100 results found for "degree-to-radian-300" in Class 10.
यदि अशून्य बहुपद (p(x)) की घात (6) और (q(x)) की घात (3) है, तो (p(x)q(x)) की घात क्या होगी?
If non-zero polynomial (p(x)) has degree (6) and (q(x)) has degree (3), what will be the degree of (p(x)q(x))?
#degree
#product
#polynomial
A (3)
B (6)
C (9)
D (18)
Explanation opens after your attempt
Step 1
Concept
In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.
Step 2
Why this answer is correct
The correct answer is C. (9). In the product of two non-zero polynomials, degrees add, so (6+3=9). In multiplication, look at the highest-power terms.
Step 3
Exam Tip
दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (6+3=9)। गुणन में उच्चतम घातों का गुणन देखें।
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यदि (p(x)) की घात (5) और (q(x)) की घात (2) है, तो अशून्य (p(x)q(x)) की घात क्या होगी?
If the degree of (p(x)) is (5) and the degree of (q(x)) is (2), what is the degree of non-zero (p(x)q(x))?
#degree
#product
#polynomial
A (3)
B (5)
C (7)
D (10)
Explanation opens after your attempt
Step 1
Concept
In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.
Step 2
Why this answer is correct
The correct answer is C. (7). In the product of two non-zero polynomials, degrees add, so (5+2=7). Remember degree addition in multiplication.
Step 3
Exam Tip
दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (5+2=7)। गुणन में घातों का योग याद रखें।
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यदि (p(x)) की घात (4) और (q(x)) की घात (3) है, तो सामान्यतः (p(x)q(x)) की घात क्या होगी?
If the degree of (p(x)) is (4) and the degree of (q(x)) is (3), what will generally be the degree of (p(x)q(x))?
#degree
#product
#polynomial
A (1)
B (7)
C (12)
D (4)
Explanation opens after your attempt
Step 1
Concept
In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.
Step 2
Why this answer is correct
The correct answer is B. (7). In the product of two non-zero polynomials, degrees add, so (4+3=7). Remember degree addition in multiplication.
Step 3
Exam Tip
दो अशून्य बहुपदों के गुणन में घातें जुड़ती हैं, इसलिए (4+3=7)। गुणन में घातों का योग याद रखें।
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संख्या 300 का अभाज्य गुणनखंडन कौन सा है?
Which is the prime factorisation of 300?
#prime-factorisation
#number-300
#easy
A \(2^2\times3\times5^2\)
B \(30\times10\)
C \(3\times100\)
D \(2\times150\)
Explanation opens after your attempt
Correct Answer
A. \(2^2\times3\times5^2\)
Step 1
Concept
Write \(300=3\times100\).
Step 2
Why this answer is correct
\(100=2^2\times5^2\), so \(300=2^2\times3\times5^2\).
Step 3
Exam Tip
Convert 100 into prime powers. चरण 1: \(300=3\times100\) लिखें। चरण 2: \(100=2^2\times5^2\), इसलिए \(300=2^2\times3\times5^2\)। चरण 3: 100 को अभाज्य घातों में बदलें।
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एक दुकान पहले दिन (300) पैकेट बेचती है और हर अगले दिन (16) पैकेट कम बेचती है। (13) दिनों में कुल कितने पैकेट बिकेंगे?
A shop sells (300) packets on the first day and (16) fewer packets each next day. How many packets are sold in (13) days?
#ap
#word-problem
#sales
#decrease
A (2552)
B (2602)
C (2652)
D (2702)
Explanation opens after your attempt
Step 1
Concept
The sales form the decreasing AP \(300,284,268,\ldots\) and \(S_{13}=2652\). Exam tip: keep (d) negative for decreasing sales.
Step 2
Why this answer is correct
The correct answer is C. (2652). The sales form the decreasing AP \(300,284,268,\ldots\) and \(S_{13}=2652\). Exam tip: keep (d) negative for decreasing sales.
Step 3
Exam Tip
बिक्री \(300,284,268,\ldots\) घटती समान्तर श्रेणी है और \(S_{13}=2652\)। परीक्षा में कम होती बिक्री में (d) ऋणात्मक रखें।
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एक दान केंद्र में पहले दिन (300) भोजन पैकेट बांटे गए और हर अगले दिन (10) पैकेट कम बांटे गए। (18) दिनों में कुल कितने पैकेट बांटे जाएंगे?
At a donation centre (300) food packets are distributed on the first day and (10) fewer packets are distributed each next day. How many packets are distributed in (18) days?
#ap
#word-problem
#food-packets
#total
A (3690)
B (3780)
C (3870)
D (3960)
Explanation opens after your attempt
Step 1
Concept
The packets form the decreasing AP \(300,290,280,\ldots\) and \(S_{18}=3870\). Exam tip: keep the common difference negative for decreasing quantities.
Step 2
Why this answer is correct
The correct answer is C. (3870). The packets form the decreasing AP \(300,290,280,\ldots\) and \(S_{18}=3870\). Exam tip: keep the common difference negative for decreasing quantities.
Step 3
Exam Tip
पैकेट \(300,290,280,\ldots\) घटती समान्तर श्रेणी हैं और \(S_{18}=3870\)। परीक्षा में घटती मात्रा में सार्व अंतर ऋणात्मक रखें।
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एक फंड में पहले सप्ताह (300) रुपये जमा हुए और हर अगले सप्ताह (45) रुपये अधिक जमा हुए। (16) सप्ताहों में कुल कितनी राशि जमा होगी?
A fund receives (300) rupees in the first week and (45) rupees more each next week. What is the total amount in (16) weeks?
#ap
#word-problem
#fund
#total
A (9900)
B (10200)
C (10500)
D (10800)
Explanation opens after your attempt
Correct Answer
B. (10200)
Step 1
Concept
The deposits are \(300,345,390,\ldots\) and \(S_{16}=10200\). Exam tip: treat weekly deposits as AP terms.
Step 2
Why this answer is correct
The correct answer is B. (10200). The deposits are \(300,345,390,\ldots\) and \(S_{16}=10200\). Exam tip: treat weekly deposits as AP terms.
Step 3
Exam Tip
जमा राशि \(300,345,390,\ldots\) है और \(S_{16}=10200\)। परीक्षा में साप्ताहिक जमा को ए.पी. के पद मानें।
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एक फैक्टरी पहले दिन (300) इकाइयां बनाती है और हर अगले दिन (20) इकाइयां कम बनाती है। पहले (12) दिनों में कुल उत्पादन कितना होगा?
A factory makes (300) units on the first day and (20) fewer units each next day. What is the total production in the first (12) days?
#ap
#word-problem
#factory
#decreasing
A (2160)
B (2220)
C (2250)
D (2280)
Explanation opens after your attempt
Step 1
Concept
The production is the decreasing AP \(300,280,260,\ldots\) and \(S_{12}=2280\). Exam tip: treat a decrease as a negative common difference.
Step 2
Why this answer is correct
The correct answer is D. (2280). The production is the decreasing AP \(300,280,260,\ldots\) and \(S_{12}=2280\). Exam tip: treat a decrease as a negative common difference.
Step 3
Exam Tip
उत्पादन \(300,280,260,\ldots\) घटती समान्तर श्रेणी है और \(S_{12}=2280\)। परीक्षा में कमी को ऋणात्मक सार्व अंतर मानें।
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एक स्कूल बस पहले दिन (40) किलोमीटर चली और (5) दिनों में कुल (300) किलोमीटर चली। यदि दूरी हर दिन समान रूप से बढ़ी तो दैनिक वृद्धि कितनी थी?
A school bus travelled (40) km on the first day and (300) km in (5) days. If the distance increased equally each day then what was the daily increase?
#ap
#word-problem
#bus-distance
A (8)
B (10)
C (12)
D (15)
Explanation opens after your attempt
Step 1
Concept
Using \(S_5=300\) and (a=40) gives (d=10). Exam tip: daily increase can be found from total distance.
Step 2
Why this answer is correct
The correct answer is B. (10). Using \(S_5=300\) and (a=40) gives (d=10). Exam tip: daily increase can be found from total distance.
Step 3
Exam Tip
\(S_5=300\) और (a=40) रखने पर (d=10) मिलता है। परीक्षा में कुल दूरी से दैनिक वृद्धि निकाली जा सकती है।
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एक बैंक योजना में पहले महीने (300) रुपये जमा होते हैं और हर अगले महीने (100) रुपये अधिक जमा होते हैं। (6)वें महीने कितनी राशि जमा होगी?
In a bank plan (300) rupees are deposited in the first month and (100) rupees more each next month. How much is deposited in the (6)th month?
#ap
#word-problem
#deposit
A (700) रुपये / (700) rupees
B (800) रुपये / (800) rupees
C (900) रुपये / (900) rupees
D (1000) रुपये / (1000) rupees
Explanation opens after your attempt
Correct Answer
B. (800) रुपये / (800) rupees
Step 1
Concept
The deposits form an AP. (a_6=300+5(100)=800).
Step 2
Why this answer is correct
The correct answer is B. (800) रुपये / (800) rupees. The deposits form an AP. (a_6=300+5(100)=800).
Step 3
Exam Tip
जमा राशि समान्तर श्रेणी है। (a_6=300+5(100)=800)।
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एक गाड़ी की सर्विस लागत पहले वर्ष (1200) रुपये है और हर अगले वर्ष (300) रुपये बढ़ती है। (6)वें वर्ष लागत कितनी होगी?
The service cost of a vehicle is (1200) rupees in the first year and increases by (300) rupees each next year. What is the cost in the (6)th year?
#ap
#word-problem
#cost
A (2400) रुपये
B (2700) रुपये
C (3000) रुपये
D (3300) रुपये
Explanation opens after your attempt
Correct Answer
B. (2700) रुपये
Step 1
Concept
The cost forms an AP. (a_6=1200+5(300)=2700).
Step 2
Why this answer is correct
The correct answer is B. (2700) रुपये. The cost forms an AP. (a_6=1200+5(300)=2700).
Step 3
Exam Tip
लागत समान्तर श्रेणी है। (a_6=1200+5(300)=2700)।
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समांतर श्रेढ़ी \(300,287,274,\ldots\) के पहले (35) पदों का योग ज्ञात कीजिए।
Find the sum of the first (35) terms of the AP \(300,287,274,\ldots\).
#decreasing ap
#negative difference
#sum
A (2715)
B (2735)
C (2755)
D (2765)
Explanation opens after your attempt
Step 1
Concept
Here (d=-13), and \(S_{35}=2765\). Do not forget the negative sign of the common difference in a decreasing AP.
Step 2
Why this answer is correct
The correct answer is D. (2765). Here (d=-13), and \(S_{35}=2765\). Do not forget the negative sign of the common difference in a decreasing AP.
Step 3
Exam Tip
यहाँ (d=-13) है और \(S_{35}=2765\) आता है। घटती श्रेढ़ी में सार्व अंतर का ऋणात्मक चिह्न न भूलें।
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किसी समांतर श्रेढ़ी के पहले पद और (60)वें पद का योग (300) है। (21)वें पद से (40)वें पद तक का योग ज्ञात कीजिए।
The sum of the first term and the (60)th term of an AP is (300). Find the sum from the (21)st term to the (40)th term.
#symmetric terms
#range sum
#ap
A (2900)
B (2950)
C (3000)
D (3050)
Explanation opens after your attempt
Step 1
Concept
\(a_{21}+a_{40}=a_1+a_{60}=300\), so the sum of (20) terms is (3000). Sums of symmetric terms are equal in an AP.
Step 2
Why this answer is correct
The correct answer is C. (3000). \(a_{21}+a_{40}=a_1+a_{60}=300\), so the sum of (20) terms is (3000). Sums of symmetric terms are equal in an AP.
Step 3
Exam Tip
\(a_{21}+a_{40}=a_1+a_{60}=300\), इसलिए (20) पदों का योग (3000) है। सममित पदों का योग बराबर होता है।
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(300) से (1200) तक उन सभी संख्याओं का योग ज्ञात कीजिए जो (18) से विभाज्य हैं लेकिन (24) से विभाज्य नहीं हैं।
Find the sum of all numbers from (300) to (1200) that are divisible by (18) but not by (24).
#lcm
#divisible not divisible
#ap
A (27918)
B (28098)
C (28458)
D (28278)
Explanation opens after your attempt
Correct Answer
D. (28278)
Step 1
Concept
Subtracting the sum of multiples of (72) from the sum of multiples of (18) gives (28278). Use the least common multiple to remove overlap.
Step 2
Why this answer is correct
The correct answer is D. (28278). Subtracting the sum of multiples of (72) from the sum of multiples of (18) gives (28278). Use the least common multiple to remove overlap.
Step 3
Exam Tip
(18) के गुणजों के योग से (72) के गुणजों का योग घटाने पर (28278) मिलता है। overlap हटाने के लिए लघुत्तम समापवर्त्य लें।
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(300) से कम (25) के सभी तीन अंकों वाले गुणजों का योग कितना है?
What is the sum of all three-digit multiples of (25) less than (300)?
#three_digit_numbers
#multiples
#ap_sum
A (1500)
B (1525)
C (1550)
D (1575)
Explanation opens after your attempt
Step 1
Concept
The multiples are \(100,125,\ldots,275\), and there are (8) terms, so the sum is (1500). Decide the first and last terms according to the limit.
Step 2
Why this answer is correct
The correct answer is A. (1500). The multiples are \(100,125,\ldots,275\), and there are (8) terms, so the sum is (1500). Decide the first and last terms according to the limit.
Step 3
Exam Tip
गुणज \(100,125,\ldots,275\) हैं और (8) पद हैं, इसलिए योग (1500) है। सीमा के अनुसार पहला और अंतिम पद तय करें।
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(120) और (300) के बीच (9) से विभाज्य संख्याओं का योग ज्ञात कीजिए।
Find the sum of the numbers divisible by (9) between (120) and (300).
#divisibility
#range
#ap_sum
A (4210)
B (4220)
C (4230)
D (4240)
Explanation opens after your attempt
Step 1
Concept
The numbers are \(126,135,\ldots,297\), and there are (20) terms, so the sum is (4230). In boundary questions, choose the first and last terms carefully.
Step 2
Why this answer is correct
The correct answer is C. (4230). The numbers are \(126,135,\ldots,297\), and there are (20) terms, so the sum is (4230). In boundary questions, choose the first and last terms carefully.
Step 3
Exam Tip
संख्याएँ \(126,135,\ldots,297\) हैं और (20) पद हैं, इसलिए योग (4230) है। सीमा वाले प्रश्न में पहला और अंतिम पद सावधानी से चुनें।
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एक बचत योजना में जमा राशि \(150,225,300,\ldots\) रुपये है। पहले (10) महीनों की कुल बचत कितनी होगी?
In a savings plan, the deposits are \(150,225,300,\ldots\) rupees. What is the total saving in the first (10) months?
#word_problem
#savings
#ap_sum
A (4750)
B (4875)
C (5000)
D (5125)
Explanation opens after your attempt
Step 1
Concept
The tenth deposit is (825) rupees, so the total is (S_{10}=\frac{10}{2}(150+825)=4875) rupees. Do not forget the unit in money problems.
Step 2
Why this answer is correct
The correct answer is B. (4875). The tenth deposit is (825) rupees, so the total is (S_{10}=\frac{10}{2}(150+825)=4875) rupees. Do not forget the unit in money problems.
Step 3
Exam Tip
दसवाँ जमा (825) रुपये है, इसलिए कुल (S_{10}=\frac{10}{2}(150+825)=4875) रुपये है। राशि वाले प्रश्न में इकाई न भूलें।
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एक बचत योजना में हर महीने जमा राशि \(200,250,300,\ldots\) रुपये है। पहले (8) महीनों की कुल राशि कितनी होगी?
In a savings plan, the monthly deposit is \(200,250,300,\ldots\) rupees. What is the total amount for the first (8) months?
#word_problem
#savings
#ap_sum
A (2900)
B (3000)
C (3100)
D (3200)
Explanation opens after your attempt
Step 1
Concept
Here (a=200), (d=50), and (n=8), so the total is (3000) rupees. In money questions, keep the unit in mind.
Step 2
Why this answer is correct
The correct answer is B. (3000). Here (a=200), (d=50), and (n=8), so the total is (3000) rupees. In money questions, keep the unit in mind.
Step 3
Exam Tip
यहाँ (a=200), (d=50), (n=8) है, इसलिए कुल (3000) रुपये होंगे। राशि वाले प्रश्न में इकाई भी लिखें।
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यदि \(a_n=15n-8\) है, तो \(a_{6k}-a_{2k}=300\) के लिए (k) क्या होगा?
If \(a_n=15n-8\), what is (k) for \(a_{6k}-a_{2k}=300\)?
#ap expert direct index
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
(a_{6k}-a_{2k}=(90k-8)-(30k-8)=60k). From (60k=300), (k=5).
Step 2
Why this answer is correct
The correct answer is B. (5). (a_{6k}-a_{2k}=(90k-8)-(30k-8)=60k). From (60k=300), (k=5).
Step 3
Exam Tip
(a_{6k}-a_{2k}=(90k-8)-(30k-8)=60k)। (60k=300) से (k=5)।
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एक समान्तर श्रेणी में \(a_4+a_{12}+a_{20}=300\) है। \(a_{12}\) का मान क्या होगा?
In an AP, \(a_4+a_{12}+a_{20}=300\). What is the value of \(a_{12}\)?
#ap expert average
A (90)
B (95)
C (100)
D (105)
Explanation opens after your attempt
Step 1
Concept
The three terms are equally spaced, so the middle term is the average. \(a_{12}=\frac{300}{3}=100\).
Step 2
Why this answer is correct
The correct answer is C. (100). The three terms are equally spaced, so the middle term is the average. \(a_{12}=\frac{300}{3}=100\).
Step 3
Exam Tip
तीनों पद समान दूरी पर हैं, इसलिए मध्य पद औसत होगा। \(a_{12}=\frac{300}{3}=100\)।
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समान्तर श्रेणी \(-38,-25,-12,\ldots\) में (300) से बड़ा पहला पद कौन-सा है?
In the AP \(-38,-25,-12,\ldots\), what is the first term greater than (300)?
#ap boundary negative start hard
A (300)
B (313)
C (326)
D (339)
Explanation opens after your attempt
Step 1
Concept
(a_n=-38+13(n-1)). The first term after (300) is (313).
Step 2
Why this answer is correct
The correct answer is B. (313). (a_n=-38+13(n-1)). The first term after (300) is (313).
Step 3
Exam Tip
(a_n=-38+13(n-1))। (300) के बाद आने वाला पहला पद (313) है।
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समान्तर श्रेणी \(11,19,27,\ldots\) में (300) से बड़ा पहला पद कौन-सा है?
What is the first term greater than (300) in the AP \(11,19,27,\ldots\)?
#ap-boundary-greater-hard
A (299)
B (307)
C (315)
D (323)
Explanation opens after your attempt
Step 1
Concept
(a_n=11+8(n-1)). The first term greater than (300) is (307) because the previous term is (299).
Step 2
Why this answer is correct
The correct answer is B. (307). (a_n=11+8(n-1)). The first term greater than (300) is (307) because the previous term is (299).
Step 3
Exam Tip
(a_n=11+8(n-1))। (300) से बड़ा पहला पद (307) है क्योंकि पिछला पद (299) है।
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समान्तर श्रेणी \(14,23,32,\ldots\) में (300) और (350) के बीच आने वाला सबसे बड़ा पद क्या है?
In the AP \(14,23,32,\ldots\), what is the greatest term between (300) and (350)?
#ap-range-hard
A (329)
B (338)
C (347)
D (356)
Explanation opens after your attempt
Step 1
Concept
The terms are of the form (14+9(n-1)). The greatest suitable term less than (350) is (347).
Step 2
Why this answer is correct
The correct answer is C. (347). The terms are of the form (14+9(n-1)). The greatest suitable term less than (350) is (347).
Step 3
Exam Tip
पद (14+9(n-1)) के रूप में हैं। (350) से कम सबसे बड़ा उपयुक्त पद (347) है।
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(300) से बड़े (8) के गुणजों की समान्तर श्रेणी \(304,312,320,\ldots\) है। इसका (25)वां पद क्या होगा?
The AP of multiples of (8) greater than (300) is \(304,312,320,\ldots\). What is its (25)th term?
#ap
#multiples
#nth-term
#class10
A (496)
B (488)
C (492)
D (500)
Explanation opens after your attempt
Step 1
Concept
Here (a=304) and (d=8) so \(a_{25}=304+24\times8=496\). Choose the first correct multiple after the limit.
Step 2
Why this answer is correct
The correct answer is A. (496). Here (a=304) and (d=8) so \(a_{25}=304+24\times8=496\). Choose the first correct multiple after the limit.
Step 3
Exam Tip
यहां (a=304) और (d=8) है इसलिए \(a_{25}=304+24\times8=496\)। सीमा के बाद पहला सही गुणज चुनें।
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एक दुकान में दो वस्तुओं के लिए (5x+9y=300) और (15x+27y=900) समीकरण बनते हैं। हलों की संख्या क्या होगी?
In a shop, the equations for two items are (5x+9y=300) and (15x+27y=900). How many solutions will there be?
#linear equations
#hard
#word problem
#infinite solutions
A कोई हल नहीं / No solution
B एक अद्वितीय हल / One unique solution
C अनंत हल / Infinitely many solutions
D दो हल / Two solutions
Explanation opens after your attempt
Correct Answer
C. अनंत हल / Infinitely many solutions
Step 1
Concept
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
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एक कलम की कीमत (p) और एक कॉपी की कीमत (q) है। यदि (3p+4q=260) और (5p+2q=300), तो (q) का मान क्या है?
The price of one pen is (p) and one notebook is (q). If (3p+4q=260) and (5p+2q=300), what is the value of (q)?
#linear equations
#word problem
#price
#expert
#class 10
A \(q=\frac{180}{7}\)
B \(q=\frac{190}{7}\)
C \(q=\frac{200}{7}\)
D \(q=\frac{210}{7}\)
Explanation opens after your attempt
Correct Answer
C. \(q=\frac{200}{7}\)
Step 1
Concept
Elimination gives \(p=\frac{340}{7}\). Substituting it in either equation gives \(q=\frac{200}{7}\).
Step 2
Why this answer is correct
The correct answer is C. \(q=\frac{200}{7}\). Elimination gives \(p=\frac{340}{7}\). Substituting it in either equation gives \(q=\frac{200}{7}\).
Step 3
Exam Tip
विलोपन से \(p=\frac{340}{7}\) मिलता है। इसे किसी एक समीकरण में रखने पर \(q=\frac{200}{7}\)।
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संख्या रेखा पर \( \sqrt{300}-\sqrt{147} \) का सरल और सही मान कौन सा है?
What is the simplified correct value of \( \sqrt{300}-\sqrt{147} \) on the number line?
#number-line
#radical-difference
#simplification
A \(3\sqrt{3}\)
B \(7\sqrt{3}\)
C \( \sqrt{153} \)
D \(17\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(3\sqrt{3}\)
Step 1
Concept
\( \sqrt{300}=10\sqrt{3} \) and \( \sqrt{147}=7\sqrt{3} \), so the difference is \(3\sqrt{3}\). Simplify the radicals first.
Step 2
Why this answer is correct
The correct answer is A. \(3\sqrt{3}\). \( \sqrt{300}=10\sqrt{3} \) and \( \sqrt{147}=7\sqrt{3} \), so the difference is \(3\sqrt{3}\). Simplify the radicals first.
Step 3
Exam Tip
\( \sqrt{300}=10\sqrt{3} \) और \( \sqrt{147}=7\sqrt{3} \), इसलिए अंतर \(3\sqrt{3}\) है। पहले मूलों को सरल करें।
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\(\frac{\sqrt{300}+\sqrt{192}-\sqrt{108}}{\sqrt{3}}\) का मान क्या है?
What is the value of \(\frac{\sqrt{300}+\sqrt{192}-\sqrt{108}}{\sqrt{3}}\)?
#radicals
#simplification
#real_numbers
A (8)
B (10)
C (12)
D (14)
Explanation opens after your attempt
Step 1
Concept
Here \(\sqrt{300}=10\sqrt{3}\), \(\sqrt{192}=8\sqrt{3}\), and \(\sqrt{108}=6\sqrt{3}\). The numerator is \(12\sqrt{3}\), so the value is (12).
Step 2
Why this answer is correct
The correct answer is C. (12). Here \(\sqrt{300}=10\sqrt{3}\), \(\sqrt{192}=8\sqrt{3}\), and \(\sqrt{108}=6\sqrt{3}\). The numerator is \(12\sqrt{3}\), so the value is (12).
Step 3
Exam Tip
\(\sqrt{300}=10\sqrt{3}\), \(\sqrt{192}=8\sqrt{3}\), और \(\sqrt{108}=6\sqrt{3}\)। अंश \(12\sqrt{3}\) है, इसलिए मान (12) है।
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एक बस (300) किमी जाती है। यदि चाल (10) किमी प्रति घंटा कम होती तो (1) घंटा अधिक लगता। वास्तविक चाल क्या है?
A bus travels (300) km. If its speed were (10) km per hour less, it would take (1) hour more. What is the actual speed?
#quadratic equations
#bus
#speed time distance
A (50) किमी प्रति घंटा / (50) km per hour
B (60) किमी प्रति घंटा / (60) km per hour
C (70) किमी प्रति घंटा / (70) km per hour
D (80) किमी प्रति घंटा / (80) km per hour
Explanation opens after your attempt
Correct Answer
B. (60) किमी प्रति घंटा / (60) km per hour
Step 1
Concept
Let the speed be (x). Then \(\frac{300}{x-10}-\frac{300}{x}=1\). This gives \(x^2-10x-3000=0\), so (x=60).
Step 2
Why this answer is correct
The correct answer is B. (60) किमी प्रति घंटा / (60) km per hour. Let the speed be (x). Then \(\frac{300}{x-10}-\frac{300}{x}=1\). This gives \(x^2-10x-3000=0\), so (x=60).
Step 3
Exam Tip
चाल (x) हो तो \(\frac{300}{x-10}-\frac{300}{x}=1\)। इससे \(x^2-10x-3000=0\) और (x=60) मिलता है।
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एक आयताकार पेज का क्षेत्रफल (300,सेमी\(^2) है और लंबाई चौड़ाई से (5\),सेमी) अधिक है। चौड़ाई क्या है?
A rectangular page has area (300,cm\(^2) and its length is (5\),cm) more than its breadth. What is the breadth?
#quadratic equations
#page area
#application
A (10,सेमी) / (10,cm)
B (12,सेमी) / (12,cm)
C (15,सेमी) / (15,cm)
D (20,सेमी) / (20,cm)
Explanation opens after your attempt
Correct Answer
C. (15,सेमी) / (15,cm)
Step 1
Concept
If breadth is (x), then (x(x+5)=300). This gives (x=15).
Step 2
Why this answer is correct
The correct answer is C. (15,सेमी) / (15,cm\(). If breadth is (x), then (x(x+5)=300). This gives (x=15).\)
Step 3
Exam Tip
यदि चौड़ाई (x) है तो (x(x+5)=300)। इससे (x=15) मिलता है।
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एक ट्रेन (300 km) दूरी तय करती है। यदि उसकी चाल (10 km/h) अधिक होती, तो समय (1 h) कम लगता। ट्रेन की वास्तविक चाल क्या थी?
A train covers a distance of (300 km). If its speed were (10 km/h) more, it would take (1 h) less. What was the actual speed of the train?
#quadratic equations
#speed time distance
#word problems
A \((40\text{ km\) / h})
B \((50\text{ km\) / h})
C \((60\text{ km\) / h})
D \((75\text{ km\) / h})
Explanation opens after your attempt
Correct Answer
B. \((50\text{ km\) / h})
Step 1
Concept
Let the actual speed be (x km/h\(), then (\frac{300}{x}-\frac{300}{x+10}=1). This gives (x^2+10x-3000=0), so the positive root is (x=50).\)
Step 2
Why this answer is correct
The correct answer is B. (50 km / h). Let the actual speed be (x km/h\(), then (\frac{300}{x}-\frac{300}{x+10}=1). This gives (x^2+10x-3000=0), so the positive root is (x=50).\)
Step 3
Exam Tip
वास्तविक चाल (x km/h) मानें, तब \(\frac{300}{x}-\frac{300}{x+10}=1\)। \(इससे (x^2+10x-3000=0), इसलिए धनात्मक मूल (x=50) है\)।
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एक आयताकार बगीचे की लंबाई चौड़ाई से (5 m) अधिक है और क्षेत्रफल \(300 m^2\) है। बगीचे की चौड़ाई क्या होगी?
The length of a rectangular garden is (5 m) more than its breadth and its area is (300 m\(^2). What is the breadth of the garden\)?
#quadratic equations
#word problems
#area
A (15 m)
B (20 m)
C (25 m)
D (30 m)
Explanation opens after your attempt
Step 1
Concept
Let the breadth be (x m\(), so (x(x+5)=300), giving (x=15). In exams, reject the negative dimension.\)
Step 2
Why this answer is correct
The correct answer is A. (15 m). Let the breadth be (x m\(), so (x(x+5)=300), giving (x=15). In exams, reject the negative dimension.\)
Step 3
Exam Tip
मान लें चौड़ाई (x m) है, तब (x(x+5)=300), इसलिए (x=15)। परीक्षा में ऋणात्मक माप को अस्वीकार करें।
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एक व्यक्ति (300) किलोमीटर यात्रा करता है। गति (10) किलोमीटर प्रति घंटा कम करने पर समय (1) घंटा बढ़ जाता है। मूल गति क्या है?
A person travels (300) kilometres. If the speed is reduced by (10) kilometres per hour, the time increases by (1) hour. What is the original speed?
#quadratic-equations
#word-problems
#speed-change
A (60)
B (50)
C (40)
D (30)
Explanation opens after your attempt
Step 1
Concept
Let the original speed be (x), then \(\frac{300}{x-10}-\frac{300}{x}=1\). Solving gives (x=60).
Step 2
Why this answer is correct
The correct answer is A. (60). Let the original speed be (x), then \(\frac{300}{x-10}-\frac{300}{x}=1\). Solving gives (x=60).
Step 3
Exam Tip
मूल गति (x) हो, तो \(\frac{300}{x-10}-\frac{300}{x}=1\)। हल करने पर (x=60) मिलता है।
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एक आयताकार कमरे का क्षेत्रफल (300) है और लंबाई चौड़ाई से (10) अधिक है। कमरे की चौड़ाई क्या है?
A rectangular room has area (300) and length (10) more than breadth. What is the breadth of the room?
#quadratic-equations
#word-problems
#room-area
A (15)
B (20)
C (25)
D (10)
Explanation opens after your attempt
Step 1
Concept
If the breadth is (x), then (x(x+10)=300). This gives (x=15).
Step 2
Why this answer is correct
The correct answer is A. (15). If the breadth is (x), then (x(x+10)=300). This gives (x=15).
Step 3
Exam Tip
यदि चौड़ाई (x) है, तो (x(x+10)=300)। इससे (x=15) मिलता है।
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एक ट्रेन (300) किलोमीटर दूरी तय करती है। गति (10) किलोमीटर प्रति घंटा बढ़ाने पर समय (1) घंटा कम हो जाता है। मूल गति क्या है?
A train covers (300) kilometres. If its speed is increased by (10) kilometres per hour, the time decreases by (1) hour. What is the original speed?
#quadratic-equations
#word-problems
#speed-time
A (50)
B (60)
C (40)
D (30)
Explanation opens after your attempt
Step 1
Concept
Let the original speed be (x), then \(\frac{300}{x}-\frac{300}{x+10}=1\). This gives (x=50).
Step 2
Why this answer is correct
The correct answer is A. (50). Let the original speed be (x), then \(\frac{300}{x}-\frac{300}{x+10}=1\). This gives (x=50).
Step 3
Exam Tip
मूल गति (x) हो, तो \(\frac{300}{x}-\frac{300}{x+10}=1\)। इससे (x=50) मिलता है।
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एक आयताकार चित्र की लंबाई चौड़ाई से (13) सेमी अधिक है और क्षेत्रफल (300) वर्ग सेमी है। लंबाई क्या है?
A rectangular picture has length (13) cm more than its breadth and area (300) square cm. What is its length?
#quadratic equations
#rectangle
#picture
A (12) सेमी / (12) cm
B (20) सेमी / (20) cm
C (25) सेमी / (25) cm
D (30) सेमी / (30) cm
Explanation opens after your attempt
Correct Answer
C. (25) सेमी / (25) cm
Step 1
Concept
(x(x+13)=300) gives breadth (12) and length (25). Choose the answer according to the part asked.
Step 2
Why this answer is correct
The correct answer is C. (25) सेमी / (25) cm. (x(x+13)=300) gives breadth (12) and length (25). Choose the answer according to the part asked.
Step 3
Exam Tip
(x(x+13)=300) से चौड़ाई (12) और लंबाई (25) मिलती है। उत्तर पूछे गए भाग के अनुसार चुनें।
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कौन सा विकल्प \(\sqrt{300}\) का सरल रूप है?
Which option is the simplified form of \(\sqrt{300}\)?
#surds
#simplification
#square-root
A \(10\sqrt{3}\)
B \(30\sqrt{10}\)
C \(5\sqrt{12}\)
D \(3\sqrt{100}\)
Explanation opens after your attempt
Correct Answer
A. \(10\sqrt{3}\)
Step 1
Concept
\(\sqrt{300}=\sqrt{100\times3}=10\sqrt{3}\). Take out the greatest perfect square.
Step 2
Why this answer is correct
The correct answer is A. \(10\sqrt{3}\). \(\sqrt{300}=\sqrt{100\times3}=10\sqrt{3}\). Take out the greatest perfect square.
Step 3
Exam Tip
\(\sqrt{300}=\sqrt{100\times3}=10\sqrt{3}\) है। सबसे बड़ा पूर्ण वर्ग बाहर निकालें।
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\(\frac{75}{300}\) के लिए सही विकल्प चुनिए।
Choose the correct option for \(\frac{75}{300}\).
#common error
#reduced form
#terminating decimals
A समाप्त दशमलव क्योंकि यह \(\frac{1}{4}\) के बराबर है / Terminating decimal because it equals \(\frac{1}{4}\)
B असमाप्त आवर्ती क्योंकि (300) में (3) है / Non-terminating recurring because (300) has (3)
C अपरिमेय संख्या / Irrational number
D असमाप्त अनावर्ती / Non-terminating non-recurring
Explanation opens after your attempt
Correct Answer
A. समाप्त दशमलव क्योंकि यह \(\frac{1}{4}\) के बराबर है / Terminating decimal because it equals \(\frac{1}{4}\)
Step 1
Concept
\(\frac{75}{300}=\frac{1}{4}\).
Step 2
Why this answer is correct
The reduced denominator is \(4=2^2\), so the decimal terminates.
Step 3
Exam Tip
Apply the rule to the reduced denominator, not the original one. चरण 1: \(\frac{75}{300}=\frac{1}{4}\) है। चरण 2: सरलतम हर \(4=2^2\) है, इसलिए दशमलव समाप्त होगा। चरण 3: मूल हर के बजाय घटे हुए हर पर नियम लगाइए।
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यदि (120), (180) और (300) का महत्तम समापवर्तक निकाला जाए, तो उसमें (2) की घात क्या होगी?
If the HCF of (120), (180), and (300) is found, what will be the power of (2) in it?
#real-numbers
#hcf
#prime-power
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
Compare the powers of (2).
Step 2
Why this answer is correct
\(120=2^3\times3\times5\), \(180=2^2\times3^2\times5\), and \(300=2^2\times3\times5^2\), so the smallest power is (2).
Step 3
Exam Tip
HCF uses the smallest power. चरण 1: (2) की घातों की तुलना करें। चरण 2: \(120=2^3\times3\times5\), \(180=2^2\times3^2\times5\), \(300=2^2\times3\times5^2\), इसलिए सबसे छोटी घात (2) है। चरण 3: महत्तम समापवर्तक में छोटी घात आती है।
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\(\sqrt{75}+\sqrt{300}-\sqrt{48}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{75}+\sqrt{300}-\sqrt{48}\)?
#real-numbers
#radical-expression
#simplification
A \(9\sqrt{3}\)
B \(11\sqrt{3}\)
C \(7\sqrt{3}\)
D \(\sqrt{327}\)
Explanation opens after your attempt
Correct Answer
B. \(11\sqrt{3}\)
Step 1
Concept
\(\sqrt{75}=5\sqrt{3}\), \(\sqrt{300}=10\sqrt{3}\), and \(\sqrt{48}=4\sqrt{3}\).
Step 2
Why this answer is correct
\(5\sqrt{3}+10\sqrt{3}-4\sqrt{3}=11\sqrt{3}\).
Step 3
Exam Tip
Simplify all radicals before addition and subtraction. चरण 1: \(\sqrt{75}=5\sqrt{3}\), \(\sqrt{300}=10\sqrt{3}\), और \(\sqrt{48}=4\sqrt{3}\)। चरण 2: \(5\sqrt{3}+10\sqrt{3}-4\sqrt{3}=11\sqrt{3}\)। चरण 3: जोड़ और घटाव से पहले सभी वर्गमूलों को सरल करें।
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\(\sqrt{300}\) का सरल रूप क्या है?
What is the simplified form of \(\sqrt{300}\)?
#real-numbers
#sqrt300
#radical-simplification
A \(10\sqrt{3}\)
B \(3\sqrt{10}\)
C \(30\sqrt{10}\)
D \(100\sqrt{3}\)
Explanation opens after your attempt
Correct Answer
A. \(10\sqrt{3}\)
Step 1
Concept
Write \(300=100 \times 3\).
Step 2
Why this answer is correct
\(\sqrt{300}=\sqrt{100 \times 3}=10\sqrt{3}\).
Step 3
Exam Tip
When you see a perfect square like (100), take it outside as (10). चरण 1: \(300=100 \times 3\) लिखें। चरण 2: \(\sqrt{300}=\sqrt{100 \times 3}=10\sqrt{3}\)। चरण 3: (100) जैसा पूर्ण वर्ग दिखे तो उसे बाहर (10) के रूप में निकालें।
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यदि दो संख्याओं का गुणनफल (2700) और लघुत्तम समापवर्त्य (300) है, तो उनका महत्तम समापवर्तक क्या होगा?
If the product of two numbers is (2700) and their LCM is (300), what will be their HCF?
#real-numbers
#hcf
#hcf-lcm-relation
A (6)
B (9)
C (12)
D (15)
Explanation opens after your attempt
Step 1
Concept
For two numbers, product (=) HCF \(\times\) LCM.
Step 2
Why this answer is correct
HCF \(=\frac{2700}{300}=9\).
Step 3
Exam Tip
You can check the answer using \(9\times300=2700\). चरण 1: दो संख्याओं के लिए गुणनफल (=) महत्तम समापवर्तक \(\times\) लघुत्तम समापवर्त्य। चरण 2: महत्तम समापवर्तक \(=\frac{2700}{300}=9\)। चरण 3: उत्तर को \(9\times300=2700\) से जांच सकते हैं।
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एक छात्र \(x^2+2x+1\) की घात (3) बताता है क्योंकि इसमें (3) पद हैं। सही घात क्या है?
A student says the degree of \(x^2+2x+1\) is (3) because it has (3) terms. What is the correct degree?
#polynomials
#common-mistake
#degree
#easy
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.
Step 2
Why this answer is correct
The correct answer is B. (2). Degree is decided by the highest power (2), not by the number of terms. Avoid this common exam mistake.
Step 3
Exam Tip
घात पदों की संख्या से नहीं, सबसे बड़ी घात (2) से तय होती है। यह सामान्य गलती परीक्षा में न करें।
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एक विद्यार्थी पहले महीने (40) पेज पढ़ता है और हर अगले महीने (20) पेज अधिक पढ़ता है। किस महीने वह (300) पेज पढ़ेगा?
A student reads (40) pages in the first month and (20) pages more each next month. In which month will the student read (300) pages?
#ap
#word-problem
#reading
#target-month
A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
From (40+(n-1)20=300), (n=14). Exam tip: set the target amount equal to \(a_n\).
Step 2
Why this answer is correct
The correct answer is D. (14). From (40+(n-1)20=300), (n=14). Exam tip: set the target amount equal to \(a_n\).
Step 3
Exam Tip
(40+(n-1)20=300) से (n=14) मिलता है। परीक्षा में लक्ष्य मात्रा को \(a_n\) के बराबर रखें।
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एक वस्तु की कीमत (₹x) है। (₹5) कम कीमत पर खरीदी जाए तो (₹300) में (3) वस्तुएँ अधिक मिलती हैं। मूल कीमत क्या है?
The price of an article is (₹x). If it is bought at (₹5) less, (3) more articles can be bought for (₹300). What is the original price?
#quadratic equations
#price quantity
#shopping
A (₹20)
B (₹25)
C (₹30)
D (₹35)
Explanation opens after your attempt
Step 1
Concept
Let original price be (x), then \(\frac{300}{x-5}-\frac{300}{x}=3\). This gives \(x^2-5x-500=0\), so (x=25).
Step 2
Why this answer is correct
The correct answer is B. (₹25). Let original price be (x), then \(\frac{300}{x-5}-\frac{300}{x}=3\). This gives \(x^2-5x-500=0\), so (x=25).
Step 3
Exam Tip
मूल कीमत (x) हो, तो \(\frac{300}{x-5}-\frac{300}{x}=3\)। इससे \(x^2-5x-500=0\), इसलिए (x=25)।
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यदि (p(x)=(k-3)x-5 +2x-3 -x+9) की घात (3) है, तो (k) क्या है?
If (p(x)=(k-3)x-5 +2x-3 -x+9) has degree (3), what is (k)?
#degree
#parameter
#polynomial
A (3)
B (0)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
For degree (3), the coefficient of \(x^5\) must be (0). Thus (k-3=0) and (k=3).
Step 2
Why this answer is correct
The correct answer is A. (3). For degree (3), the coefficient of \(x^5\) must be (0). Thus (k-3=0) and (k=3).
Step 3
Exam Tip
घात (3) होने के लिए \(x^5\) का गुणांक (0) होना चाहिए। इसलिए (k-3=0) और (k=3)।
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यदि (p(x)=mx-5 +(m-4 )x-4 +3x-2 +1) की घात (4) है, तो (m) क्या है?
If the degree of (p(x)=mx-5 +(m-4 )x-4 +3x-2 +1) is (4), what is (m)?
#degree
#parameter
#conditions
A (0)
B (2)
C (4)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. For (m=0), (m-4 =-4).
Step 2
Why this answer is correct
The correct answer is A. (0). For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. For (m=0), (m-4 =-4).
Step 3
Exam Tip
घात (4) के लिए \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक अशून्य चाहिए। (m=0) पर (m-4 =-4) है।
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यदि (p(x)=ax-5 +bx-4 +cx-3 +d) में (a=0), \(b\ne0\) और \(c\ne0\), तो (p(x)) की घात क्या होगी?
If (a=0), \(b\ne0\), and \(c\ne0\) in (p(x)=ax-5 +bx-4 +cx-3 +d), what will be the degree of (p(x))?
#degree
#general polynomial
#conditions
A (3)
B (4)
C (5)
D निर्भर नहीं / Not dependent
Explanation opens after your attempt
Step 1
Concept
Since (a=0), the \(x^5\)-term vanishes, and since \(b\ne0\), the \(x^4\)-term remains. So the degree is (4).
Step 2
Why this answer is correct
The correct answer is B. (4). Since (a=0), the \(x^5\)-term vanishes, and since \(b\ne0\), the \(x^4\)-term remains. So the degree is (4).
Step 3
Exam Tip
(a=0) से \(x^5\) पद हट जाता है और \(b\ne0\) से \(x^4\) पद बचता है। इसलिए घात (4) है।
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(p(x)=6x-5 -4x-2 +1) और (q(x)=-6x-5 +3x-4 +x-9) के योग की घात क्या है?
What is the degree of the sum of (p(x)=6x-5 -4x-2 +1) and (q(x)=-6x-5 +3x-4 +x-9)?
#degree
#cancellation
#addition
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 2
Why this answer is correct
The correct answer is C. (4). The \(x^5\)-terms cancel and the highest remaining power is (4). Recheck the degree of the polynomial after addition.
Step 3
Exam Tip
\(x^5\) के पद कट जाते हैं और सबसे बड़ी बची घात (4) है। जोड़ के बाद बहुपद की घात फिर से जांचें।
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यदि (p(x)=(a-1)x-6 +(a+2)x-4 -5x+7) की घात (4) है, तो (a) क्या होगा?
If the degree of (p(x)=(a-1)x-6 +(a+2)x-4 -5x+7) is (4), what will (a) be?
#degree
#parameter
#polynomial
A (-2)
B (1)
C (2)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (4), the coefficient of \(x^6\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (a=1).
Step 2
Why this answer is correct
The correct answer is B. (1). For degree (4), the coefficient of \(x^6\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (a=1).
Step 3
Exam Tip
घात (4) के लिए \(x^6\) का गुणांक (0) और \(x^4\) का गुणांक अशून्य चाहिए। (a=1) पर दोनों शर्तें पूरी होती हैं।
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किस मान के लिए (p(x)=(m-2 )x-4 +3x-2 +x+1) की घात (2) से अधिक नहीं होगी?
For which value will (p(x)=(m-2 )x-4 +3x-2 +x+1) have degree not more than (2)?
#degree
#parameter
#polynomial
A (m=2)
B (m=0)
C (m=1)
D (m=-2)
Explanation opens after your attempt
Step 1
Concept
To make the degree not more than (2), the coefficient of \(x^4\) must be (0), so (m-2 =0). Degree reduces only when the highest term vanishes.
Step 2
Why this answer is correct
The correct answer is A. (m=2). To make the degree not more than (2), the coefficient of \(x^4\) must be (0), so (m-2 =0). Degree reduces only when the highest term vanishes.
Step 3
Exam Tip
घात (2) से अधिक न हो इसके लिए \(x^4\) का गुणांक (0) चाहिए, अतः (m-2 =0)। उच्चतम पद हटाकर ही घात घटती है।
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यदि (p(x)=x-4 -5x-2 +4) है, तो (p(x)) का घात कितना है?
If (p(x)=x-4 -5x-2 +4), what is the degree of (p(x))?
#degree
#polynomial
#one-variable
A (4)
B (2)
C (5)
D (0)
Explanation opens after your attempt
Step 1
Concept
The highest power is \(x^4\), so the degree is (4). Terms with zero coefficients do not affect the degree.
Step 2
Why this answer is correct
The correct answer is A. (4). The highest power is \(x^4\), so the degree is (4). Terms with zero coefficients do not affect the degree.
Step 3
Exam Tip
सबसे बड़ी घात \(x^4\) है, इसलिए घात (4) है। शून्य गुणांक वाले पदों को घात तय करने में नहीं गिनते।
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यदि (p(x)=mx-4 +(m+2)x-3 +5x+1) की घात (3) है, तो (m) क्या है?
If the degree of (p(x)=mx-4 +(m+2)x-3 +5x+1) is (3), what is (m)?
#degree
#parameter
#conditions
A (-2)
B (0)
C (2)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (3), the coefficient of \(x^4\) must be (0) and the coefficient of \(x^3\) must be non-zero. For (m=0), (m+2=2).
Step 2
Why this answer is correct
The correct answer is B. (0). For degree (3), the coefficient of \(x^4\) must be (0) and the coefficient of \(x^3\) must be non-zero. For (m=0), (m+2=2).
Step 3
Exam Tip
घात (3) के लिए \(x^4\) का गुणांक (0) चाहिए और \(x^3\) का गुणांक अशून्य चाहिए। (m=0) पर (m+2=2) है।
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यदि (p(x)=ax-4 +bx-3 +cx-2 +d) में (a=0), (b=0) और \(c\ne0\), तो (p(x)) की घात क्या होगी?
If (a=0), (b=0), and \(c\ne0\) in (p(x)=ax-4 +bx-3 +cx-2 +d), what will be the degree of (p(x))?
#degree
#general polynomial
#conditions
A (0)
B (1)
C (2)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)- and \(x^3\)-terms vanish, but \(c\ne0\) keeps the \(x^2\)-term. So the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). The \(x^4\)- and \(x^3\)-terms vanish, but \(c\ne0\) keeps the \(x^2\)-term. So the degree is (2).
Step 3
Exam Tip
\(x^4\) और \(x^3\) के पद हट जाते हैं, लेकिन \(c\ne0\) से \(x^2\) पद बचता है। इसलिए घात (2) है।
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(p(x)=5x-4 -2x-2 +1) और (q(x)=-5x-4 +3x-3 +x-6) के योग की घात क्या है?
What is the degree of the sum of (p(x)=5x-4 -2x-2 +1) and (q(x)=-5x-4 +3x-3 +x-6)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात दोबारा जांचना जरूरी है।
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यदि (p(x)=(m+2)x-5 +(m-3 )x-4 +6x-1) की घात (4) है, तो (m) क्या होगा?
If the degree of (p(x)=(m+2)x-5 +(m-3 )x-4 +6x-1) is (4), what is (m)?
#degree
#parameter
#polynomial
A (-2)
B (2)
C (3)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (m=-2).
Step 2
Why this answer is correct
The correct answer is A. (-2). For degree (4), the coefficient of \(x^5\) must be (0) and the coefficient of \(x^4\) must be non-zero. Both conditions hold for (m=-2).
Step 3
Exam Tip
घात (4) के लिए \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक अशून्य चाहिए। (m=-2) पर दोनों शर्तें पूरी होती हैं।
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किस बहुपद की घात (4) है?
Which polynomial has degree (4)?
#polynomials
#degree
#zero_coefficient
#hard
A \(7x^4+0x^5-3x+1\)
B \(0x^6+5x^3-2\)
C \(x^2+x+1\)
D (9)
Explanation opens after your attempt
Correct Answer
A. \(7x^4+0x^5-3x+1\)
Step 1
Concept
The term \(0x^5\) does not affect degree because its coefficient is (0). The highest non-zero power is (4).
Step 2
Why this answer is correct
The correct answer is A. \(7x^4+0x^5-3x+1\). The term \(0x^5\) does not affect degree because its coefficient is (0). The highest non-zero power is (4).
Step 3
Exam Tip
\(0x^5\) पद घात नहीं बढ़ाता क्योंकि उसका गुणांक (0) है। सबसे बड़ा शून्येतर घात (4) है।
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यदि (p(x)=mx-3 +(m-1 )x-2 +2x+1) की घात (2) है, तो (m) क्या है?
If the degree of (p(x)=mx-3 +(m-1 )x-2 +2x+1) is (2), what is (m)?
#degree
#parameter
#conditions
A (0)
B (1)
C (2)
D कोई मान नहीं / No value
Explanation opens after your attempt
Step 1
Concept
For degree (2), the coefficient of \(x^3\) must be (0) and the coefficient of \(x^2\) must be non-zero. Both conditions hold when (m=0).
Step 2
Why this answer is correct
The correct answer is A. (0). For degree (2), the coefficient of \(x^3\) must be (0) and the coefficient of \(x^2\) must be non-zero. Both conditions hold when (m=0).
Step 3
Exam Tip
घात (2) के लिए \(x^3\) का गुणांक (0) चाहिए और \(x^2\) का गुणांक अशून्य चाहिए। (m=0) पर ये दोनों शर्तें पूरी होती हैं।
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यदि (p(x)=ax-3 +bx-2 +cx+d) में (a=0) और \(b\ne0\), तो (p(x)) की घात क्या होगी?
If (a=0) and \(b\ne0\) in (p(x)=ax-3 +bx-2 +cx+d), what will be the degree of (p(x))?
#degree
#general polynomial
#conditions
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
Since (a=0), the \(x^3\)-term vanishes, and since \(b\ne0\), the \(x^2\)-term remains. So the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). Since (a=0), the \(x^3\)-term vanishes, and since \(b\ne0\), the \(x^2\)-term remains. So the degree is (2).
Step 3
Exam Tip
(a=0) होने से \(x^3\) पद हट जाता है और \(b\ne0\) होने से \(x^2\) पद बचता है। इसलिए घात (2) है।
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(p(x)=4x-4 -3x-2 +2) और (q(x)=-4x-4 +5x-3 +x-8) के योग की घात क्या है?
What is the degree of the sum of (p(x)=4x-4 -3x-2 +2) and (q(x)=-4x-4 +5x-3 +x-8)?
#degree
#cancellation
#addition
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 2
Why this answer is correct
The correct answer is C. (3). The \(x^4\)-terms cancel and the highest remaining power is (3). Recheck the degree after addition.
Step 3
Exam Tip
\(x^4\) के पद कट जाते हैं और सबसे बड़ी बची घात (3) है। जोड़ के बाद घात फिर से जांचें।
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यदि (p(x)=(a-5)x-5 +2x-3 -7x+4) की घात (3) है, तो (a) क्या होगा?
If the degree of (p(x)=(a-5)x-5 +2x-3 -7x+4) is (3), what is (a)?
#degree
#parameter
#polynomial
A (0)
B (3)
C (5)
D (7)
Explanation opens after your attempt
Step 1
Concept
For the degree to be (3), the coefficient of \(x^5\) must be (0), so (a-5=0). First make the highest-degree term vanish.
Step 2
Why this answer is correct
The correct answer is C. (5). For the degree to be (3), the coefficient of \(x^5\) must be (0), so (a-5=0). First make the highest-degree term vanish.
Step 3
Exam Tip
घात (3) होने के लिए \(x^5\) का गुणांक (0) होना चाहिए, इसलिए (a-5=0)। उच्चतम घात वाले पद को पहले शून्य करें।
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यदि (p(x)=(k-4)x-4 +3x-2 -5x+2) की घात (2) है, तो (k) का मान क्या होगा?
If the degree of (p(x)=(k-4)x-4 +3x-2 -5x+2) is (2), what will be the value of (k)?
#degree
#parameter
#polynomial
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
For the degree to be (2), the coefficient of \(x^4\) must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.
Step 2
Why this answer is correct
The correct answer is C. (4). For the degree to be (2), the coefficient of \(x^4\) must be (0), so (k-4=0) and (k=4). Check the coefficient of the highest power first.
Step 3
Exam Tip
घात (2) होने के लिए \(x^4\) का गुणांक (0) होना चाहिए, इसलिए (k-4=0) और (k=4)। सबसे बड़ी घात वाले पद का गुणांक पहले जांचें।
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किसी रैखिक बहुपद (mx+n) में \(m\ne0\) हो तो उसकी घात क्या है?
If \(m\ne0\) in a linear polynomial (mx+n), what is its degree?
#linear polynomial
#degree
#general form
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
When \(m\ne0\), the term (mx) exists and the highest power is (1). So the degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). When \(m\ne0\), the term (mx) exists and the highest power is (1). So the degree is (1).
Step 3
Exam Tip
\(m\ne0\) होने पर (mx) पद मौजूद रहता है और सबसे बड़ी घात (1) होती है। इसलिए घात (1) है।
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(p(x)=0x-5 +7x-3 -2x+1) की घात क्या है?
What is the degree of (p(x)=0x-5 +7x-3 -2x+1)?
#degree
#zero coefficient
#polynomial
A (1)
B (3)
C (5)
D (7)
Explanation opens after your attempt
Step 1
Concept
The coefficient of \(0x^5\) is (0), so that term is not counted. The highest effective power is (3).
Step 2
Why this answer is correct
The correct answer is B. (3). The coefficient of \(0x^5\) is (0), so that term is not counted. The highest effective power is (3).
Step 3
Exam Tip
\(0x^5\) का गुणांक (0) है इसलिए वह पद नहीं गिना जाएगा। सबसे बड़ी प्रभावी घात (3) है।
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अशून्य अचर बहुपद (p(x)=-18) की घात क्या है?
What is the degree of the non-zero constant polynomial (p(x)=-18)?
#constant polynomial
#degree
#definition
A (0)
B (1)
C (18)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). A constant number is linked with degree (0).
Step 3
Exam Tip
अशून्य अचर बहुपद की घात (0) होती है। अचर संख्या का अर्थ घात (0) से जुड़ा है।
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बहुपद (p(x)=11x-6 -4x-3 +x-9) की घात क्या है?
What is the degree of the polynomial (p(x)=11x-6 -4x-3 +x-9)?
#degree
#highest power
#polynomial
A (1)
B (3)
C (6)
D (11)
Explanation opens after your attempt
Step 1
Concept
The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.
Step 2
Why this answer is correct
The correct answer is C. (6). The highest power is (6), so the degree is (6). Look at the highest power of the variable, not the coefficient.
Step 3
Exam Tip
सबसे बड़ी घात (6) है इसलिए घात (6) होगी। गुणांक नहीं बल्कि चर की सबसे ऊंची घात देखें।
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कौन सा विकल्प \(2x^3-5x^2+x-4\) की घात और नियत पद को सही बताता है?
Which option correctly gives the degree and constant term of \(2x^3-5x^2+x-4\)?
#degree
#constant-term
#cubic-polynomial
A घात (3), नियत पद (-4) / Degree (3), constant term (-4)
B घात (2), नियत पद (1) / Degree (2), constant term (1)
C घात (1), नियत पद (-5) / Degree (1), constant term (-5)
D घात (4), नियत पद (2) / Degree (4), constant term (2)
Explanation opens after your attempt
Correct Answer
A. घात (3), नियत पद (-4) / Degree (3), constant term (-4)
Step 1
Concept
The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).
Step 2
Why this answer is correct
The correct answer is A. घात (3), नियत पद (-4) / Degree (3), constant term (-4). The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).
Step 3
Exam Tip
सबसे बड़ी घात (3) है और बिना (x) वाला पद (-4) है। इसलिए सही जोड़ी घात (3), नियत पद (-4) है।
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\(x^2+1\), \(x^3+x\), (5x-2) में सबसे कम घात वाला बहुपद कौन सा है?
Among \(x^2+1\), \(x^3+x\), and (5x-2), which polynomial has the least degree?
#compare-degree
#linear-polynomial
#classification
A \(x^2+1\)
B \(x^3+x\)
C (5x-2)
D तीनों की घात समान है / All three have the same degree
Explanation opens after your attempt
Step 1
Concept
Their degrees are (2), (3), and (1) respectively. The least degree is (1).
Step 2
Why this answer is correct
The correct answer is C. (5x-2). Their degrees are (2), (3), and (1) respectively. The least degree is (1).
Step 3
Exam Tip
इनकी घातें क्रमशः (2), (3) और (1) हैं। सबसे कम घात (1) है।
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यदि किसी गैर-शून्य नियत बहुपद की घात पूछी जाए, तो सही उत्तर क्या होगा?
If the degree of a non-zero constant polynomial is asked, what will be the correct answer?
#constant-polynomial
#degree
#concept
A (0)
B (1)
C परिभाषित नहीं / Not defined
D बहुपद नहीं / Not a polynomial
Explanation opens after your attempt
Step 1
Concept
The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). The degree of a non-zero constant polynomial is (0). Keep it separate from the zero polynomial.
Step 3
Exam Tip
गैर-शून्य नियत बहुपद की घात (0) होती है। इसे शून्य बहुपद से अलग रखें।
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किस मान के लिए (p(x)=(a-2)x-3 +4x-2 +1) की घात (2) हो जाएगी?
For which value will (p(x)=(a-2)x-3 +4x-2 +1) have degree (2)?
#degree
#parameter
#highest-power
A (a=0)
B (a=1)
C (a=2)
D (a=4)
Explanation opens after your attempt
Step 1
Concept
For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).
Step 2
Why this answer is correct
The correct answer is C. (a=2). For degree (2), the coefficient of \(x^3\) must be (0). From (a-2=0), we get (a=2).
Step 3
Exam Tip
घात (2) के लिए \(x^3\) का गुणांक (0) होना चाहिए। (a-2=0) से (a=2) मिलता है।
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यदि (p(x)=ax-2 +3x+5) की घात (1) है, तो (a) का मान क्या होगा?
If (p(x)=ax-2 +3x+5) has degree (1), what will be the value of (a)?
#polynomials
#degree
#parameter
A (0)
B (1)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
For degree (1), the coefficient of \(x^2\) must be (0). Therefore (a=0).
Step 2
Why this answer is correct
The correct answer is A. (0). For degree (1), the coefficient of \(x^2\) must be (0). Therefore (a=0).
Step 3
Exam Tip
घात (1) होने के लिए \(x^2\) का गुणांक (0) होना चाहिए। इसलिए (a=0) है।
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यदि (p(x)=(m-2 )x-3 +4x-2 -7) की घात (2) है, तो (m) का मान क्या होगा?
If the degree of (p(x)=(m-2 )x-3 +4x-2 -7) is (2), what will be the value of (m)?
#degree
#parameter
#polynomial
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
For the degree to be (2), the coefficient of \(x^3\) must be (0), so (m-2 =0) and (m=2). In exams, check the coefficient of the highest power first.
Step 2
Why this answer is correct
The correct answer is B. (2). For the degree to be (2), the coefficient of \(x^3\) must be (0), so (m-2 =0) and (m=2). In exams, check the coefficient of the highest power first.
Step 3
Exam Tip
घात (2) होने के लिए \(x^3\) का गुणांक (0) होना चाहिए, इसलिए (m-2 =0) और (m=2)। परीक्षा में सबसे ऊंची घात के गुणांक को पहले देखें।
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निम्न में से कौन सा (x) में बहुपद है जिसकी घात (4) है?
Which of the following is a polynomial in (x) with degree (4)?
#degree
#highest-power
#polynomial
A \(x^4-2x+7\)
B \(x^3+4\)
C \(5x^2-1\)
D (9x+6)
Explanation opens after your attempt
Correct Answer
A. \(x^4-2x+7\)
Step 1
Concept
In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.
Step 2
Why this answer is correct
The correct answer is A. \(x^4-2x+7\). In \(x^4-2x+7\), the highest power is (4). To identify degree, check the greatest power.
Step 3
Exam Tip
\(x^4-2x+7\) में सबसे बड़ी घात (4) है। घात पहचानने के लिए सबसे बड़ी शक्ति देखें।
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किसी रैखिक बहुपद (ax+b) में \(a\ne0\) हो तो उसकी घात क्या है?
If \(a\ne0\) in a linear polynomial (ax+b), what is its degree?
#linear polynomial
#degree
#general form
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
When \(a\ne0\) in (ax+b), the highest power of (x) is (1). So the degree is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). When \(a\ne0\) in (ax+b), the highest power of (x) is (1). So the degree is (1).
Step 3
Exam Tip
(ax+b) में \(a\ne0\) होने पर (x) की सबसे बड़ी घात (1) है। इसलिए घात (1) होगी।
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\(3x^4+0x^3-2x+5\) की घात क्या है?
What is the degree of \(3x^4+0x^3-2x+5\)?
#degree
#zero coefficient
#polynomial
A (1)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
The term \(0x^3\) is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.
Step 2
Why this answer is correct
The correct answer is C. (4). The term \(0x^3\) is ineffective, and the highest non-zero power is (4). Ignore terms with zero coefficient.
Step 3
Exam Tip
\(0x^3\) पद प्रभावी नहीं है और सबसे बड़ी अशून्य घात (4) है। शून्य गुणांक वाले पद को नजरअंदाज करें।
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अशून्य अचर बहुपद (p(x)=12) की घात क्या होती है?
What is the degree of the non-zero constant polynomial (p(x)=12)?
#constant polynomial
#degree
#definition
A (0)
B (1)
C (12)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). Keep it separate from the zero polynomial.
Step 3
Exam Tip
अशून्य अचर बहुपद की घात (0) होती है। शून्य बहुपद से इसे अलग रखें।
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बहुपद (p(x)=4x-5 -3x-2 +9) की घात क्या है?
What is the degree of the polynomial (p(x)=4x-5 -3x-2 +9)?
#degree
#polynomial
#powers
A (2)
B (3)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5), so the degree is (5). Always check the highest exponent.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5), so the degree is (5). Always check the highest exponent.
Step 3
Exam Tip
सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। हमेशा सबसे ऊंची घात देखें।
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\(x^5+1\) की घात क्या है?
What is the degree of \(x^5+1\)?
#degree
#highest-power
A (1)
B (2)
C (5)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5), so the degree is (5). The constant term does not increase the degree.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5), so the degree is (5). The constant term does not increase the degree.
Step 3
Exam Tip
सबसे बड़ी घात (5) है इसलिए बहुपद की घात (5) है। नियत पद घात को नहीं बढ़ाता।
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निम्न में से किस बहुपद की घात (2) है?
Which polynomial has degree (2)?
#degree-two
#quadratic
A \(x^2+4x\)
B \(x^4+1\)
C (6x+5)
D (3)
Explanation opens after your attempt
Correct Answer
A. \(x^2+4x\)
Step 1
Concept
The highest power in \(x^2+4x\) is (2). Therefore its degree is (2).
Step 2
Why this answer is correct
The correct answer is A. \(x^2+4x\). The highest power in \(x^2+4x\) is (2). Therefore its degree is (2).
Step 3
Exam Tip
\(x^2+4x\) में सबसे बड़ी घात (2) है। इसलिए इसकी घात (2) है।
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निम्न में से किस बहुपद की घात (1) है?
Which polynomial has degree (1)?
#degree-one
#linear
A \(4x^2+1\)
B (9x-3)
C \(x^3+2\)
D (11)
Explanation opens after your attempt
Step 1
Concept
In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).
Step 2
Why this answer is correct
The correct answer is B. (9x-3). In (9x-3), the highest power of (x) is (1). So it is a polynomial of degree (1).
Step 3
Exam Tip
(9x-3) में (x) की सबसे बड़ी घात (1) है। इसलिए यह घात (1) का बहुपद है।
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शून्य बहुपद (0) की घात के बारे में सही कथन कौन सा है?
Which statement about the degree of the zero polynomial (0) is correct?
#zero-polynomial
#degree
A घात (0) है / Degree is (0)
B घात (1) है / Degree is (1)
C घात परिभाषित नहीं है / Degree is not defined
D घात (2) है / Degree is (2)
Explanation opens after your attempt
Correct Answer
C. घात परिभाषित नहीं है / Degree is not defined
Step 1
Concept
The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.
Step 2
Why this answer is correct
The correct answer is C. घात परिभाषित नहीं है / Degree is not defined. The degree of the zero polynomial is not defined. Remember it separately from a non-zero constant polynomial.
Step 3
Exam Tip
शून्य बहुपद की घात परिभाषित नहीं होती। इसे गैर-शून्य नियत बहुपद से अलग याद रखें।
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\(6x^4-2x^2+x-8\) की घात क्या है?
What is the degree of \(6x^4-2x^2+x-8\)?
#degree
#highest-power
A (1)
B (2)
C (4)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (4). The highest power is (4), so the degree is (4). The degree depends on the highest power, not on the number of terms.
Step 3
Exam Tip
सबसे बड़ी घात (4) है इसलिए घात (4) है। पदों की संख्या नहीं, सबसे बड़ी घात महत्वपूर्ण है।
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बहुपद \(7x^3-4x+9\) की घात क्या है?
What is the degree of the polynomial \(7x^3-4x+9\)?
#degree
#polynomials
#class10
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree is (3). Always check the highest power of the variable.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3), so the degree is (3). Always check the highest power of the variable.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। हमेशा चर की सबसे बड़ी घात देखें।
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यदि किसी बहुपद की घात (3) है, तो उसे क्या कहते हैं?
If a polynomial has degree (3), what is it called?
#polynomials
#cubic
#easy
#degree
A घन बहुपद / Cubic polynomial
B द्विघात बहुपद / Quadratic polynomial
C रैखिक बहुपद / Linear polynomial
D नियत बहुपद / Constant polynomial
Explanation opens after your attempt
Correct Answer
A. घन बहुपद / Cubic polynomial
Step 1
Concept
A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.
Step 2
Why this answer is correct
The correct answer is A. घन बहुपद / Cubic polynomial. A degree (3) polynomial is called a cubic polynomial. The highest power decides the name.
Step 3
Exam Tip
घात (3) वाला बहुपद घन बहुपद कहलाता है। सबसे बड़ी घात ही नाम तय करती है।
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यदि किसी बहुपद की घात (2) है, तो उसे क्या कहते हैं?
If a polynomial has degree (2), what is it called?
#polynomials
#quadratic
#easy
#degree
A रैखिक बहुपद / Linear polynomial
B द्विघात बहुपद / Quadratic polynomial
C घन बहुपद / Cubic polynomial
D शून्य बहुपद / Zero polynomial
Explanation opens after your attempt
Correct Answer
B. द्विघात बहुपद / Quadratic polynomial
Step 1
Concept
A degree (2) polynomial is called quadratic. A non-zero \(x^2\)-term must be present.
Step 2
Why this answer is correct
The correct answer is B. द्विघात बहुपद / Quadratic polynomial. A degree (2) polynomial is called quadratic. A non-zero \(x^2\)-term must be present.
Step 3
Exam Tip
घात (2) वाला बहुपद द्विघात कहलाता है। \(x^2\) का अशून्य पद होना जरूरी है।
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यदि किसी बहुपद की घात (1) है, तो उसे क्या कहते हैं?
If a polynomial has degree (1), what is it called?
#polynomials
#degree
#type
#easy
A नियत बहुपद / Constant polynomial
B रैखिक बहुपद / Linear polynomial
C द्विघात बहुपद / Quadratic polynomial
D घन बहुपद / Cubic polynomial
Explanation opens after your attempt
Correct Answer
B. रैखिक बहुपद / Linear polynomial
Step 1
Concept
A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.
Step 2
Why this answer is correct
The correct answer is B. रैखिक बहुपद / Linear polynomial. A polynomial of degree (1) is called a linear polynomial. Link the name with the degree.
Step 3
Exam Tip
घात (1) वाले बहुपद को रैखिक बहुपद कहते हैं। नाम हमेशा घात से जोड़कर याद करें।
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(p(x)=ax+b) में यदि \(a\ne0\) है, तो इसकी घात क्या होती है?
In (p(x)=ax+b), if \(a\ne0\), what is its degree?
#polynomials
#linear-form
#easy
#degree
A (0)
B (1)
C (2)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
When \(a\ne0\), the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.
Step 2
Why this answer is correct
The correct answer is B. (1). When \(a\ne0\), the (x)-term exists, so the degree is (1). This is the form of a linear polynomial.
Step 3
Exam Tip
\(a\ne0\) होने पर (x) वाला पद मौजूद है, इसलिए घात (1) है। यही रैखिक बहुपद का रूप है।
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बहुपद \(11x^5-3x^2+8\) की घात क्या है?
What is the degree of \(11x^5-3x^2+8\)?
#polynomials
#degree
#easy
#highest-power
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Step 1
Concept
The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.
Step 2
Why this answer is correct
The correct answer is C. (5). The highest power is (5), so the degree is (5). Look at the greatest power, not the number of terms.
Step 3
Exam Tip
सबसे बड़ी घात (5) है इसलिए घात (5) होगी। पदों की संख्या नहीं बल्कि सबसे बड़ी घात देखें।
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बहुपद (5) की घात क्या है?
What is the degree of the polynomial (5)?
#polynomials
#constant-polynomial
#easy
#degree
A (0)
B (1)
C (5)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). Remember \(5=5x^0\) may be considered.
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). Remember \(5=5x^0\) may be considered.
Step 3
Exam Tip
अशून्य नियत बहुपद की घात (0) होती है। याद रखें \(5=5x^0\) माना जा सकता है।
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बहुपद \(7x^3-2x+9\) की घात क्या है?
What is the degree of the polynomial \(7x^3-2x+9\)?
#polynomials
#degree
#easy
#level48
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree is (3). In exams identify the greatest exponent.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3), so the degree is (3). In exams identify the greatest exponent.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) होगी। परीक्षा में सबसे बड़े घातांक को पहचानें।
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यदि (p(x)=ax+b) और \(a\neq0\), तो (p(x)) की घात क्या है?
If (p(x)=ax+b) and \(a\neq0\), what is the degree of (p(x))?
#linear_form
#degree
#polynomials
A (0)
B (1)
C (2)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).
Step 2
Why this answer is correct
The correct answer is B. (1). Since \(a\neq0\), the (x)-term is present. Therefore the degree of the polynomial is (1).
Step 3
Exam Tip
\(a\neq0\) होने से (x) वाला पद मौजूद है। इसलिए बहुपद की घात (1) है।
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बहुपद \(4x^3-2x^3+x+5\) को सरल करने पर घात क्या होगी?
After simplifying \(4x^3-2x^3+x+5\), what is its degree?
#like_terms
#degree
#simplification
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). Combining like terms gives \(2x^3+x+5\). The highest power is (3).
Step 3
Exam Tip
समान पद मिलाकर \(2x^3+x+5\) मिलता है। सबसे बड़ी घात (3) है।
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बहुपद \(3x^3+0x^2-2x+5\) की घात क्या है?
What is the degree of \(3x^3+0x^2-2x+5\)?
#degree
#zero_coefficient
#polynomials
A (1)
B (2)
C (3)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest non-zero power term is \(3x^3\). So the degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). The highest non-zero power term is \(3x^3\). So the degree is (3).
Step 3
Exam Tip
सबसे बड़ी शून्य से भिन्न घात वाला पद \(3x^3\) है। इसलिए घात (3) है।
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शून्य बहुपद (p(x)=0) की घात के बारे में सही कथन कौन-सा है?
Which statement is correct about the degree of the zero polynomial (p(x)=0)?
#zero_polynomial
#degree
#concept
A घात (0) है / Degree is (0)
B घात (1) है / Degree is (1)
C घात परिभाषित नहीं है / Degree is undefined
D घात (2) है / Degree is (2)
Explanation opens after your attempt
Correct Answer
C. घात परिभाषित नहीं है / Degree is undefined
Step 1
Concept
The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.
Step 2
Why this answer is correct
The correct answer is C. घात परिभाषित नहीं है / Degree is undefined. The degree of the zero polynomial is undefined. In exams, keep it separate from a non-zero constant polynomial.
Step 3
Exam Tip
शून्य बहुपद की घात परिभाषित नहीं होती। परीक्षा में इसे स्थिर शून्य से भिन्न बहुपद से अलग रखें।
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स्थिर बहुपद (p(x)=9) की घात क्या है?
What is the degree of the constant polynomial (p(x)=9)?
#constant_polynomial
#degree
#basics
A (0)
B (1)
C (9)
D परिभाषित नहीं / Undefined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). The number (9) may be written as \(9x^0\).
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). The number (9) may be written as \(9x^0\).
Step 3
Exam Tip
शून्य से भिन्न स्थिर बहुपद की घात (0) होती है। (9) को \(9x^0\) माना जा सकता है।
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बहुपद (p(x)=4x-3 -2x+9) की घात क्या है?
What is the degree of the polynomial (p(x)=4x-3 -2x+9)?
#degree
#polynomials
#one_variable
A (3)
B (2)
C (1)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 2
Why this answer is correct
The correct answer is A. (3). The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें।
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समीकरण \(x^2+1=0\) की घात क्या है?
What is the degree of \(x^2+1=0\)?
#quadratic-equations
#degree
#constant-term
A (1)
B (2)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) is (2). The constant term does not change the degree.
Step 2
Why this answer is correct
The correct answer is B. (2). The highest power of (x) is (2). The constant term does not change the degree.
Step 3
Exam Tip
इसमें (x) की सबसे बड़ी घात (2) है। स्थिर पद घात को नहीं बदलता।
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समीकरण \(7x^2-4x+9=0\) की घात क्या है?
What is the degree of the equation \(7x^2-4x+9=0\)?
#quadratic-equations
#degree
#easy
A (1)
B (2)
C (3)
D (0)
Explanation opens after your attempt
Step 1
Concept
The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.
Step 2
Why this answer is correct
The correct answer is B. (2). The highest power of (x) in this equation is (2). Degree is decided by the greatest power of the variable.
Step 3
Exam Tip
इस समीकरण में (x) की सबसे बड़ी घात (2) है। घात हमेशा चर की सबसे बड़ी शक्ति से तय होती है।
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\(6x^2-5x+2=0\) की घात क्या है?
What is the degree of \(6x^2-5x+2=0\)?
#quadratic equations
#degree
#identification
A (0)
B (1)
C (2)
D (6)
Explanation opens after your attempt
Step 1
Concept
The highest power is (2). Therefore it is a quadratic equation.
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power is (2). Therefore it is a quadratic equation.
Step 3
Exam Tip
सबसे बड़ी घात (2) है। इसलिए यह द्विघात समीकरण है।
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\(5x^2+2x-1=0\) की घात क्या है?
What is the degree of \(5x^2+2x-1=0\)?
#quadratic equations
#degree
#identification
A (0)
B (1)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
The highest power is (2). Therefore the equation is quadratic.
Step 2
Why this answer is correct
The correct answer is C. (2). The highest power is (2). Therefore the equation is quadratic.
Step 3
Exam Tip
सबसे बड़ी घात (2) है। इसलिए समीकरण द्विघात है।
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