Concept-wise Practice

intercepts MCQ Questions for Class 10

intercepts se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

30 questions tagged with intercepts.

Question 1/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी ग्राफ के (x)-अक्ष कटान ((-4,0)), ((6,0)), ((16,0)) हैं, तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-4,0)), ((6,0)), ((16,0)), what is the mean of their zeroes?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The mean is \(\frac{-4+6+16}{3}=6\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (6). The mean is \(\frac{-4+6+16}{3}=6\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-4+6+16}{3}=6\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question 2/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-hx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-hx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((h,0))((0,0)) and ((h,0))

Step 1

Concept

(x-2-hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((h,0)) / ((0,0)) and ((h,0)). (x-2-hx=x(x-h)), so the zeroes are (0) and (h). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-hx=x(x-h)) है, इसलिए शून्यक (0) और (h) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question 3/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-13x+k) का एक शून्यक (6) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x-2-13x+k) has one zero (6), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (7), कटान ((6,0)), ((7,0))Other (7), intersections ((6,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((6,0)), ((7,0)) / Other (7), intersections ((6,0)), ((7,0)). In the quadratic, the sum of zeroes is (13), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (13) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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Question 4/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-13x-68) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x-2-13x-68), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((17,0)) और ((-4,0))((17,0)) and ((-4,0))

Step 1

Concept

(x-2-13x-68=(x-17)(x+4)), so the zeroes are (17) and (-4). Tip: write intersection points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((17,0)) और ((-4,0)) / ((17,0)) and ((-4,0)). (x-2-13x-68=(x-17)(x+4)), so the zeroes are (17) and (-4). Tip: write intersection points from factors.

Step 3

Exam Tip

(x-2-13x-68=(x-17)(x+4)) है, इसलिए शून्यक (17) और (-4) हैं। टिप: गुणनखंडों से कटान बिंदु लिखें।

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Question 5/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-(2n+3)x+n(n+3)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(2n+3)x+n(n+3)), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((n,0)) और ((n+3,0))((n,0)) and ((n+3,0))

Step 1

Concept

The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((n,0)) और ((n+3,0)) / ((n,0)) and ((n+3,0)). The polynomial is ((x-n)(x-(n+3))), so the zeroes are (n) and (n+3). Tip: write zeroes as ((x,0)).

Step 3

Exam Tip

बहुपद ((x-n)(x-(n+3))) है इसलिए शून्यक (n) और (n+3) हैं। टिप: शून्यकों को ((x,0)) में लिखें।

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Question 6/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी ग्राफ के (x)-अक्ष कटान ((-3,0)), ((5,0)), ((13,0)) हैं, तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-3,0)), ((5,0)), ((13,0)), what is the mean of their zeroes?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

The mean is \(\frac{-3+5+13}{3}=5\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (5). The mean is \(\frac{-3+5+13}{3}=5\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-3+5+13}{3}=5\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question 7/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-ex) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-ex), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((e,0))((0,0)) and ((e,0))

Step 1

Concept

(x-2-ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((e,0)) / ((0,0)) and ((e,0)). (x-2-ex=x(x-e)), so the zeroes are (0) and (e). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-ex=x(x-e)) है, इसलिए शून्यक (0) और (e) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question 8/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-11x+k) का एक शून्यक (4) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होंगे?

If (p(x)=x-2-11x+k) has one zero (4), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (7), कटान ((4,0)), ((7,0))Other (7), intersections ((4,0)), ((7,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (7), कटान ((4,0)), ((7,0)) / Other (7), intersections ((4,0)), ((7,0)). In the quadratic, the sum of zeroes is (11), so the other zero is (7). Tip: convert a zero into ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (11) है, इसलिए दूसरा शून्यक (7) है। टिप: शून्यक को ((x,0)) में बदलें।

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Question 9/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-9x-52) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x-2-9x-52), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((13,0)) और ((-4,0))((13,0)) and ((-4,0))

Step 1

Concept

(x-2-9x-52=(x-13)(x+4)), so the zeroes are (13) and (-4). Tip: write intersection points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((13,0)) और ((-4,0)) / ((13,0)) and ((-4,0)). (x-2-9x-52=(x-13)(x+4)), so the zeroes are (13) and (-4). Tip: write intersection points from factors.

Step 3

Exam Tip

(x-2-9x-52=(x-13)(x+4)) है, इसलिए शून्यक (13) और (-4) हैं। टिप: गुणनखंडों से कटान बिंदु लिखें।

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Question 10/30 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-(2m-1)x+m(m-1)) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(2m-1)x+m(m-1)), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((m,0)) और ((m-1,0))((m,0)) and ((m-1,0))

Step 1

Concept

The polynomial is ((x-m)(x-(m-1))), so the zeroes are (m) and (m-1). Tip: write zeroes as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((m,0)) और ((m-1,0)) / ((m,0)) and ((m-1,0)). The polynomial is ((x-m)(x-(m-1))), so the zeroes are (m) and (m-1). Tip: write zeroes as ((x,0)).

Step 3

Exam Tip

बहुपद ((x-m)(x-(m-1))) है, इसलिए शून्यक (m) और (m-1) हैं। टिप: शून्यकों को ((x,0)) में लिखें।

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Question 11/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि किसी ग्राफ के (x)-अक्ष कटान ((-2,0)), ((4,0)), ((10,0)) हैं तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-2,0)), ((4,0)), ((10,0)), what is the mean of their zeroes?

Explanation opens after your attempt
Correct Answer

A. (4)

Step 1

Concept

The mean is \(\frac{-2+4+10}{3}=4\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (4). The mean is \(\frac{-2+4+10}{3}=4\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-2+4+10}{3}=4\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question 12/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-2-cx) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-cx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((c,0))((0,0)) and ((c,0))

Step 1

Concept

(x-2-cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((c,0)) / ((0,0)) and ((c,0)). (x-2-cx=x(x-c)), so the zeroes are (0) and (c). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-cx=x(x-c)) है इसलिए शून्यक (0) और (c) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question 13/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-2-9x+k) का एक शून्यक (4) है तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x-2-9x+k) has one zero (4), what will be the other zero and intersection points?

Explanation opens after your attempt
Correct Answer

A. दूसरा (5), कटान ((4,0)), ((5,0))Other (5), intersections ((4,0)), ((5,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (5), कटान ((4,0)), ((5,0)) / Other (5), intersections ((4,0)), ((5,0)). In the quadratic, the sum of zeroes is (9), so the other zero is (5). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (9) है इसलिए दूसरा शून्यक (5) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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Question 14/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-2-8x-33) है तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x-2-8x-33), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((11,0)) और ((-3,0))((11,0)) and ((-3,0))

Step 1

Concept

(x-2-8x-33=(x-11)(x+3)), so the zeroes are (11) and (-3). Tip: form ((x,0)) points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((11,0)) और ((-3,0)) / ((11,0)) and ((-3,0)). (x-2-8x-33=(x-11)(x+3)), so the zeroes are (11) and (-3). Tip: form ((x,0)) points from factors.

Step 3

Exam Tip

(x-2-8x-33=(x-11)(x+3)) है इसलिए शून्यक (11) और (-3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।

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Question 15/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=x-2-(u+v)x+uv) है तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(u+v)x+uv), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((u,0)) और ((v,0))((u,0)) and ((v,0))

Step 1

Concept

It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((u,0)) और ((v,0)) / ((u,0)) and ((v,0)). It is ((x-u)(x-v)), so the zeroes are (u) and (v). Tip: write each zero as the point ((x,0)).

Step 3

Exam Tip

यह ((x-u)(x-v)) है इसलिए शून्यक (u) और (v) हैं। टिप: शून्यक को ((x,0)) बिंदु के रूप में लिखें।

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Question 16/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि किसी ग्राफ के (x)-अक्ष कटान ((-1,0)), ((3,0)), ((7,0)) हैं, तो इनके शून्यकों का माध्य क्या है?

If the (x)-axis intersections of a graph are ((-1,0)), ((3,0)), ((7,0)), what is the mean of their zeroes?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The mean is \(\frac{-1+3+7}{3}=3\). Tip: first read the (x)-values from intersection points.

Step 2

Why this answer is correct

The correct answer is A. (3). The mean is \(\frac{-1+3+7}{3}=3\). Tip: first read the (x)-values from intersection points.

Step 3

Exam Tip

माध्य \(\frac{-1+3+7}{3}=3\) है। टिप: पहले कटान बिंदुओं से (x)-मान पढ़ें।

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Question 17/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-bx) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-bx), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((b,0))((0,0)) and ((b,0))

Step 1

Concept

(x-2-bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((b,0)) / ((0,0)) and ((b,0)). (x-2-bx=x(x-b)), so the zeroes are (0) and (b). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-bx=x(x-b)) है, इसलिए शून्यक (0) और (b) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question 18/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-7x+k) का एक शून्यक (3) है, तो दूसरा शून्यक और कटान बिंदु क्या होंगे?

If (p(x)=x-2-7x+k) has one zero (3), what will be the other zero and intersection points?

Explanation opens after your attempt
Correct Answer

A. दूसरा (4), कटान ((3,0)), ((4,0))Other (4), intersections ((3,0)), ((4,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (4), कटान ((3,0)), ((4,0)) / Other (4), intersections ((3,0)), ((4,0)). In the quadratic, the sum of zeroes is (7), so the other zero is (4). Tip: quickly convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (7) है, इसलिए दूसरा शून्यक (4) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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Question 19/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-4x-21) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x-2-4x-21), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((7,0)) और ((-3,0))((7,0)) and ((-3,0))

Step 1

Concept

(x-2-4x-21=(x-7)(x+3)), so the zeroes are (7) and (-3). Tip: form ((x,0)) points from factors.

Step 2

Why this answer is correct

The correct answer is A. ((7,0)) और ((-3,0)) / ((7,0)) and ((-3,0)). (x-2-4x-21=(x-7)(x+3)), so the zeroes are (7) and (-3). Tip: form ((x,0)) points from factors.

Step 3

Exam Tip

(x-2-4x-21=(x-7)(x+3)) है, इसलिए शून्यक (7) और (-3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।

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Question 20/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=x-2-(m+n)x+mn) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(m+n)x+mn), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((m,0)) और ((n,0))((m,0)) and ((n,0))

Step 1

Concept

It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. ((m,0)) और ((n,0)) / ((m,0)) and ((n,0)). It is ((x-m)(x-n)), so the zeroes are (m) and (n). Tip: write each zero as ((x,0)).

Step 3

Exam Tip

यह ((x-m)(x-n)) है इसलिए शून्यक (m) और (n) हैं। टिप: शून्यक को ((x,0)) में लिखें।

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Question 21/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-ax) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-ax), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((0,0)) और ((a,0))((0,0)) and ((a,0))

Step 1

Concept

(x-2-ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).

Step 2

Why this answer is correct

The correct answer is A. ((0,0)) और ((a,0)) / ((0,0)) and ((a,0)). (x-2-ax=x(x-a)), so the zeroes are (0) and (a). Tip: factor out the common (x).

Step 3

Exam Tip

(x-2-ax=x(x-a)), इसलिए शून्यक (0) और (a) हैं। टिप: सामान्य (x) गुणनखंड निकालें।

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Question 22/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-5x+k) का एक शून्यक (2) है, तो दूसरा शून्यक और (x)-अक्ष कटान क्या होगा?

If (p(x)=x-2-5x+k) has one zero (2), what will be the other zero and the (x)-axis intersections?

Explanation opens after your attempt
Correct Answer

A. दूसरा (3), कटान ((2,0)), ((3,0))Other (3), intersections ((2,0)), ((3,0))

Step 1

Concept

In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 2

Why this answer is correct

The correct answer is A. दूसरा (3), कटान ((2,0)), ((3,0)) / Other (3), intersections ((2,0)), ((3,0)). In the quadratic, the sum of zeroes is (5), so the other zero is (3). Tip: immediately convert a zero to ((x,0)).

Step 3

Exam Tip

द्विघात में शून्यकों का योग (5) है, इसलिए दूसरा शून्यक (3) है। टिप: शून्यक को तुरंत ((x,0)) में बदलें।

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Question 23/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2+2x-15) है, तो ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x-2+2x-15), what are the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

A. ((3,0)) और ((-5,0))((3,0)) and ((-5,0))

Step 1

Concept

(x-2+2x-15=(x+5)(x-3)), so the zeroes are (-5) and (3). Tip: form points ((x,0)) from factors.

Step 2

Why this answer is correct

The correct answer is A. ((3,0)) और ((-5,0)) / ((3,0)) and ((-5,0)). (x-2+2x-15=(x+5)(x-3)), so the zeroes are (-5) and (3). Tip: form points ((x,0)) from factors.

Step 3

Exam Tip

(x-2+2x-15=(x+5)(x-3)), इसलिए शून्यक (-5) और (3) हैं। टिप: गुणनखंडों से बिंदु ((x,0)) बनाएं।

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Question 24/30 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-(a+b)x+ab) है, तो ग्राफ के (x)-अक्ष कटान कौन से होंगे?

If (p(x)=x-2-(a+b)x+ab), what will be the (x)-axis intersections of the graph?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.

Step 2

Why this answer is correct

The correct answer is A. ((a,0)) और ((b,0)) / ((a,0)) and ((b,0)). The polynomial equals ((x-a)(x-b)), so the zeroes are (a) and (b). Tip: connect factor form with graph intersections.

Step 3

Exam Tip

बहुपद ((x-a)(x-b)) के बराबर है, इसलिए शून्यक (a) और (b) हैं। टिप: गुणनखंड रूप को ग्राफ कटान से जोड़ें।

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Question 25/30 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी ग्राफ में (x)-अक्ष कटान ((a,0)), ((b,0)), ((c,0)) हैं। इनमें से कौन सा कथन सही है?

A graph has (x)-axis intersections ((a,0)), ((b,0)), ((c,0)). Which statement is correct?

Explanation opens after your attempt
Correct Answer

B. शून्यक (a,b,c) हैंThe zeroes are (a,b,c)

Step 1

Concept

The first coordinate of each intersection point is a zero. Tip: read the zero (a) from ((a,0)).

Step 2

Why this answer is correct

The correct answer is B. शून्यक (a,b,c) हैं / The zeroes are (a,b,c). The first coordinate of each intersection point is a zero. Tip: read the zero (a) from ((a,0)).

Step 3

Exam Tip

हर कटान बिंदु का पहला निर्देशांक शून्यक है। टिप: ((a,0)) से शून्यक (a) पढ़ें।

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Question 26/30 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि किसी बहुपद का ग्राफ (x)-अक्ष को ((0,0)), ((2,0)) और ((5,0)) पर काटता है, तो कौन सा कथन सही है?

If a polynomial graph cuts the (x)-axis at ((0,0)), ((2,0)) and ((5,0)), which statement is correct?

Explanation opens after your attempt
Correct Answer

B. (0), (2) और (5) शून्यक हैं(0), (2) and (5) are zeroes

Step 1

Concept

The origin is also on the (x)-axis, so (0) is also a zero. Tip: do not ignore ((0,0)).

Step 2

Why this answer is correct

The correct answer is B. (0), (2) और (5) शून्यक हैं / (0), (2) and (5) are zeroes. The origin is also on the (x)-axis, so (0) is also a zero. Tip: do not ignore ((0,0)).

Step 3

Exam Tip

मूल बिंदु भी (x)-अक्ष पर है, इसलिए (0) भी शून्यक है। टिप: ((0,0)) को नजरअंदाज न करें।

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Question 27/30 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि द्विघात बहुपद का ग्राफ (x)-अक्ष को ((-2,0)) और ((7,0)) पर काटता है, तो (p(-2)) और (p(7)) के मान क्या होंगे?

If the graph of a quadratic polynomial cuts the (x)-axis at ((-2,0)) and ((7,0)), what will be the values of (p(-2)) and (p(7))?

Explanation opens after your attempt
Correct Answer

A. दोनों (0)Both (0)

Step 1

Concept

At an (x)-axis intersection, (y=p(x)=0). Tip: read the function value directly from the intersection point.

Step 2

Why this answer is correct

The correct answer is A. दोनों (0) / Both (0). At an (x)-axis intersection, (y=p(x)=0). Tip: read the function value directly from the intersection point.

Step 3

Exam Tip

(x)-अक्ष कटान पर (y=p(x)=0) होता है। टिप: कटान बिंदु से फलन मान सीधे पढ़ें।

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Question 28/30 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=x-2-16), तो इसके ग्राफ के (x)-अक्ष कटान कौन से हैं?

If (p(x)=x-2-16), what are the (x)-axis intersections of its graph?

Explanation opens after your attempt
Correct Answer

B. ((4,0)) और ((-4,0))((4,0)) and ((-4,0))

Step 1

Concept

Solving \(x^2-16=0\) gives \(x=\pm4\). Tip: write zeroes as (x)-axis points.

Step 2

Why this answer is correct

The correct answer is B. ((4,0)) और ((-4,0)) / ((4,0)) and ((-4,0)). Solving \(x^2-16=0\) gives \(x=\pm4\). Tip: write zeroes as (x)-axis points.

Step 3

Exam Tip

\(x^2-16=0\) से \(x=\pm4\) मिलता है। टिप: शून्यक को (x)-अक्ष बिंदु में लिखें।

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Question 29/30 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(-3)=0), (p(0)=5) और (p(4)=0), तो ग्राफ (x)-अक्ष को किन बिंदुओं पर काटेगा?

If (p(-3)=0), (p(0)=5) and (p(4)=0), at which points will the graph cut the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. ((-3,0)) और ((4,0))((-3,0)) and ((4,0))

Step 1

Concept

Where (p(x)=0), there is an (x)-axis intersection. Tip: (p(0)=5) does not give a zero.

Step 2

Why this answer is correct

The correct answer is B. ((-3,0)) और ((4,0)) / ((-3,0)) and ((4,0)). Where (p(x)=0), there is an (x)-axis intersection. Tip: (p(0)=5) does not give a zero.

Step 3

Exam Tip

जहाँ (p(x)=0) है वहीं (x)-अक्ष कटान है। टिप: (p(0)=5) शून्यक नहीं देता।

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Question 30/30 Medium Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि ग्राफ (x)-अक्ष को ((-6,0)) और ((2,0)) पर काटता है, तो शून्यकों का गुणनफल क्या है?

If a graph cuts the (x)-axis at ((-6,0)) and ((2,0)), what is the product of zeroes?

Explanation opens after your attempt
Correct Answer

C. (-12)

Step 1

Concept

The zeroes are (-6) and (2), so the product is (-12). Tip: do not include the (y)-coordinate in the product.

Step 2

Why this answer is correct

The correct answer is C. (-12). The zeroes are (-6) and (2), so the product is (-12). Tip: do not include the (y)-coordinate in the product.

Step 3

Exam Tip

शून्यक (-6) और (2) हैं, इसलिए गुणनफल (-12) है। टिप: (y)-निर्देशांक को गुणन में शामिल न करें।

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