frac{5}{2},\ y=3\)

Step 1

Concept

The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.

Step 2

Why this answer is correct

The correct answer is B. \(x=-\frac{5}{2},\ y=3\). The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.

Step 3

Exam Tip

बिंदु में पहला निर्देशांक (x) और दूसरा (y) होता है। ऋण भिन्न निर्देशांक पढ़ते समय क्रम न बदलें।

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यदि ग्राफ में प्रतिच्छेद बिंदु (\left\(2.25,-1.5\right\)) पढ़ा गया है, तो भिन्न रूप क्या होगा?

If the intersection point is read as (\left\(2.25,-1.5\right\)) on a graph, what is its fraction form?

Explanation opens after your attempt
Correct Answer

A. (\left\(\frac{9}{4},-\frac{3}{2}\right\))

Step 1

Concept

\(2.25=\frac{9}{4}\) and \(-1.5=-\frac{3}{2}\). It is better to convert decimal coordinates into simplified fractions.

Step 2

Why this answer is correct

The correct answer is A. (\left\(\frac{9}{4},-\frac{3}{2}\right\)). \(2.25=\frac{9}{4}\) and \(-1.5=-\frac{3}{2}\). It is better to convert decimal coordinates into simplified fractions.

Step 3

Exam Tip

\(2.25=\frac{9}{4}\) और \(-1.5=-\frac{3}{2}\)। दशमलव निर्देशांक को सरल भिन्न में बदलना बेहतर रहता है।

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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(-\frac{3}{2},4\right\)) है, तो सही हल क्या है?

If the intersection point on the graph is (\left\(-\frac{3}{2},4\right\)), what is the correct solution?

Explanation opens after your attempt
Correct Answer

B. \(x=-\frac{3}{2},\ y=4\)

Step 1

Concept

The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.

Step 2

Why this answer is correct

The correct answer is B. \(x=-\frac{3}{2},\ y=4\). The first coordinate of a point is (x) and the second is (y). Do not change order while reading negative fraction coordinates.

Step 3

Exam Tip

बिंदु में पहला निर्देशांक (x) और दूसरा (y) होता है। ऋण भिन्न निर्देशांक पढ़ते समय क्रम न बदलें।

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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(\frac{7}{2},\frac{5}{2}\right\)) है, तो दशमलव रूप क्या होगा?

If the intersection point on the graph is (\left\(\frac{7}{2},\frac{5}{2}\right\)), what is its decimal form?

Explanation opens after your attempt
Correct Answer

A. बिंदु (\left\(3.5,2.5\right\))Point (\left\(3.5,2.5\right\))

Step 1

Concept

\(\frac{7}{2}=3.5\) and \(\frac{5}{2}=2.5\). While reading a graph, understand the relation between fraction and decimal forms.

Step 2

Why this answer is correct

The correct answer is A. बिंदु (\left\(3.5,2.5\right\)) / Point (\left\(3.5,2.5\right\)). \(\frac{7}{2}=3.5\) and \(\frac{5}{2}=2.5\). While reading a graph, understand the relation between fraction and decimal forms.

Step 3

Exam Tip

\(\frac{7}{2}=3.5\) और \(\frac{5}{2}=2.5\)। ग्राफ पढ़ते समय भिन्न और दशमलव रूप का संबंध समझें।

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यदि ग्राफ में प्रतिच्छेद बिंदु (\left\(4.5,1.5\right\)) पढ़ा गया है, तो इसे भिन्न में कैसे लिखेंगे?

If the intersection point is read as (\left\(4.5,1.5\right\)) on a graph, how will it be written in fractions?

Explanation opens after your attempt
Correct Answer

A. (\left\(\frac{9}{2},\frac{3}{2}\right\))

Step 1

Concept

\(4.5=\frac{9}{2}\) and \(1.5=\frac{3}{2}\). Write decimal coordinates read from a graph as simplified fractions.

Step 2

Why this answer is correct

The correct answer is A. (\left\(\frac{9}{2},\frac{3}{2}\right\)). \(4.5=\frac{9}{2}\) and \(1.5=\frac{3}{2}\). Write decimal coordinates read from a graph as simplified fractions.

Step 3

Exam Tip

\(4.5=\frac{9}{2}\) और \(1.5=\frac{3}{2}\)। ग्राफ से मिले दशमलव निर्देशांक को सरल भिन्न में लिखें।

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यदि ग्राफ पर प्रतिच्छेद बिंदु (\left\(-4,3\right\)) है, तो सही हल क्या है?

If the intersection point on the graph is (\left\(-4,3\right\)), what is the correct solution?

Explanation opens after your attempt
Correct Answer

A. (x=-4,\ y=3)

Step 1

Concept

In the point (\left\(-4,3\right\)), the first coordinate is (x) and the second is (y). Do not change order with negative coordinates.

Step 2

Why this answer is correct

The correct answer is A. (x=-4,\ y=3). In the point (\left\(-4,3\right\)), the first coordinate is (x) and the second is (y). Do not change order with negative coordinates.

Step 3

Exam Tip

बिंदु (\left\(-4,3\right\)) में पहला निर्देशांक (x) और दूसरा (y) होता है। ऋण निर्देशांक में क्रम न बदलें।

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यदि ग्राफ में प्रतिच्छेद बिंदु ( \left\(3.5,2.5\right\) ) पढ़ा गया है, तो इसे भिन्न में कैसे लिखेंगे?

If the intersection point is read as ( \left\(3.5,2.5\right\) ) on a graph, how will it be written in fractions?

Explanation opens after your attempt
Correct Answer

A. ( \left\(\frac{7}{2},\frac{5}{2}\right\) )

Step 1

Concept

\(3.5=\frac{7}{2}\) and \(2.5=\frac{5}{2}\). Write decimal coordinates read from a graph as simplified fractions.

Step 2

Why this answer is correct

The correct answer is A. ( \left\(\frac{7}{2},\frac{5}{2}\right\) ). \(3.5=\frac{7}{2}\) and \(2.5=\frac{5}{2}\). Write decimal coordinates read from a graph as simplified fractions.

Step 3

Exam Tip

\(3.5=\frac{7}{2}\) और \(2.5=\frac{5}{2}\)। ग्राफ से मिले दशमलव निर्देशांक को सरल भिन्न में लिखें।

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यदि ग्राफ में प्रतिच्छेद बिंदु ( \left\(2.5,1.5\right\) ) पढ़ा गया है, तो हल को भिन्न में कैसे लिखेंगे?

If the intersection point is read as ( \left\(2.5,1.5\right\) ) on a graph, how will the solution be written in fractions?

Explanation opens after your attempt
Correct Answer

A. ( \left\(\frac{5}{2},\frac{3}{2}\right\) )

Step 1

Concept

\(2.5=\frac{5}{2}\) and \(1.5=\frac{3}{2}\). When reading decimals from a graph, write them as simplified fractions.

Step 2

Why this answer is correct

The correct answer is A. ( \left\(\frac{5}{2},\frac{3}{2}\right\) ). \(2.5=\frac{5}{2}\) and \(1.5=\frac{3}{2}\). When reading decimals from a graph, write them as simplified fractions.

Step 3

Exam Tip

\(2.5=\frac{5}{2}\) और \(1.5=\frac{3}{2}\)। ग्राफ से दशमलव बिंदु पढ़ने पर सरल भिन्न में लिखें।

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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (15,2) ) है, तो (x) का मान क्या है?

If the intersection point on the graph is ( (15,2) ), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

D. (15)

Step 1

Concept

In the point ( (15,2) ), the first coordinate is (x). Therefore, (x=15).

Step 2

Why this answer is correct

The correct answer is D. (15). In the point ( (15,2) ), the first coordinate is (x). Therefore, (x=15).

Step 3

Exam Tip

बिंदु ( (15,2) ) में पहला निर्देशांक (x) होता है। इसलिए (x=15) है।

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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (7,13) ) है, तो (y) का मान क्या है?

If the intersection point on the graph is ( (7,13) ), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

In the point ( (7,13) ), the second coordinate is (y). Therefore, (y=13).

Step 2

Why this answer is correct

The correct answer is C. (13). In the point ( (7,13) ), the second coordinate is (y). Therefore, (y=13).

Step 3

Exam Tip

बिंदु ( (7,13) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=13) है।

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ग्राफ पर दो रेखाएँ एक ही बिंदु पर कटें, तो युग्म कैसा कहलाता है?

If two lines cut at exactly one point on a graph, what is the pair called?

Explanation opens after your attempt
Correct Answer

C. संगत और स्वतंत्रConsistent and independent

Step 1

Concept

One intersection point gives a unique solution. Hence, the pair is consistent and independent.

Step 2

Why this answer is correct

The correct answer is C. संगत और स्वतंत्र / Consistent and independent. One intersection point gives a unique solution. Hence, the pair is consistent and independent.

Step 3

Exam Tip

एक प्रतिच्छेद बिंदु एक अद्वितीय हल देता है। इसलिए युग्म संगत और स्वतंत्र होता है।

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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (12,1) ) है, तो (x) का मान क्या है?

If the intersection point on the graph is ( (12,1) ), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

D. (12)

Step 1

Concept

In the point ( (12,1) ), the first coordinate is (x). Therefore, (x=12).

Step 2

Why this answer is correct

The correct answer is D. (12). In the point ( (12,1) ), the first coordinate is (x). Therefore, (x=12).

Step 3

Exam Tip

बिंदु ( (12,1) ) में पहला निर्देशांक (x) होता है। इसलिए (x=12) है।

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यदि ग्राफ पर प्रतिच्छेद बिंदु ( (3,10) ) है, तो (y) का मान क्या है?

If the intersection point on the graph is ( (3,10) ), what is the value of (y)?

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Correct Answer

C. (10)

Step 1

Concept

In the point ( (3,10) ), the second coordinate is (y). Therefore, (y=10).

Step 2

Why this answer is correct

The correct answer is C. (10). In the point ( (3,10) ), the second coordinate is (y). Therefore, (y=10).

Step 3

Exam Tip

बिंदु ( (3,10) ) में दूसरा निर्देशांक (y) होता है। इसलिए (y=10) है।

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