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distinct-points MCQ Questions for Class 10

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7 questions tagged with distinct-points.

Question 1/7 Expert Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=11(x+5)2(x-14)) है, तो ग्राफ कितने अलग बिंदुओं पर (x)-अक्ष से मिलेगा और कौन सा बिंदु स्पर्श होगा?

If (p(x)=11(x+5)2(x-14)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Explanation opens after your attempt
Correct Answer

A. दो बिंदु, (x=-5) पर स्पर्शTwo points, touching at (x=-5)

Step 1

Concept

The zeroes are (-5) and (14), and ((x+5)2) causes touching at (-5). Tip: the outside (11) does not change the zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो बिंदु, (x=-5) पर स्पर्श / Two points, touching at (x=-5). The zeroes are (-5) and (14), and ((x+5)2) causes touching at (-5). Tip: the outside (11) does not change the zeroes.

Step 3

Exam Tip

शून्यक (-5) और (14) हैं तथा ((x+5)2) के कारण (-5) पर स्पर्श है। टिप: बाहरी (11) शून्यक नहीं बदलता।

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

यदि (p(x)=9(x+4)2(x-12)) है, तो ग्राफ कितने अलग बिंदुओं पर (x)-अक्ष से मिलेगा और कौन सा बिंदु स्पर्श होगा?

If (p(x)=9(x+4)2(x-12)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Explanation opens after your attempt
Correct Answer

A. दो बिंदु, (x=-4) पर स्पर्शTwo points, touching at (x=-4)

Step 1

Concept

The zeroes are (-4) and (12), and ((x+4)2) causes touching at (-4). Tip: the outside (9) does not change the zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो बिंदु, (x=-4) पर स्पर्श / Two points, touching at (x=-4). The zeroes are (-4) and (12), and ((x+4)2) causes touching at (-4). Tip: the outside (9) does not change the zeroes.

Step 3

Exam Tip

शून्यक (-4) और (12) हैं तथा ((x+4)2) के कारण (-4) पर स्पर्श है। टिप: बाहरी (9) शून्यक नहीं बदलता।

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Question 3/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=7(x+3)2(x-10)) है तो ग्राफ कितने अलग बिंदुओं पर (x)-अक्ष से मिलेगा और कौन सा बिंदु स्पर्श होगा?

If (p(x)=7(x+3)2(x-10)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Explanation opens after your attempt
Correct Answer

A. दो बिंदु, (x=-3) पर स्पर्शTwo points, touching at (x=-3)

Step 1

Concept

The zeroes are (-3) and (10), and ((x+3)2) causes touching at (-3). Tip: the outside (7) does not change the zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो बिंदु, (x=-3) पर स्पर्श / Two points, touching at (x=-3). The zeroes are (-3) and (10), and ((x+3)2) causes touching at (-3). Tip: the outside (7) does not change the zeroes.

Step 3

Exam Tip

शून्यक (-3) और (10) हैं तथा ((x+3)2) के कारण (-3) पर स्पर्श है। टिप: बाहरी (7) शून्यक नहीं बदलता।

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Question 4/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि (p(x)=5(x+2)2(x-7)) है, तो ग्राफ कितने अलग बिंदुओं पर (x)-अक्ष से मिलेगा और कौन सा बिंदु स्पर्श होगा?

If (p(x)=5(x+2)2(x-7)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Explanation opens after your attempt
Correct Answer

A. दो बिंदु, (x=-2) पर स्पर्शTwo points, touching at (x=-2)

Step 1

Concept

The zeroes are (-2) and (7), and ((x+2)2) causes touching at (-2). Tip: the outside (5) does not change the zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो बिंदु, (x=-2) पर स्पर्श / Two points, touching at (x=-2). The zeroes are (-2) and (7), and ((x+2)2) causes touching at (-2). Tip: the outside (5) does not change the zeroes.

Step 3

Exam Tip

शून्यक (-2) और (7) हैं, तथा ((x+2)2) के कारण (-2) पर स्पर्श है। टिप: बाहरी (5) शून्यक नहीं बदलता।

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Question 5/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि (p(x)=3(x-2)2(x+1)) है, तो ग्राफ (x)-अक्ष से कितने अलग बिंदुओं पर मिलेगा और कौन सा बिंदु स्पर्श होगा?

If (p(x)=3(x-2)2(x+1)), at how many distinct points will the graph meet the (x)-axis and which point will be a touching point?

Explanation opens after your attempt
Correct Answer

A. दो बिंदु, (x=2) पर स्पर्शTwo points, touching at (x=2)

Step 1

Concept

The zeroes are (2) and (-1), and ((x-2)2) causes touching at (x=2). Tip: the outside (3) does not change the zeroes.

Step 2

Why this answer is correct

The correct answer is A. दो बिंदु, (x=2) पर स्पर्श / Two points, touching at (x=2). The zeroes are (2) and (-1), and ((x-2)2) causes touching at (x=2). Tip: the outside (3) does not change the zeroes.

Step 3

Exam Tip

शून्यक (2) और (-1) हैं, तथा ((x-2)2) के कारण (x=2) पर स्पर्श है। टिप: बाहरी (3) शून्यक नहीं बदलता।

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Question 6/7 Medium Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि (p(x)=(x+3)(x-1)2) है तो ग्राफ (x)-अक्ष से कितने अलग बिंदुओं पर मिलेगा?

If (p(x)=(x+3)(x-1)2), at how many distinct points will the graph meet the (x)-axis?

Explanation opens after your attempt
Correct Answer

B. दोTwo

Step 1

Concept

The zeroes are (-3) and (1), so there are two distinct meeting points. Tip: count the repeated zero (1) only once for distinct points.

Step 2

Why this answer is correct

The correct answer is B. दो / Two. The zeroes are (-3) and (1), so there are two distinct meeting points. Tip: count the repeated zero (1) only once for distinct points.

Step 3

Exam Tip

शून्यक (-3) और (1) हैं, इसलिए दो अलग बिंदु मिलेंगे। टिप: दोहराए हुए शून्यक (1) को अलग गिनती में एक बार गिनें।

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Question 7/7 Easy Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि ग्राफ (x)-अक्ष को ((m,0)) और ((n,0)) पर काटता है, जहाँ \(m\neq n\), तो वास्तविक शून्यकों की संख्या क्या होगी?

If a graph cuts the (x)-axis at ((m,0)) and ((n,0)), where \(m\neq n\), how many real zeroes will it have?

Explanation opens after your attempt
Correct Answer

A. दोTwo

Step 1

Concept

Two distinct intersection points give two distinct real zeroes. Here the zeroes will be (m) and (n).

Step 2

Why this answer is correct

The correct answer is A. दो / Two. Two distinct intersection points give two distinct real zeroes. Here the zeroes will be (m) and (n).

Step 3

Exam Tip

दो अलग कटाव बिंदु दो अलग वास्तविक शून्यक देते हैं। यहाँ शून्यक (m) और (n) होंगे।

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