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InterviewSolution
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.
| 43551. |
What is the Thales theorem |
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Answer» ??? Thank you Thales theorem where corresponding angle are equal and corresponding side is proprotnal |
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| 43552. |
How to get perfect marks in Mathematics? |
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Answer» By revising it again and again. By hard work & practice |
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| 43553. |
2+2 is |
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Answer» 4......LOL? ? 10⁶ |
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| 43554. |
Solve 2x-3y+13=0, 3x-2y+12=0 |
| Answer» Firstly Prepare the proper table of at least two solutions for both the equations..Draw the graph of both the equations from table 1 & from table 2 on the same graph paper with same scale of representation.Then find the coordinates of the point of intersection of the graphs.Here , the two lines intersect at points P (-2,3)Hence, x= -2 & y= 3Thus, we have the following table giving points on the line 3y-2y+12 =0Hence, x =-2 ,y=3\xa0is the solution of the given system of equations. | |
| 43555. |
3x+y-12=0 ,x-3y+6=0 by graphical method |
| Answer» | |
| 43556. |
X+y=7,2x-3y=11 by substitute method |
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Answer» Thanks (1) Given Equation is x + y = 7 x = 7 - y --------- (1)(2) 2x - 3y = 11 2(7 - y) - 3y = 11 14 - 2y - 3y = 11 14 - 5y = 11 -5y = 11 - 14 -5y = -3 y =\xa0Substitute y =\xa0\xa0in (1), we getx = 7 -\xa0 =\xa0 =\xa0Therefore the value of x =\xa0, y =\xa0 |
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| 43557. |
3sin square 60 degree + sec square 30 degree + 2 sin90 degree + 3 cos 0 degree -tan square 60 degree |
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| 43558. |
If An=5n-2 then find S4 |
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Answer» First find A1Next find A4Now, we have A=A1, L=A4 and N=4By putting these values in formula of Sn=n/2 (a+l) we will get S4= 42 S4=42 |
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| 43559. |
In the given figure, if PQRS is a parallelogram and AB || PS, then prove that OC || SR. |
| Answer» To prove - OC║SRProof - In ΔOPS and ΔOAB∠POS = ∠AOB (common in both)∠OSP = ∠OBA (corresponding angles are equal as PS║AB)=> ΔOPS ~ ΔOAB [AA criteria]=> PS/AB = OS/OB ........................(1) (sides in similar triangles are proportional)In ΔCAB and ΔCRQAs, QR║AB=> ∠QCR = ∠ACB (common)=> ∠CBA = ∠CRQ (corresponding angles are equal)=> ΔCAB ~ ΔCQR [AA criteria]=> CR/CB = QR/AB (sides in similar triangles are proportional)Also, PS = QR [ PQRS is parallelogram]=> CR/CB = PS/AB ......................(2)From (1) and (2)=> OS/OB = CR/CB=> OB/OS = CB/CRSubtracting 1 from both sidesSo, OB/OS - 1 = CB/CR - 1=> (OB - OS)/OS = (CB - CR)/CR=> BS/OS = BR/CRBy converse of Thales Theorem=> OC║SR . Hence proved . | |
| 43560. |
Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers? |
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Answer» That is why both no. Are composite Numbers are of two types - prime and composite.Prime numbers can be divided by 1 and only itself, whereas composite numbers have factors other than 1 and itself.It can be observed that=\xa0=\xa0=\xa0The given expression has 6 and 13 as its factors other than 1 and number itself.Therefore, it is a composite number.=\xa0=\xa0=\xa01009 cannot be factorized furtherTherefore, the given expression has 5 and 1009 as its factors other than 1 and number itself.Hence, it is a composite number. ,xdhh |
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| 43561. |
(cosec A -secA )(cot A-Tan A)=(cosec A+secA )(SecA cosecA -2 ) |
| Answer» LHS:-(cosecA-secA)( cotA-tanA) => (1/sinA-1/cosA)(cosA/sinA-sinA/cosA)=> (cosA-sinA/sinAcosA)(Cos^2A-sin^2A/sinAcosA)=> (cosA-sinA)(cosA+sinA)(cosA-sinA) /(sinAcosA)^2=> (cosA-sinA)^2(cosA+sinA)/(sinAcosA)^2=> (cos^2A+sin^2A-2cosAsinA)(cosA+sinA)/(sinAcosA)^2=> (1-2cosAsinA)/(cosAsinA) (cosA+sinA)/(cosAsinA)(since cos^2A+sin^2A=1)=> (1/cosAsinA-2cosAsinA/cosAsinA)(cosA/cosAsinA+sinA/cosAsinA)=> (secAcosecA-2)(cosecA+secA)Hence, LHS=RHS | |
| 43562. |
Proove thales formula |
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Answer» \xa0Basic Proportionality Theorem (Thales theorem):\xa0If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.\xa0\tIn ∆ABC , if DE || BC and intersects AB in D and AC in E then AD AE ---- = ------ DB EC\tProof on Thales theorem :If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.Given :\xa0In ∆ABC , DE || BC and intersects AB in D and AC in E.Prove that :\xa0AD / DB = AE / ECConstruction :\xa0Join BC,CD and draw EF ┴ BA and DG ┴ CA.\xa0\xa0\t |
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| 43563. |
If tanA=4/5 then find the Value of cosA-sinA/cosA+sinA |
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Answer» Tan A =4/5=B/CCosA _ SinA /CosA+SinA=4_5/root 41/4+5/root411/9 1/9 |
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| 43564. |
Cosec thetha - sin thetha) ( sec thetha- cos thetha) |
| Answer» cosA×sinA | |
| 43565. |
480/x-8 -480/x = 3 write in the form of Quadratic equation. |
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| 43566. |
How many terms of the AP : 9, 17, 25, must be taken to give a sum of 636? |
| Answer» Let the number of terms required to make the sum of 636 be n and common difference be d.Given Arithmetic Progression : 9 , 17 , 25 ....First term = a = 9Second term = a + d = 17Common difference = d = a + d - a = 17 - 9 = 8From the indentities of arithmetic progressions, we know : -, where\xa0\xa0is the sum of first term to nth term of the AP, a is the first term, d is the common difference and n is the number of terms of AP.In the given Question, sum of APs is 636.Therefore,= > 4n² + 5n - 636 = 0= > 4n² + ( 53 - 48 )n - 636 = 0= > 4n² + 53n - 48n - 636 = 0= > 4n² - 48n + 53n - 636 = 0= > 4n( n - 12 ) + 53( n - 12 ) = 0= > ( n - 12 )( 4n + 53 ) = 0By Zero Product Rule,= > n - 12 = 0= > n = 12Hence,Number of terms of the AP [ 9 , 17 , 25 ] which are required to make the sum of 636 is 12.\xa0 | |
| 43567. |
How many three digit number divisible by 7? |
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Answer» here a= 105l= 994n=?d= 7so994 = 105+(n-1) 7= 105+7n-7994= 98+7n994-98 = 7n896/7 = nn= 128so 128 three digit numbers are divisible by 7 Given,A(first term)=105,An(last term)=994,d( common difference)=7,n=?An=A+(n-1)d995=105+(n-1)7887=(n-1)7n-1=127n=127+1=128Hence, there are total 128 three digit no. divisible by 7. |
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| 43568. |
(sin A + cosec A)2 + (cos A + sec A )2 = 7 tan2 A +cot2 A |
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| 43569. |
Obtain all other zeroes 3x⁴ + 6x⁴ - 2x² -10x - 5, if two of its zeroes are √5/3 and -√5/3. |
| Answer» (X-1) ,(x-1),-1,-1 | |
| 43570. |
How is H3O is formed? |
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Answer» H2O+H^ion=H3O H2O+H^+ ion =H3O |
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| 43571. |
2√7= |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? | |
| 43572. |
Determine whether the given quadratic equation have real roots so find root xsquare+x+2=0 |
| Answer» No real roots | |
| 43573. |
Ncert lesson 1 example no. 5. |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? | |
| 43574. |
Find mean & mode, medium |
| Answer» Your answer : Mode-The most repetitive number! -\xa0Median:The number in the MIDDLE when they are IN ORDER! -\xa0Mean- The\xa0AVERAGE\xa0OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! | |
| 43575. |
The least no. That is divisible by all the no. from 1 to 5(both inclusive) is |
| Answer» I think 120 | |
| 43576. |
The 5 term and 15 term of an ap is 13 and - 17 |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? | |
| 43577. |
How many two digit number are divisible by 6 ? |
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Answer» 15 an=a+(n-1) d96=6+(n-1) 696=6+6n-696=6nn=96/6=16 1 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90 & 96. HOPE IT HELPS YOU? 15(FIFTEEN). HOPE IT HELPS YOU?✌ |
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| 43578. |
[3^(x+2)]+[3^(-x)]=10 |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? | |
| 43579. |
For any positive real number \'a\' ,prove that there exists an irrational number b such that 0 |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? | |
| 43580. |
Prove that.cot A-cos A/cot A+cos A=cosecA-1/cosecA+1 |
| Answer» LHS CotA-cosA/cotA+cosADivide numerator and denominator by cosA=(cotA/cosA-cosA/cosA)/(cotA/cosA+cosA/cosA)=(cosA/sinA•1/cosA-1)/(cosA/sinA•1/cosA+1)(1/sinA-1)/(1/sinA+1)=(cosecA-1)/(cosecA+1)(since 1/sinA=cosecA)=RHS | |
| 43581. |
Find the area of circle whose cicumferrence is 22cm. |
| Answer» Circumference of circle = 22 cmLet the radius of the given circle be \'r\'Circumference of a circle = 2πr⇒ 22 = 2\xa0× 22/7\xa0× r⇒ r = (22\xa0× 7)/(22 × 2)⇒ r = 154/44⇒ r = 3.5 cmArea of circle =\xa0πr²⇒ 22/7\xa0× 3.5 × 3.5⇒ 269.5/7= 38.5 cm²So, the area of the given circle is 38.5 cm² | |
| 43582. |
The sum and product of the zeroes of the polynomial 9xpower2-5 respectively are: |
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Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? Sum = 5/9,Product = 0 Ask someone else I don\'t know |
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| 43583. |
Factorise x^2-270x -1800000 |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? | |
| 43584. |
If sec theta is equal to 5.4 so that 2 cos theta minus sin theta upon cos theta minus 10 theta |
| Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? | |
| 43585. |
978764 |
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Answer» Bahi aaj to ye message send kar diya ha nest time mat karana Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? ???? 978 764 = 978 764. HOPE IT HELPS YOU?✌? 978 764 is equal to |
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| 43586. |
767/777 |
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Answer» Join Betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? 0.987129987 0.999 |
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| 43587. |
BBB |
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Answer» Better Business Bureau What is your question?? ?????????? |
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| 43588. |
Hcf of 34 56 |
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Answer» Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? 2 2 2 2 |
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| 43589. |
A dice is thrown once . The probability of getting a prime number is? |
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Answer» Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? The probability of getting a prime number=1/2. HOPE IT HELPS YOU?✌ Possible outcomes when a die is thrown = {1,2,3,4,5,6}Number of possible outcomes once = 6(i) Let E be the event of getting a prime number.Prime numbers on the die are = {2,3,5}Number of favourable outcomes = 3•p(E)=favourable outcomes /total outcomes =3/6=1/2 1/2 |
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| 43590. |
If u wants to study with us firstly give ur no. in this answer box |
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Answer» Wat?¿? #Ritik Kumar??? 6202983023 9304208420 Cheater 9087654321 |
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| 43591. |
cos2A - 3 cos A + 2 / sin 2 A = 1 |
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Answer» A=60° Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? |
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| 43592. |
What is main difference between rational and irrational |
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Answer» Rational not have root . Irrational have roots Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? \tS.NoRational NumbersIrrational Numbers1Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number.Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.2Rational Number includes numbers, which are finite or are recurring in nature.These consist of numbers, which are non-terminating and non-repeating in nature.3Rational Numbers includes perfect squares such as 4, 9, 16, 25, and so onIrrational Numbers includes surds such as √2, √3, √5, √7 and so on.4Both the numerator and denominator are whole numbers, in which the denominator is not equal to zero.Irrational numbers cannot be written in fractional form.5Example: 3/2 = 1.5, 3.6767Example:\xa0√5, √11\t |
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| 43593. |
2x-3y+10 |
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Answer» Bye Kaya hai Algebra hai Solution karna hai Kaya karna hai |
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| 43594. |
Where can I find the deleted content of maths of class 10 |
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Answer» Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? In my cbse guide |
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| 43595. |
If an AP if a=4,n=7,d=4then nth term will be |
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Answer» An+(n-1) dAn=4+(7-1) 4An=4+6×4An=4+24An=28 an= 28 Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? An = 28 by an = a + (n - 1)× d |
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| 43596. |
Surface areas formulas |
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Answer» Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? Surface area of a cuboid =2(lb+bh+hl) sq. unitSurface area of a cube = 6s2 sq. unit |
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| 43597. |
Find the value of (26+15√3)^2/3 -(26+15√3)^-2/3 |
| Answer» Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? | |
| 43598. |
Real life application for section formula |
| Answer» | |
| 43599. |
Real life application of section formula |
| Answer» Join betternation.xyz This is a site where u can have a lot of friends and fun ? ? ? | |
| 43600. |
Find the LCM and HCF of 12, 15 and 21 by the prime factorization method. |
| Answer» Given : 12, 15 , 21 Prime factor of 12 : 2*2*3Prime factor of 15 : 3*5Prime factor of 21 : 3*7HCF of 12, 15 ,21 : 3LCM of 12 , 15 , 21 : 420 | |