Class 9 Mathematics - Number Systems - Square root spiral Easy Quiz

Level 23 • 50/50 questions • 40 seconds per question.

Level readiness 50/50 Questions
Time Left 33:20 40 sec/question
RewardsCoins + XP
ModeClassic Quiz
Share
Question 1 / 50 0 score
Answered 0/50 Correct 0 Time 33:20

वर्गमूल सर्पिल का निर्माण किस मूल लंबाई से शुरू किया जाता है?

The construction of a square root spiral starts with which basic length?

Explanation opens after your attempt
Correct Answer

A. (1) इकाई(1) unit

Step 1

Concept

A square root spiral starts with a (1) unit line segment. Right triangles are then built from this base.

Step 2

Why this answer is correct

The correct answer is A. (1) इकाई / (1) unit. A square root spiral starts with a (1) unit line segment. Right triangles are then built from this base.

Step 3

Exam Tip

वर्गमूल सर्पिल में शुरुआत (1) इकाई रेखाखंड से होती है। इसी आधार से आगे समकोण त्रिभुज बनते हैं।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में पहले समकोण त्रिभुज की दोनों लंब भुजाएँ (1) इकाई हों तो कर्ण कौन-सा होगा?

In a square root spiral, if both perpendicular sides of the first right triangle are (1) unit, what will be the hypotenuse?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{2}\)

Step 1

Concept

The hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\). This follows from Pythagoras theorem.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{2}\). The hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\). This follows from Pythagoras theorem.

Step 3

Exam Tip

कर्ण \(\sqrt{1^2+1^2}=\sqrt{2}\) होता है। यह पाइथागोरस प्रमेय से मिलता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में प्रत्येक नया समकोण किस प्रकार बनाया जाता है?

How is each new right angle made in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. पिछले कर्ण पर (1) इकाई लंब खींचकरBy drawing a (1) unit perpendicular on the previous hypotenuse

Step 1

Concept

At each new step a (1) unit perpendicular is drawn on the previous hypotenuse. This makes a new right triangle.

Step 2

Why this answer is correct

The correct answer is A. पिछले कर्ण पर (1) इकाई लंब खींचकर / By drawing a (1) unit perpendicular on the previous hypotenuse. At each new step a (1) unit perpendicular is drawn on the previous hypotenuse. This makes a new right triangle.

Step 3

Exam Tip

हर नए चरण में पिछले कर्ण पर (1) इकाई लंब रेखा बनाई जाती है। इससे नया समकोण त्रिभुज बनता है।

Open Question Page
Ask Friends

यदि पिछले कर्ण की लंबाई \(\sqrt{4}\) है और (1) इकाई लंब जोड़ी जाए तो नया कर्ण क्या होगा?

If the previous hypotenuse is \(\sqrt{4}\) and a (1) unit perpendicular is added, what will be the new hypotenuse?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{5}\)

Step 1

Concept

The new hypotenuse is \(\sqrt{4+1}=\sqrt{5}\). At every step the number increases by (1).

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{5}\). The new hypotenuse is \(\sqrt{4+1}=\sqrt{5}\). At every step the number increases by (1).

Step 3

Exam Tip

नया कर्ण \(\sqrt{4+1}=\sqrt{5}\) होगा। हर चरण में संख्या (1) बढ़ती है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{7}\) बनाने से ठीक पहले कौन-सा कर्ण बनता है?

Which hypotenuse is constructed just before \(\sqrt{7}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{6}\)

Step 1

Concept

Adding a (1) unit perpendicular to \(\sqrt{6}\) gives \(\sqrt{7}\). The previous hypotenuse has one less number.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{6}\). Adding a (1) unit perpendicular to \(\sqrt{6}\) gives \(\sqrt{7}\). The previous hypotenuse has one less number.

Step 3

Exam Tip

\(\sqrt{6}\) में (1) इकाई लंब जोड़ने पर \(\sqrt{7}\) मिलता है। पिछला कर्ण हमेशा एक कम संख्या का होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में कर्णों का प्रारंभिक सही क्रम कौन-सा है?

What is the correct initial order of hypotenuses in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{1},\sqrt{2},\sqrt{3},\sqrt{4}\)

Step 1

Concept

The hypotenuses progress as \(\sqrt{1},\sqrt{2},\sqrt{3}\) and so on. Recognizing the order is useful in easy questions.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{1},\sqrt{2},\sqrt{3},\sqrt{4}\). The hypotenuses progress as \(\sqrt{1},\sqrt{2},\sqrt{3}\) and so on. Recognizing the order is useful in easy questions.

Step 3

Exam Tip

सर्पिल में कर्ण क्रम से \(\sqrt{1},\sqrt{2},\sqrt{3}\) आगे बढ़ते हैं। क्रम पहचानना आसान प्रश्नों में बहुत उपयोगी है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{6}\) के बाद कौन-सी लंबाई आती है?

Which length comes after \(\sqrt{6}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{7}\)

Step 1

Concept

At each new step the next square root appears. Therefore \(\sqrt{7}\) comes after \(\sqrt{6}\).

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{7}\). At each new step the next square root appears. Therefore \(\sqrt{7}\) comes after \(\sqrt{6}\).

Step 3

Exam Tip

हर नए चरण में अगला वर्गमूल आता है। इसलिए \(\sqrt{6}\) के बाद \(\sqrt{7}\) आता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में कौन-सा प्रमेय बार-बार प्रयोग होता है?

Which theorem is repeatedly used in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. पाइथागोरस प्रमेयPythagoras theorem

Step 1

Concept

Each step is based on a right triangle. Therefore Pythagoras theorem is used to find the hypotenuse.

Step 2

Why this answer is correct

The correct answer is A. पाइथागोरस प्रमेय / Pythagoras theorem. Each step is based on a right triangle. Therefore Pythagoras theorem is used to find the hypotenuse.

Step 3

Exam Tip

हर चरण समकोण त्रिभुज पर आधारित है। इसलिए कर्ण निकालने के लिए पाइथागोरस प्रमेय प्रयोग होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{9}\) की लंबाई किस पूर्ण संख्या के बराबर है?

In a square root spiral, the length \(\sqrt{9}\) equals which whole number?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(\sqrt{9}=3\). Square roots of perfect squares give whole numbers.

Step 2

Why this answer is correct

The correct answer is B. (3). \(\sqrt{9}=3\). Square roots of perfect squares give whole numbers.

Step 3

Exam Tip

\(\sqrt{9}=3\) होता है। पूर्ण वर्गों के वर्गमूल पूर्ण संख्याएँ देते हैं।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{10}\) बनाने के लिए किस पिछले कर्ण पर (1) इकाई लंब बनाई जाती है?

To make \(\sqrt{10}\) in a square root spiral, a (1) unit perpendicular is drawn on which previous hypotenuse?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{9}\)

Step 1

Concept

The previous hypotenuse \(\sqrt{9}\) with a (1) unit perpendicular gives \(\sqrt{10}\). Identifying the previous step is important.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{9}\). The previous hypotenuse \(\sqrt{9}\) with a (1) unit perpendicular gives \(\sqrt{10}\). Identifying the previous step is important.

Step 3

Exam Tip

\(\sqrt{9}\) और (1) इकाई लंब से नया कर्ण \(\sqrt{10}\) बनता है। पिछले चरण को पहचानना जरूरी है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(90^\circ\) कोण क्यों आवश्यक है?

Why is a \(90^\circ\) angle necessary in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. ताकि पाइथागोरस प्रमेय लगाया जा सकेSo that Pythagoras theorem can be applied

Step 1

Concept

Pythagoras theorem applies to a right triangle. Hence a \(90^\circ\) angle is necessary.

Step 2

Why this answer is correct

The correct answer is A. ताकि पाइथागोरस प्रमेय लगाया जा सके / So that Pythagoras theorem can be applied. Pythagoras theorem applies to a right triangle. Hence a \(90^\circ\) angle is necessary.

Step 3

Exam Tip

पाइथागोरस प्रमेय समकोण त्रिभुज में लागू होता है। इसलिए \(90^\circ\) कोण जरूरी है।

Open Question Page
Ask Friends

यदि किसी चरण पर कर्ण \(\sqrt{n}\) है तो अगला कर्ण किस सूत्र से मिलेगा?

If the hypotenuse at a step is \(\sqrt{n}\), by which formula will the next hypotenuse be obtained?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{n+1}\)

Step 1

Concept

The new hypotenuse is (\sqrt{\(\sqrt{n}\)2+12}=\sqrt{n+1}). This is the general rule of the spiral.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{n+1}\). The new hypotenuse is (\sqrt{\(\sqrt{n}\)2+12}=\sqrt{n+1}). This is the general rule of the spiral.

Step 3

Exam Tip

नया कर्ण (\sqrt{\(\sqrt{n}\)2+12}=\sqrt{n+1}) होता है। यही सर्पिल का सामान्य नियम है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल का उपयोग संख्या रेखा पर मुख्य रूप से किसे दिखाने में होता है?

A square root spiral is mainly used to show what on the number line?

Explanation opens after your attempt
Correct Answer

A. वर्गमूल लंबाइयाँSquare root lengths

Step 1

Concept

A square root spiral gives lengths like \(\sqrt{2},\sqrt{3},\sqrt{5}\). These can be placed on the number line.

Step 2

Why this answer is correct

The correct answer is A. वर्गमूल लंबाइयाँ / Square root lengths. A square root spiral gives lengths like \(\sqrt{2},\sqrt{3},\sqrt{5}\). These can be placed on the number line.

Step 3

Exam Tip

वर्गमूल सर्पिल से \(\sqrt{2},\sqrt{3},\sqrt{5}\) जैसी लंबाइयाँ मिलती हैं। इन्हें संख्या रेखा पर रखा जा सकता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{5}\) की लंबाई किन दो पूर्ण संख्याओं के बीच होती है?

In a square root spiral, the length \(\sqrt{5}\) lies between which two whole numbers?

Explanation opens after your attempt
Correct Answer

B. (2) और (3)(2) and (3)

Step 1

Concept

Because \(2^2<5<3^2\). Therefore \(2<\sqrt{5}<3\).

Step 2

Why this answer is correct

The correct answer is B. (2) और (3) / (2) and (3). Because \(2^2<5<3^2\). Therefore \(2<\sqrt{5}<3\).

Step 3

Exam Tip

क्योंकि \(2^2<5<3^2\) है। इसलिए \(2<\sqrt{5}<3\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{12}\) बनाने से ठीक पहले कौन-सा कर्ण होना चाहिए?

Just before making \(\sqrt{12}\) in a square root spiral, which hypotenuse should be present?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{11}\)

Step 1

Concept

Drawing a (1) unit perpendicular on \(\sqrt{11}\) gives \(\sqrt{12}\). The previous hypotenuse has one less number.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{11}\). Drawing a (1) unit perpendicular on \(\sqrt{11}\) gives \(\sqrt{12}\). The previous hypotenuse has one less number.

Step 3

Exam Tip

\(\sqrt{11}\) पर (1) इकाई लंब बनाने से \(\sqrt{12}\) मिलता है। पिछला कर्ण एक कम संख्या वाला होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{15}\) के बाद कौन-सा कर्ण बनेगा?

In a square root spiral, which hypotenuse will be formed after \(\sqrt{15}\)?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{16}\)

Step 1

Concept

At each step the next hypotenuse is \(\sqrt{n+1}\). Therefore \(\sqrt{16}\) is formed after \(\sqrt{15}\).

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{16}\). At each step the next hypotenuse is \(\sqrt{n+1}\). Therefore \(\sqrt{16}\) is formed after \(\sqrt{15}\).

Step 3

Exam Tip

हर चरण में अगला कर्ण \(\sqrt{n+1}\) होता है। इसलिए \(\sqrt{15}\) के बाद \(\sqrt{16}\) बनेगा।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{16}\) किस पूर्ण संख्या के बराबर है?

In a square root spiral, \(\sqrt{16}\) is equal to which whole number?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

\(\sqrt{16}=4\). Recognizing perfect squares helps in easy questions.

Step 2

Why this answer is correct

The correct answer is C. (4). \(\sqrt{16}=4\). Recognizing perfect squares helps in easy questions.

Step 3

Exam Tip

\(\sqrt{16}=4\) होता है। पूर्ण वर्ग पहचानना आसान प्रश्नों में मदद करता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{2}\) बनाने की सही गणना कौन-सी है?

Which is the correct calculation to make \(\sqrt{2}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{1^2+1^2}\)

Step 1

Concept

Both sides of the first triangle are (1) unit. So the hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{1^2+1^2}\). Both sides of the first triangle are (1) unit. So the hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\).

Step 3

Exam Tip

पहले त्रिभुज की दोनों भुजाएँ (1) इकाई होती हैं। इसलिए कर्ण \(\sqrt{1^2+1^2}=\sqrt{2}\) है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{3}\) बनाने की सही गणना कौन-सी है?

Which is the correct calculation to make \(\sqrt{3}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. (\sqrt{\(\sqrt{2}\)2+12})

Step 1

Concept

\(\sqrt{2}\) is the previous hypotenuse and (1) unit is the new perpendicular. Therefore the new hypotenuse is \(\sqrt{3}\).

Step 2

Why this answer is correct

The correct answer is A. (\sqrt{\(\sqrt{2}\)2+12}). \(\sqrt{2}\) is the previous hypotenuse and (1) unit is the new perpendicular. Therefore the new hypotenuse is \(\sqrt{3}\).

Step 3

Exam Tip

\(\sqrt{2}\) पिछले कर्ण की लंबाई है और (1) इकाई नई लंब है। इसलिए नया कर्ण \(\sqrt{3}\) मिलता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में (1) इकाई लंब भुजा बदलकर (2) इकाई कर दी जाए तो सामान्य क्रम क्यों बदल जाएगा?

If the (1) unit perpendicular side in a square root spiral is changed to (2) units, why will the usual sequence change?

Explanation opens after your attempt
Correct Answer

A. क्योंकि प्रत्येक चरण में (1) जोड़ने का नियम टूट जाएगाBecause the rule of adding (1) at each step will break

Step 1

Concept

In the usual square root spiral \(1^2\) is added each time. Taking (2) units will change the sequence.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि प्रत्येक चरण में (1) जोड़ने का नियम टूट जाएगा / Because the rule of adding (1) at each step will break. In the usual square root spiral \(1^2\) is added each time. Taking (2) units will change the sequence.

Step 3

Exam Tip

सामान्य वर्गमूल सर्पिल में हर बार \(1^2\) जुड़ता है। (2) इकाई लेने पर क्रम अलग हो जाएगा।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{18}\) के बाद अगला कर्ण क्या होगा?

What will be the next hypotenuse after \(\sqrt{18}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{19}\)

Step 1

Concept

At each new step a (1) unit perpendicular is added. So the number changes from (18) to (19).

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{19}\). At each new step a (1) unit perpendicular is added. So the number changes from (18) to (19).

Step 3

Exam Tip

हर नए चरण में (1) इकाई लंब जुड़ती है। इसलिए संख्या (18) से (19) हो जाती है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{21}\) बनाने के लिए किस पिछले कर्ण का उपयोग होगा?

Which previous hypotenuse is used to make \(\sqrt{21}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{20}\)

Step 1

Concept

\(\sqrt{21}\) is formed from \(\sqrt{20}\) and a (1) unit perpendicular. The previous hypotenuse has one less number.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{20}\). \(\sqrt{21}\) is formed from \(\sqrt{20}\) and a (1) unit perpendicular. The previous hypotenuse has one less number.

Step 3

Exam Tip

\(\sqrt{20}\) और (1) इकाई लंब से \(\sqrt{21}\) बनता है। पिछले कर्ण में संख्या एक कम होती है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{25}\) की लंबाई कितनी होगी?

What is the length of \(\sqrt{25}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

\(\sqrt{25}=5\). It is the square root of a perfect square.

Step 2

Why this answer is correct

The correct answer is B. (5). \(\sqrt{25}=5\). It is the square root of a perfect square.

Step 3

Exam Tip

\(\sqrt{25}=5\) होता है। यह पूर्ण वर्ग का वर्गमूल है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में कौन-सी लंबाई सामान्यतः अपरिमेय होगी?

Which length in a square root spiral is usually irrational?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{8}\)

Step 1

Concept

\(\sqrt{8}\) is not the square root of a perfect square. Therefore it is irrational.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{8}\). \(\sqrt{8}\) is not the square root of a perfect square. Therefore it is irrational.

Step 3

Exam Tip

\(\sqrt{8}\) पूर्ण वर्ग का वर्गमूल नहीं है। इसलिए यह अपरिमेय है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{4}\) के बाद बनने वाली अगली अपरिमेय लंबाई कौन-सी है?

In a square root spiral, which next irrational length is formed after \(\sqrt{4}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{5}\)

Step 1

Concept

\(\sqrt{4}=2\) is rational. After this \(\sqrt{5}\) is formed and it is irrational.

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{5}\). \(\sqrt{4}=2\) is rational. After this \(\sqrt{5}\) is formed and it is irrational.

Step 3

Exam Tip

\(\sqrt{4}=2\) परिमेय है। इसके बाद \(\sqrt{5}\) बनता है जो अपरिमेय है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{27}\) से अगला कर्ण कौन-सा बनेगा?

In a square root spiral, which hypotenuse is formed after \(\sqrt{27}\)?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{28}\)

Step 1

Concept

The next hypotenuse is \(\sqrt{27+1}=\sqrt{28}\). Remember the sequential rule.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{28}\). The next hypotenuse is \(\sqrt{27+1}=\sqrt{28}\). Remember the sequential rule.

Step 3

Exam Tip

अगला कर्ण \(\sqrt{27+1}=\sqrt{28}\) होगा। क्रमिक नियम याद रखें।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{30}\) बनाने से ठीक पहले कौन-सा कर्ण होगा?

Just before making \(\sqrt{30}\) in a square root spiral, which hypotenuse will be present?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{29}\)

Step 1

Concept

Drawing a (1) unit perpendicular on \(\sqrt{29}\) gives \(\sqrt{30}\). This is the construction order.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{29}\). Drawing a (1) unit perpendicular on \(\sqrt{29}\) gives \(\sqrt{30}\). This is the construction order.

Step 3

Exam Tip

\(\sqrt{29}\) पर (1) इकाई लंब बनाने से \(\sqrt{30}\) मिलता है। यही निर्माण का क्रम है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में लंबाई को संख्या रेखा पर रखने के लिए किसकी सहायता ली जाती है?

What is used to place the length from a square root spiral on the number line?

Explanation opens after your attempt
Correct Answer

A. कंपासCompass

Step 1

Concept

Using a compass the hypotenuse length is transferred to the number line by drawing an arc. This gives the square root point.

Step 2

Why this answer is correct

The correct answer is A. कंपास / Compass. Using a compass the hypotenuse length is transferred to the number line by drawing an arc. This gives the square root point.

Step 3

Exam Tip

कंपास से कर्ण की लंबाई लेकर संख्या रेखा पर चाप लगाया जाता है। इससे वर्गमूल का बिंदु मिलता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में कौन-सा कथन सही है?

Which statement is correct for a square root spiral?

Explanation opens after your attempt
Correct Answer

A. हर नया कर्ण पिछले से संबंधित अगला वर्गमूल देता हैEach new hypotenuse gives the next related square root

Step 1

Concept

In a square root spiral the new hypotenuse gives the next square root in order. It is made from right triangles.

Step 2

Why this answer is correct

The correct answer is A. हर नया कर्ण पिछले से संबंधित अगला वर्गमूल देता है / Each new hypotenuse gives the next related square root. In a square root spiral the new hypotenuse gives the next square root in order. It is made from right triangles.

Step 3

Exam Tip

वर्गमूल सर्पिल में नया कर्ण क्रम से अगला वर्गमूल देता है। यह समकोण त्रिभुजों से बनता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{2}\) को संख्या रेखा पर किसके बीच रखा जाता है?

In a square root spiral, \(\sqrt{2}\) is placed between which numbers on the number line?

Explanation opens after your attempt
Correct Answer

B. (1) और (2)(1) and (2)

Step 1

Concept

Because \(1^2<2<2^2\). Therefore \(1<\sqrt{2}<2\).

Step 2

Why this answer is correct

The correct answer is B. (1) और (2) / (1) and (2). Because \(1^2<2<2^2\). Therefore \(1<\sqrt{2}<2\).

Step 3

Exam Tip

क्योंकि \(1^2<2<2^2\) है। इसलिए \(1<\sqrt{2}<2\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{10}\) किन पूर्ण संख्याओं के बीच होगा?

In a square root spiral, \(\sqrt{10}\) lies between which whole numbers?

Explanation opens after your attempt
Correct Answer

C. (3) और (4)(3) and (4)

Step 1

Concept

Because \(3^2<10<4^2\). Therefore \(3<\sqrt{10}<4\).

Step 2

Why this answer is correct

The correct answer is C. (3) और (4) / (3) and (4). Because \(3^2<10<4^2\). Therefore \(3<\sqrt{10}<4\).

Step 3

Exam Tip

क्योंकि \(3^2<10<4^2\) है। इसलिए \(3<\sqrt{10}<4\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{24}\) किन पूर्ण संख्याओं के बीच होगा?

In a square root spiral, \(\sqrt{24}\) lies between which whole numbers?

Explanation opens after your attempt
Correct Answer

B. (4) और (5)(4) and (5)

Step 1

Concept

Because \(4^2<24<5^2\). Therefore \(4<\sqrt{24}<5\).

Step 2

Why this answer is correct

The correct answer is B. (4) और (5) / (4) and (5). Because \(4^2<24<5^2\). Therefore \(4<\sqrt{24}<5\).

Step 3

Exam Tip

क्योंकि \(4^2<24<5^2\) है। इसलिए \(4<\sqrt{24}<5\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में (1) इकाई लंब जोड़ने पर \(\sqrt{n}\) से \(\sqrt{n+1}\) क्यों बनता है?

Why does \(\sqrt{n}\) become \(\sqrt{n+1}\) after adding a (1) unit perpendicular in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. क्योंकि (\(\sqrt{n}\)2+12=n+1)Because (\(\sqrt{n}\)2+12=n+1)

Step 1

Concept

In Pythagoras theorem the squares of sides are added. Therefore the new hypotenuse is \(\sqrt{n+1}\).

Step 2

Why this answer is correct

The correct answer is A. क्योंकि (\(\sqrt{n}\)2+12=n+1) / Because (\(\sqrt{n}\)2+12=n+1). In Pythagoras theorem the squares of sides are added. Therefore the new hypotenuse is \(\sqrt{n+1}\).

Step 3

Exam Tip

पाइथागोरस प्रमेय में भुजाओं के वर्ग जुड़ते हैं। इसलिए नया कर्ण \(\sqrt{n+1}\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{3}\) से \(\sqrt{4}\) बनाने में कौन-सी बात गलत नहीं है?

In making \(\sqrt{4}\) from \(\sqrt{3}\) in a square root spiral, which statement is not wrong?

Explanation opens after your attempt
Correct Answer

A. (\(\sqrt{3}\)2+12=4)

Step 1

Concept

The correct calculation uses the sum of squares. \(\sqrt{3}+1\) is not taken as \(\sqrt{4}\).

Step 2

Why this answer is correct

The correct answer is A. (\(\sqrt{3}\)2+12=4). The correct calculation uses the sum of squares. \(\sqrt{3}+1\) is not taken as \(\sqrt{4}\).

Step 3

Exam Tip

सही गणना वर्गों के योग से होती है। \(\sqrt{3}+1\) को \(\sqrt{4}\) नहीं माना जाता।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{32}\) बनाने के लिए पिछला कर्ण कौन-सा होगा?

To make \(\sqrt{32}\) in a square root spiral, which will be the previous hypotenuse?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{31}\)

Step 1

Concept

Adding a (1) unit perpendicular to \(\sqrt{31}\) gives \(\sqrt{32}\). The previous number is (1) less.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{31}\). Adding a (1) unit perpendicular to \(\sqrt{31}\) gives \(\sqrt{32}\). The previous number is (1) less.

Step 3

Exam Tip

\(\sqrt{31}\) में (1) इकाई लंब जोड़ने पर \(\sqrt{32}\) मिलता है। पिछली संख्या (1) कम होती है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{36}\) की लंबाई क्या होगी?

What is the length of \(\sqrt{36}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

\(\sqrt{36}=6\). The number (36) is a perfect square.

Step 2

Why this answer is correct

The correct answer is C. (6). \(\sqrt{36}=6\). The number (36) is a perfect square.

Step 3

Exam Tip

\(\sqrt{36}=6\) होता है। (36) एक पूर्ण वर्ग है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{40}\) किस दो पूर्ण संख्याओं के बीच होगा?

In a square root spiral, \(\sqrt{40}\) lies between which two whole numbers?

Explanation opens after your attempt
Correct Answer

B. (6) और (7)(6) and (7)

Step 1

Concept

Because \(6^2<40<7^2\). Therefore \(6<\sqrt{40}<7\).

Step 2

Why this answer is correct

The correct answer is B. (6) और (7) / (6) and (7). Because \(6^2<40<7^2\). Therefore \(6<\sqrt{40}<7\).

Step 3

Exam Tip

क्योंकि \(6^2<40<7^2\) है। इसलिए \(6<\sqrt{40}<7\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{49}\) को देखकर कौन-सा निष्कर्ष सही है?

Which conclusion is correct by looking at \(\sqrt{49}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. यह (7) के बराबर हैIt is equal to (7)

Step 1

Concept

\(\sqrt{49}=7\). Square roots of perfect squares are whole numbers.

Step 2

Why this answer is correct

The correct answer is A. यह (7) के बराबर है / It is equal to (7). \(\sqrt{49}=7\). Square roots of perfect squares are whole numbers.

Step 3

Exam Tip

\(\sqrt{49}=7\) होता है। पूर्ण वर्गों के वर्गमूल पूर्ण संख्या होते हैं।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में आकृति सर्पिल जैसी क्यों दिखती है?

Why does the figure in a square root spiral look like a spiral?

Explanation opens after your attempt
Correct Answer

A. क्योंकि समकोण त्रिभुज क्रम से घूमते हुए बनते हैंBecause right triangles are formed successively while turning

Step 1

Concept

The direction of each new triangle changes. Continuous turning forms a spiral shape.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि समकोण त्रिभुज क्रम से घूमते हुए बनते हैं / Because right triangles are formed successively while turning. The direction of each new triangle changes. Continuous turning forms a spiral shape.

Step 3

Exam Tip

हर नए त्रिभुज की दिशा बदलती है। लगातार दिशा बदलने से सर्पिल आकृति बनती है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{50}\) बनाने से पहले कौन-सा कर्ण बनेगा?

Before making \(\sqrt{50}\) in a square root spiral, which hypotenuse will be formed?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{49}\)

Step 1

Concept

Adding a (1) unit perpendicular to \(\sqrt{49}\) gives \(\sqrt{50}\). Take the previous square root in order.

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{49}\). Adding a (1) unit perpendicular to \(\sqrt{49}\) gives \(\sqrt{50}\). Take the previous square root in order.

Step 3

Exam Tip

\(\sqrt{49}\) पर (1) इकाई लंब जोड़ने से \(\sqrt{50}\) बनेगा। क्रम में पिछले वर्गमूल को लें।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{11}\) से नया कर्ण बनाने पर कौन-सा मिलेगा?

If a new hypotenuse is made from \(\sqrt{11}\) in a square root spiral, which one is obtained?

Explanation opens after your attempt
Correct Answer

C. \(\sqrt{12}\)

Step 1

Concept

Taking a (1) unit perpendicular with \(\sqrt{11}\) gives \(\sqrt{12}\). This is the step rule of the spiral.

Step 2

Why this answer is correct

The correct answer is C. \(\sqrt{12}\). Taking a (1) unit perpendicular with \(\sqrt{11}\) gives \(\sqrt{12}\). This is the step rule of the spiral.

Step 3

Exam Tip

\(\sqrt{11}\) के साथ (1) इकाई लंब लेने पर \(\sqrt{12}\) बनता है। यह सर्पिल का क्रमिक नियम है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{2}\) की लंबाई किस प्रकार की संख्या है?

In a square root spiral, what type of number is the length \(\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

A. अपरिमेय संख्याIrrational number

Step 1

Concept

\(\sqrt{2}\) is not the square root of a perfect square. Therefore it is irrational.

Step 2

Why this answer is correct

The correct answer is A. अपरिमेय संख्या / Irrational number. \(\sqrt{2}\) is not the square root of a perfect square. Therefore it is irrational.

Step 3

Exam Tip

\(\sqrt{2}\) पूर्ण वर्ग का वर्गमूल नहीं है। इसलिए यह अपरिमेय संख्या है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{3}\) का स्थान संख्या रेखा पर किसके बीच होगा?

In a square root spiral, the point for \(\sqrt{3}\) lies between which numbers on the number line?

Explanation opens after your attempt
Correct Answer

B. (1) और (2)(1) and (2)

Step 1

Concept

Because \(1^2<3<2^2\). Therefore \(\sqrt{3}\) lies between (1) and (2).

Step 2

Why this answer is correct

The correct answer is B. (1) और (2) / (1) and (2). Because \(1^2<3<2^2\). Therefore \(\sqrt{3}\) lies between (1) and (2).

Step 3

Exam Tip

क्योंकि \(1^2<3<2^2\) है। इसलिए \(\sqrt{3}\) (1) और (2) के बीच है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{17}\) किस दो पूर्ण संख्याओं के बीच होगा?

In a square root spiral, \(\sqrt{17}\) lies between which two whole numbers?

Explanation opens after your attempt
Correct Answer

B. (4) और (5)(4) and (5)

Step 1

Concept

Because \(4^2<17<5^2\). Therefore \(4<\sqrt{17}<5\).

Step 2

Why this answer is correct

The correct answer is B. (4) और (5) / (4) and (5). Because \(4^2<17<5^2\). Therefore \(4<\sqrt{17}<5\).

Step 3

Exam Tip

क्योंकि \(4^2<17<5^2\) है। इसलिए \(4<\sqrt{17}<5\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{2}\) से \(\sqrt{3}\) बनने पर कौन-सी गलत धारणा से बचना चाहिए?

When \(\sqrt{3}\) is formed from \(\sqrt{2}\) in a square root spiral, which wrong idea should be avoided?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}+1=\sqrt{3}\) माननाThinking \(\sqrt{2}+1=\sqrt{3}\)

Step 1

Concept

\(\sqrt{3}\) is formed from the sum of squares, not direct addition. The correct calculation is (\(\sqrt{2}\)2+12=3).

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{2}+1=\sqrt{3}\) मानना / Thinking \(\sqrt{2}+1=\sqrt{3}\). \(\sqrt{3}\) is formed from the sum of squares, not direct addition. The correct calculation is (\(\sqrt{2}\)2+12=3).

Step 3

Exam Tip

\(\sqrt{3}\) वर्गों के योग से बनता है, सीधे जोड़ से नहीं। सही गणना (\(\sqrt{2}\)2+12=3) है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में कौन-सा उपकरण समकोण बनाने में सहायक हो सकता है?

Which tool can help in making a right angle in a square root spiral?

Explanation opens after your attempt
Correct Answer

A. सेट स्क्वायरSet square

Step 1

Concept

A set square helps make a \(90^\circ\) angle easily. The correct right angle gives the correct hypotenuse.

Step 2

Why this answer is correct

The correct answer is A. सेट स्क्वायर / Set square. A set square helps make a \(90^\circ\) angle easily. The correct right angle gives the correct hypotenuse.

Step 3

Exam Tip

सेट स्क्वायर से \(90^\circ\) कोण आसानी से बनाया जा सकता है। सही समकोण से ही सही कर्ण मिलता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{64}\) की लंबाई क्या होगी?

What is the length of \(\sqrt{64}\) in a square root spiral?

Explanation opens after your attempt
Correct Answer

C. (8)

Step 1

Concept

\(\sqrt{64}=8\). The number (64) is a perfect square.

Step 2

Why this answer is correct

The correct answer is C. (8). \(\sqrt{64}=8\). The number (64) is a perfect square.

Step 3

Exam Tip

\(\sqrt{64}=8\) होता है। (64) पूर्ण वर्ग है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल में \(\sqrt{26}\) किस दो पूर्ण संख्याओं के बीच होगा?

In a square root spiral, \(\sqrt{26}\) lies between which two whole numbers?

Explanation opens after your attempt
Correct Answer

B. (5) और (6)(5) and (6)

Step 1

Concept

Because \(5^2<26<6^2\). Therefore \(5<\sqrt{26}<6\).

Step 2

Why this answer is correct

The correct answer is B. (5) और (6) / (5) and (6). Because \(5^2<26<6^2\). Therefore \(5<\sqrt{26}<6\).

Step 3

Exam Tip

क्योंकि \(5^2<26<6^2\) है। इसलिए \(5<\sqrt{26}<6\) होता है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल का मुख्य विचार एक वाक्य में क्या है?

What is the main idea of a square root spiral in one sentence?

Explanation opens after your attempt
Correct Answer

A. समकोण त्रिभुजों से क्रमिक वर्गमूल लंबाइयाँ बनानाMaking successive square root lengths using right triangles

Step 1

Concept

In a square root spiral each new right triangle gives the next square root. This is its main idea.

Step 2

Why this answer is correct

The correct answer is A. समकोण त्रिभुजों से क्रमिक वर्गमूल लंबाइयाँ बनाना / Making successive square root lengths using right triangles. In a square root spiral each new right triangle gives the next square root. This is its main idea.

Step 3

Exam Tip

वर्गमूल सर्पिल में हर नया समकोण त्रिभुज अगला वर्गमूल देता है। यही इसका मुख्य विचार है।

Open Question Page
Ask Friends

वर्गमूल सर्पिल से मिली लंबाई को संख्या रेखा पर अंकित करते समय कंपास की नोक सामान्यतः किस बिंदु पर रखी जाती है?

While marking the length obtained from a square root spiral on the number line, where is the compass point usually placed?

Explanation opens after your attempt
Correct Answer

A. मूल बिंदुOrigin

Step 1

Concept

To show the length on the number line, the compass point is placed at the origin and an arc is drawn. This gives the correct square root point.

Step 2

Why this answer is correct

The correct answer is A. मूल बिंदु / Origin. To show the length on the number line, the compass point is placed at the origin and an arc is drawn. This gives the correct square root point.

Step 3

Exam Tip

लंबाई को संख्या रेखा पर दिखाने के लिए कंपास की नोक मूल बिंदु पर रखकर चाप खींचते हैं। इससे सही वर्गमूल बिंदु मिलता है।

Open Question Page
Ask Friends
FAQs

Class 9 Mathematics Quiz FAQs

How many questions are in this quiz?

This level is designed for 50 active questions. Currently 50 questions are available for the selected class and difficulty.

Is there a timer in this quiz?

Yes, the timer uses 40 seconds per question for Easy difficulty and shows the total remaining time on the page.

Can I open each question separately?

Yes, every question has its own SEO-friendly page with answer, explanation and related practice links.