Concept-wise Practice

axis symmetry MCQ Questions for Class 10

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Practice Questions

8 questions tagged with axis symmetry.

Question 1/8 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि परवलय के शून्यक (q-11) और (q+7) हैं, तो सममिति अक्ष कौन सा होगा?

If the zeroes of a parabola are (q-11) and (q+7), what will be its axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=q-2)

Step 1

Concept

The axis of symmetry is at the average of the zeroes, (\frac{(q-11)+(q+7)}{2}=q-2). Tip: take the midpoint even with symbols.

Step 2

Why this answer is correct

The correct answer is A. (x=q-2). The axis of symmetry is at the average of the zeroes, (\frac{(q-11)+(q+7)}{2}=q-2). Tip: take the midpoint even with symbols.

Step 3

Exam Tip

सममिति अक्ष शून्यकों के औसत पर है, (\frac{(q-11)+(q+7)}{2}=q-2)। टिप: प्रतीकों में भी मध्य मान लें।

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Question 2/8 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

किसी परवलय का एक शून्यक (-10) है और दूसरा शून्यक पहले से (18) अधिक है। सममिति अक्ष क्या होगा?

One zero of a parabola is (-10), and the other zero is (18) more than the first. What is the axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=-1)

Step 1

Concept

The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=-1). The other zero is (8), and the average is \(\frac{-10+8}{2}=-1\). Tip: the axis of symmetry is the average of two zeroes.

Step 3

Exam Tip

दूसरा शून्यक (8) है और औसत \(\frac{-10+8}{2}=-1\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।

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Question 3/8 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

यदि परवलय का सममिति अक्ष (x=5) है और एक शून्यक (-1) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=5) and one zero is (-1), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (11)

Step 1

Concept

The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (11). The average of the two zeroes is (5), so the other zero is (11). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (5) है इसलिए दूसरा शून्यक (11) होगा। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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Question 4/8 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि परवलय के शून्यक (t-9) और (t+5) हैं, तो सममिति अक्ष कौन सा होगा?

If the zeroes of a parabola are (t-9) and (t+5), what will be its axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=t-2)

Step 1

Concept

The axis of symmetry is at the average of the zeroes, (\frac{(t-9)+(t+5)}{2}=t-2). Tip: take the midpoint even with symbols.

Step 2

Why this answer is correct

The correct answer is A. (x=t-2). The axis of symmetry is at the average of the zeroes, (\frac{(t-9)+(t+5)}{2}=t-2). Tip: take the midpoint even with symbols.

Step 3

Exam Tip

सममिति अक्ष शून्यकों के औसत पर है, (\frac{(t-9)+(t+5)}{2}=t-2)। टिप: प्रतीकों में भी मध्य मान लें।

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Question 5/8 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

किसी परवलय का एक शून्यक (-8) है और दूसरा शून्यक पहले से (12) अधिक है। सममिति अक्ष क्या होगा?

One zero of a parabola is (-8), and the other zero is (12) more than the first. What is the axis of symmetry?

Explanation opens after your attempt
Correct Answer

A. (x=-2)

Step 1

Concept

The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.

Step 2

Why this answer is correct

The correct answer is A. (x=-2). The other zero is (4), and the average is \(\frac{-8+4}{2}=-2\). Tip: the axis of symmetry is the average of two zeroes.

Step 3

Exam Tip

दूसरा शून्यक (4) है और औसत \(\frac{-8+4}{2}=-2\) है। टिप: सममिति अक्ष दो शून्यकों का औसत है।

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Question 6/8 Expert Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 22

यदि परवलय का सममिति अक्ष (x=-2) है और एक शून्यक (5) है, तो दूसरा शून्यक क्या होगा?

If the axis of symmetry of a parabola is (x=-2) and one zero is (5), what will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (-9)

Step 1

Concept

The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (-9). The average of the two zeroes is (-2), so the other zero is (-9). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (-2) है, इसलिए दूसरा शून्यक (-9) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य से जोड़ें।

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Question 7/8 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 24

किसी परवलय का सममिति अक्ष (x=4) है और एक शून्यक (-2) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=4) and one zero is (-2). What will be the other zero?

Explanation opens after your attempt
Correct Answer

A. (10)

Step 1

Concept

The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is A. (10). The average of the two zeroes is (4), so the other zero is (10). Tip: connect the axis of symmetry with the midpoint of zeroes.

Step 3

Exam Tip

दोनों शून्यकों का औसत (4) है इसलिए दूसरा शून्यक (10) होगा। टिप: सममिति अक्ष को शून्यकों के मध्य मान से जोड़ें।

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Question 8/8 Hard Mathematics Chapter 2: Polynomials Geometrical meaning of the zeroes of a polynomial. Class 10 Level 23

किसी परवलय का सममिति अक्ष (x=1) है और एक शून्यक (-5) है। दूसरा शून्यक क्या होगा?

The axis of symmetry of a parabola is (x=1) and one zero is (-5). What will be the other zero?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 2

Why this answer is correct

The correct answer is C. (7). The average of the two zeroes is (1), so the other zero is (7). Tip: the axis of symmetry passes through the midpoint of zeroes.

Step 3

Exam Tip

दो शून्यकों का औसत (1) होगा इसलिए दूसरा शून्यक (7) है। टिप: सममिति अक्ष शून्यकों के मध्य से गुजरता है।

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