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axis of symmetry MCQ Questions for Class 10

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Practice Questions

7 questions tagged with axis of symmetry.

Question 1/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

यदि परवलय के शून्यक (c-7) और (c+3) हैं तो सममिति अक्ष कौन सा होगा?

If the zeroes of a parabola are (c-7) and (c+3), what will be its axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=c-2)

Step 1

Concept

The axis of symmetry is at the average of the zeroes, (\frac{(c-7)+(c+3)}{2}=c-2). Tip: the average rule also works with symbols.

Step 2

Why this answer is correct

The correct answer is A. (x=c-2). The axis of symmetry is at the average of the zeroes, (\frac{(c-7)+(c+3)}{2}=c-2). Tip: the average rule also works with symbols.

Step 3

Exam Tip

सममिति अक्ष शून्यकों के औसत पर है (\frac{(c-7)+(c+3)}{2}=c-2)। टिप: प्रतीकों में भी औसत का नियम लागू होता है।

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Question 2/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

किसी परवलय का एक शून्यक (11) है और सममिति अक्ष (x=3) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (11) and axis of symmetry (x=3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (3), so the other zero is (-5). Tip: set \(\frac{a+b}{2}\) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (3) है इसलिए दूसरा शून्यक (-5) होगा। टिप: \(\frac{a+b}{2}\) को सममिति अक्ष के बराबर रखें।

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Question 3/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि परवलय के शून्यक (b-5) और (b+1) हैं, तो सममिति अक्ष कौन सा होगा?

If the zeroes of a parabola are (b-5) and (b+1), what will be its axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=b-2)

Step 1

Concept

The axis of symmetry is at the average of the zeroes, (\frac{(b-5)+(b+1)}{2}=b-2). Tip: the average rule also works with symbols.

Step 2

Why this answer is correct

The correct answer is A. (x=b-2). The axis of symmetry is at the average of the zeroes, (\frac{(b-5)+(b+1)}{2}=b-2). Tip: the average rule also works with symbols.

Step 3

Exam Tip

सममिति अक्ष शून्यकों के औसत पर है, (\frac{(b-5)+(b+1)}{2}=b-2)। टिप: प्रतीकों में भी औसत का नियम लागू होता है।

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

किसी परवलय का एक शून्यक (9) है और सममिति अक्ष (x=2) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (9) and axis of symmetry (x=2). What is the other zero?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-5). The average of the two zeroes is (2), so the other zero is (-5). Tip: set \( \frac{a+b}{2} \) equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (2) है, इसलिए दूसरा शून्यक (-5) होगा। टिप: \( \frac{a+b}{2} \) को सममिति अक्ष के बराबर रखें।

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

यदि किसी परवलय के शून्यक (a-2) और (a+4) हैं, तो सममिति अक्ष कौन सा होगा?

If the zeroes of a parabola are (a-2) and (a+4), what will be its axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=a+1)

Step 1

Concept

The axis of symmetry is at the average of zeroes, (\frac{(a-2)+(a+4)}{2}=a+1). Tip: take the average even for symbolic zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=a+1). The axis of symmetry is at the average of zeroes, (\frac{(a-2)+(a+4)}{2}=a+1). Tip: take the average even for symbolic zeroes.

Step 3

Exam Tip

सममिति अक्ष शून्यकों के औसत पर है, (\frac{(a-2)+(a+4)}{2}=a+1)। टिप: प्रतीकात्मक शून्यकों में भी औसत लें।

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Question 6/7 Hard Mathematics Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी परवलय का एक शून्यक (4) है और सममिति अक्ष (x=-1) है। दूसरा शून्यक क्या होगा?

A parabola has one zero (4) and axis of symmetry (x=-1). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 2

Why this answer is correct

The correct answer is A. (-6). The average of the two zeroes is (-1), so the other zero is (-6). Tip: set the average equal to the axis of symmetry.

Step 3

Exam Tip

दो शून्यकों का औसत (-1) है, इसलिए दूसरा शून्यक (-6) होगा। टिप: औसत को सममिति अक्ष के बराबर रखें।

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

किसी परवलय का सममिति अक्ष (x=2) है और एक शून्यक (-3) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=2) and one zero is (-3). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (7)

Step 1

Concept

The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.

Step 2

Why this answer is correct

The correct answer is A. (7). The average of the two zeroes is (2), so the other zero is (7). Tip: in a parabola the axis of symmetry passes through the midpoint of the zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (2) होगा, इसलिए दूसरा शून्यक (7) है। टिप: परवलय में सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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