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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 8301. |
Use euclid division |
| Answer» Euclid\'s division lemma | |
| 8302. |
Important question in coordinate geometry |
| Answer» https://www.learncbse.in/important-questions-for-class-10-maths-chapter-7/ ...............USE THIS | |
| 8303. |
What is the difference between sacent and chord in a circle? Don\'t use internet! |
| Answer» Secant is a line that drawn touching two points of circle Chord is the line drawn connecting two points on circle | |
| 8304. |
The surface areas of two spheres are in the ratio 1:2 then ratio of their volume is _ |
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Answer» 1:2√2 The answer is 1:2√2 Let be the surface area of 1st sphere and 2nd sphere are 1x and 2x respectively.Then,According to the area of sphere we have,4πr²=1x. ...(i)And,Similarly,4πR²=2x ....(ii)From (i) and (ii) equation,(r/R)²=1/2Hence, R=√2r ....(iii)Now the volume of 1st sphere is 4/3πr³ ....(iv)And,Volume of 2nd sphere is 4/3π(R)³ .....(v)Now put the value of R from (iii) in (v) such that,4/3π(√2r)³=4/3π2√2³= 8√2/3πr³ ....(vi)Now from iv and vi we conclude the ratio of the volumes of given spheres,=1:2√2 |
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| 8305. |
What was a whole number |
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Answer» Those numbers which start from 0 to infinity are known as whole numbers.Example - 0,1,2,3..............infinity. The numbers that start from 0 and reached ti infinity are known as whole numbers. |
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| 8306. |
Volume of sphere ? |
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Answer» 4/3πr^3 4/3 × 22/7 × r^3 4/3×π×r^3 4/3 × 22/7 × r^3 27/7 |
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| 8307. |
RSPL papers set 1 set 2 set 3 paper answers of DS1 |
| Answer» | |
| 8308. |
Write 23.426 (bar on 426) in the form p/q |
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Answer» x=23.426... eq.11000x=23426.426 1000x=23403+23.426 1000x=23403+x 1000x-x=23403 999x=23403 x=23403/999...eq.2 Putting value of x in eq.2 23.426=23403/999 x=23.426.....(i)1000x=23426.4261000x=23403+23.4261000x=23403+x1000x-x=23403999x=23403x=23403/999......(ii)Putting value of x in (ii)So,23.426=23403/999 Bai ba voice Let x = 23.426 (bar on 426) ..... (i) Then, 10x = 234.2666.... ..... (ii) 1000x = 23426.6666.... ...... (iii) Subtracting iii from ii1000x - 10x = 23426.6666 - 234.2666990x = 23192.4x = 231924 / 9900 = 19327/825Hope it will be right !! |
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| 8309. |
If a and B the zeroes of the quadratic polynomial f(x) = ax? + bx + c, then evaluate:(i)a-B |
| Answer» α-β = √(α-β)^2 - 4αβ. | |
| 8310. |
Prove that sin A−cosA+1sinA+cosA−1 =1secA−tanA |
| Answer» | |
| 8311. |
Solve the Following:-3⁵÷3² |
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Answer» 27 3⁵-²=> 3³=27 T 5-2=3 |
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| 8312. |
If 6x=sec theta and 6/x = tan theta , find the value of 9(x^2-1/x^2) |
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Answer» 9(x^2-1/x^2)=1 5 theta |
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| 8313. |
2sin²30 cot30 – 3cos²60 sec²30. |
| Answer» √3/2 | |
| 8314. |
Divide the polynomial p(x) by g(x) and verify the answerP(x)= x⁴ - 5x + 6G(x)= -x² + 2 |
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Answer» Answer is-x²+2 Q(x)=-x square+2R(x)=-5x+2Verification=P(x)=g(x)*q(x)+r(x)P(x)=(-x square+2)(-x square+2)+(-5x+2)P(x)=(-x square+2)sq.-5x+2=X^4+4-5x+2=X^4-5x+6 |
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| 8315. |
The coordinate of d is |
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Answer» -3, 0 Ask full question and write half ? |
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| 8316. |
Write one rational and one irrational no.lying between 0.25 and 0.32 |
| Answer» ? | |
| 8317. |
to divide a line segment PQ in the ratio 4 is to |
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Answer» Yes Pls give complete question |
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| 8318. |
if cosec A - sin A = m cube, secA -cosA = bcube |
| Answer» | |
| 8319. |
For what value of k the equation 9x²+6kx+4=0 has equal roots? |
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Answer» K=2 K=2 B^2-4ac=0(6k)^2-4(9)(4)=036k^2-144=036k^2=144K^2=144/36K^2=4K=+/_2 K=2 , for the value k = 2 it has equal root. |
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| 8320. |
Sin30°/+tan45°-cosec60°/sec30°+cos60°+cot45° |
| Answer» Can u pls write ur ques again . | |
| 8321. |
Check whether - 150 is a term of ap 11,8,5,2,.... |
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Answer» N=40 a=11d=8-11= -3an=-150n=?an=a+(n-1)d-150=11+(n-1)(-3)-150/-3=11+n-150=11+n-150-11=n-139+1=nn=40 |
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| 8322. |
What is the probability for a leap year have 53 Saturday and 53 Sunday. |
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Answer» In a leap year only 2 days are extra , so these 2 days could be Monday, TuesdayTuesday, WednesdayWednesday, ThursdayThursday, FridayFriday , SaturdaySaturday, SundaySunday , MondayOut of these, there is only 1 favourable outcome i.e. Saturday , SundaySo probability =1/7 2/7 2/7 2 by 7 |
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| 8323. |
(1-cos²A) cosec²A = 1 |
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Answer» Taking L.H.S (1 - cos^2 ) cosec^2= ( sin^2 ) cosec^2= sin^2 × 1/ sin^2= 1 Sin square ×1/sin square Sin square ×1/sin square teta |
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| 8324. |
Prove that 5-root3 is irrational |
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Answer» If possible root 5 is rational no.5=p/q( where q not equal 0 ,, p/q having no factors other than 1)Squaring both sides5=P2/q2P2=5q2....1P2 is divisible by5 P is also divisible by 5Putting p=5 in 1(5m)2=5q225m2=5q25m2 =q2q2 is divisible by 5q is also divisible by 55 is common factors of p and qThis is contradictionSo,our assumption is wrong Root 5 is irrational no. Let us assume the given number be rational and we will write the given number in p/q form⇒5− 3\u200b = qp\u200b ⇒ 3\u200b = q5q−p\u200b We observe that LHS is irrational and RHS is rational, which is not possible. This is contradiction. Hence our assumption that given number is rational is false ⇒5− 3\u200b is irrational I know anwer but can\'t type sorry soory |
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| 8325. |
RS AGARWAL |
| Answer» What is the question | |
| 8326. |
What is the value of sin30*? |
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Answer» 1/2 Sin30°=1/2 1/2 sin30°=1/2 1/2 |
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| 8327. |
Wtf |
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Answer» Yt? Hiii |
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| 8328. |
Basic proportanili ty theorum |
| Answer» If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio | |
| 8329. |
Prove that cos threta - sin threta + 1Opon Cos threta + sin threta - 1=cosec threta + cot threta |
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Answer» Hello Ish mai photo kich ka question bheja nhi ja sakta ?? Are yrr pic walla method kyo nhi diya hai? Kitta koi likhega Hi |
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| 8330. |
Frnds plzzz Send all formulas of surface area and volume ? |
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Answer» Google kar l9 Right✔?➡ Ananya Curved surface area of cylinder= 2πrhTotal surface area of a cylinder= 2πr(r+h) Kyu book ni hai kya us main se dekhlo T.S.A of a cube = 6a square |
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| 8331. |
If cosec theta+cot theta=p then prove that cos theta=p^2-1/P^+1 ? |
| Answer» What is these question\'s answer | |
| 8332. |
If sec theta=x+1/4x,then find the value of sec theta +tan theta |
| Answer» Please ask question with complete information. | |
| 8333. |
Find LCM AND H.C.F AND VERIFY LCM * HCF PRODUCT OF INTEGER |
| Answer» | |
| 8334. |
X+Y=53x+y= 11 Solve for x and y |
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Answer» X=3. Y=2 X=3 Y=2 3X+Y=11- X-Y=5= 2X=6So X=6/2=3Put value of x and the value of Y will be 2 ..... This is done by elimination method You can do it by elimination method Let X+Y=5 be 1st eqn.And 3X+Y=11 be 2nd eqn.Subtract eqn. 2 from 1This became 2X=6X=3Put value of X in eqn.1Y=2 |
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| 8335. |
WHAT IS THE FORMULA FOR SIN THETA |
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Answer» Sin A = p/h Sin theta = perpendicular/ hypotenuse or p/h Sin thetha=opp/hyp Sin theta=opposite/hypotenuse p\\h |
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| 8336. |
Find the lcm of 5005 |
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Answer» 5*7*11*13 5*7*11*13 |
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| 8337. |
Find the point on the x-axis which is equidistant from the point A(-2,3) B(5,4) |
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Answer» Danish Ali you answer is right Noo A (-2,3) B (5,4) so, = root (-2-5)square + (3-4)square root 49+1=root ka 50 ans I am confuse for this answer 3 line equation Correct option isA(2,0)AC=BC\xa0(Equidistance)AC2=BC2(x−5)2+(0−4)2=(x+2)2+(0−3)2x2−10x+25+16=x2+4+4x+9−14x+41−13=0−14x+28=0=14x=−28x=28/14x=2\u200b |
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| 8338. |
In triangle abc right anled at b ab=24 cm bc=7cm determine |
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Answer» 25cm is correct answer Ac = 25 cm We can find it by Pythagoras theorem. |
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| 8339. |
Friends ✔ chapter 2 = polynomial Mein cubic polynomial Hai yah deleted hai???? |
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Answer» Ni hua hai delete maths main sab padhna hai bhai Isme se 1 number ka fas sakta he bhai toh thoda bhut padke jaaye ok dear ? Ha bhai delete hai?? Delete ho geya h yrr? Yes it is |
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| 8340. |
Which of the following has high atomic radius and why? Na, Li , Rb , Cs . |
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Answer» CS Cs will have highest Atomic radius because while going down in a group number of shells increases due to which atomic radius also increases |
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| 8341. |
Can anyone say what step to follow to get centum in maths |
| Answer» For standard question paper | |
| 8342. |
How many terms of the AP: 9, 17, 25, ... must be taken to give a sum of 636? |
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Answer» 12 Term be 12 , -53/4 .. 12 S=n/2(2a+(n-1) d) 636n=n/2(2*9+(n-1) 8) 318n=n(18+8n-8) 318n=n(10+8n) 318n=10n+8n^2318n-10n=8n^2 |
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| 8343. |
Which term of the AP 3, 15, 27, 39,...... will be 132 more than its 54th term? |
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Answer» 65 Answer is 65term 65th term Ans b= 65 a=3d=15-3=12Let the term of the ap be añañ=a54+132a+(n-1)d=a+53d+132Putting the values3+(n-1)12=3+53*12+1323+12n-12=3+636+13212n-9=3+76812n-9=77112n=771+912n=780n=780/12n=65 |
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| 8344. |
What is value of sin45° |
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Answer» 1/root2 √2/2 1/root2 1/root2 1/root2 |
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| 8345. |
What is Real Number ? |
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Answer» Real no.is a value that represents on a number line. Denoted by symbol\'R\'. Real no. Include all number such as····· natural no.»1️⃣,2️⃣,3️⃣,4️⃣,5️⃣,6️⃣............Whole no.»0️⃣,1️⃣,2️⃣,3️⃣...........Rational no.»p/q wher q✖️equal to 0️⃣Irrational no.»+ve–1️⃣,2️⃣,3️⃣,4️⃣.........-ve– -1️⃣,-2️⃣,-3️⃣,-4️⃣......Or all types of no. Family of rational and irrational is known as real no. In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion). The adjective real in this context was introduced in the 17th century by René Descartes, who distinguished between real and imaginary roots of polynomials. The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2 (1.41421356..., the square root of 2, an irrational algebraic number). Included within the irrationals are the real transcendental numbers, such as π (3.14159265...).[1] In addition to measuring distance, real numbers can be used to measure quantities such as time, mass, energy, velocity, and many more. The set of real numbers is denoted using the symbol R or {\\displaystyle \\mathbb {R} }\\mathbb {R} [2][3] and is sometimes called "the reals".[4]A symbol for the set of real numbersReal numbers can be thought of as points on an infinitely long line called the number line or real line, where the points corresponding to integers are equally spaced. Any real number can be determined by a possibly infinite decimal representation, such as that of 8.632, where each consecutive digit is measured in units one-tenth the size of the previous one. The real line can be thought of as a part of the complex plane, and the real numbers can be thought of as a part of the complex numbers.Real numbers can be thought of as points on an infinitely long number lineThese descriptions of the real numbers are not sufficiently rigorous by the modern standards of pure mathematics. The discovery of a suitably rigorous definition of the real numbers—indeed, the realization that a better definition was needed—was one of the most important developments of 19th-century mathematics. The current standard axiomatic definition is that real numbers form the unique Dedekind-complete ordered field ({\\displaystyle \\mathbb {R} }\\mathbb {R} ; + ; · ; <), up to an isomorphism,[a] whereas popular constructive definitions of real numbers include declaring them as equivalence classes of Cauchy sequences (of rational numbers), Dedekind cuts, or infinite decimal representations, together with precise interpretations for the arithmetic operations and the order relation. All these definitions satisfy the axiomatic definition and are thus equivalent.The set of all real numbers is uncountable, in the sense that while both the set of all natural numbers and the set of all real numbers are infinite sets, there can be no one-to-one function from the real numbers to the natural numbers. In fact, the cardinality of the set of all real numbers, denoted by {\\displaystyle {\\mathfrak {c}}}{\\mathfrak {c}} and called the cardinality of the continuum,[2] is strictly greater than the cardinality of the set of all natural numbers (denoted {\\displaystyle \\aleph _{0}}\\aleph _{0}, \'aleph-naught\'[2]).The statement that there is no subset of the reals with cardinality strictly greater than {\\displaystyle \\aleph _{0}}\\aleph _{0} and strictly smaller than {\\displaystyle {\\mathfrak {c}}}{\\mathfrak {c}} is known as the continuum hypothesis (CH). It is known to be neither provable nor refutable using the axioms of Zermelo–Fraenkel set theory including the axiom of choice (ZFC)—the standard foundation of modern mathematics. In fact, some models of ZFC satisfy CH, while others violate it. Real Numbers DefinitionReal numbers can be defined as the union of both the rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. All the natural numbers, decimals and fractions come under this category. |
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| 8346. |
Find the largest number which divide 129 and545 leaving remainder 3 and 5. |
| Answer» 18 | |
| 8347. |
Prove that √3+√4 is a irrational number |
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Answer» Lets assume that :√3 + √4 is rational.√3 + √4 = r , where r is rationalSquaring both sides , we get[√3 + √4 ]² = r²3 + 2√12 + 4 = r²7 + 2√12 = r²2√12 = r² - 6√12 = [ r² - 6] / 2R.H.S is purely rational , whereas , L.H.S is irrational.This is a contradiction.This means that our assumption was wrong.Hence , √3 + √4 is irrational. rProve root3 + root4 is an irrational no.Mathematics\xa01 AnswersRamkishore PingleGrade 10Lets assume that :√3 + √4 is rational.√3 + √4 = r , where r is rationalSquaring both sides , we get[√3 + √4 ]² = r²3 + 2√12 + 4 = r²7 + 2√12 = r²2√12 = r² - 6√12 = [ r² - 6] / 2R.H.S is purely rational , whereas , L.H.S is irrational.This is a contradiction.This means that our assumption was wrong.Hence , √3 + √4 is irrational |
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| 8348. |
What was the square root of 11992 |
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Answer» 109.50 10950799/100000 109.50799 |
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| 8349. |
How to f solve some application of trigonometry in 1 day |
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Answer» Go to youtube and search for shobhi nirwan trigonometry .........they twach us all subject........they are too good With the help of google |
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| 8350. |
The pair of equation X+y=1 and X+y=-5 has |
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Answer» X+y=1X+y-1=0...... Eq.1X+y=-5X+y+5=0.........Eq.2From eq.1 and eq.2 we have:a1=X b1=y. c1=-1a1=X. b1=y. c2=5a1/a2 =X/X =1b1/b2=y/y=1c1/c2=-1/5Therefore the following equation has no solution as a1/a2=b1/b2but not equal to c1/c2 Well find value of x by solving eq 1 and than use substitution method and put the value of x into eq 2 x+y=-5 than u get the value of y after that put the value of y into the eq 3 x=1-y u get value of x No solution X+y=1 |
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