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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your Class 11 knowledge and support exam preparation. Choose a topic below to get started.
| 451. |
Prove that : 1 + ??? + ???? − ????? = 0 |
| Answer» Multiply both sides by zero 0=0 → LHS= RHS ,, , . hence proved<br>1+1+1-3=0 | |
| 452. |
Express complex number ( 1 − ? )? in the form a + i b. |
| Answer» The question is not clear\xa0Assuming the question to be: Express the given complex number in the form a + ib: (1 – i)4A n s w e rcomplex\xa0number in the form a + ib: | |
| 453. |
Deleted topic in math |
| Answer» DELETED PORTION MATHEMATICS - 041 CLASS XI UNIT/ CHAPTER SYLLABUS REDUCED Unit- I: Sets and Functions 1.Sets Difference of sets. Complement of a set. Properties of Complement 2.Relations & Functions (up to RXRXR ). Sum, Difference, product and quotients of functions 3. Trigonometric Functions General Solutions of trigonometric equations of the type siny=sina, cosy=cosa and tany= tana. Unit II: Algebra1.Principle of Mathematical Induction Delete full chapter 2.Complex Numbers and Quadratic Equations Polar representation of complex numbers. Square root of a complex number. 3.Linear Inequalities Nil4. Permutations and Combinations Derivationof formulae for nPrandnCr5.Binomial theorem Delete full Chapter 6. Sequence and Series Formulae for the following special sums∑ ?,∑k2,∑ ?3. Unit III: Coordinate geometry 1.Straight Lines Shifting of origin. Equation of family of lines passing through the point of intersection of two lines.2 Conic sections a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section.3.Introduction to Three-dimensional Geometry Nil Unit-IV : Calculus 1.Limits and Derivatives Nil Unit-V : Mathematical Reasoning 1.Mathematical Reasoning Delete full chapter Unit-VI: Statistics and Probability 1. Statistics Analysis of frequency distributions with equal means but different variances. 2. Probability Axiomatic (set theoretic) probability, connections with other theories of earlier classes | |
| 454. |
Find the domain and range of function defindly by f (x) = - (x) |
| Answer» Domain=all real numbers Range=all non positive real numbers | |
| 455. |
Find three numbers in G.P. whose sum is 28 and whose product is 512. |
| Answer» Let the three numbers be\xa0a,ar,\xa0ar2,where\xa0r\xa0is the common ratio.⇒a+ar+ar2=28\xa0and\xa0a3r3=512⇒ar=8⇒a+ar2=20⇒8r2−20r+8=0⇒r=2,r=21\u200bIf\xa0r=2,a=4Therefore, the three numbers are\xa04,8,16<br>The three numbers in GP are 4 , 8 , 16.\tLet the three numbers in GP be a/r , a , ar.\tNow the product of three numbers is given as 512.a/r × a × ar = 512a³ = 512a = 8\tNow sum of the three numbers is given as 28.a/r + a + ar = 288/r + 8 + 8r = 288 + 8r² = 20r8r² - 20r + 8 =08r² - 16r - 4r + 8 =08r(r-2) - 4(r-2) = 0(r-2)(8r-4) = 0\tTherefore, r = 2 or r=1/2\tNow , the three numbers are 4,8,16. | |
| 456. |
Find next number in sequence 2,6,12,20......? |
| Answer» 30 is the next number<br>30 is the next number. It is of the order +4,+6,+8,+10,+12,...<br>30,42,56,72 because 6-2=4,12-6=6,20- 12=8 it mean increasing 2 so 30,42,56,72 is next sequence | |
| 457. |
Solve permutations 5p3= np4 |
| Answer» 5!/(5-3)!= n!/(n-4)!5!/2!=n×(n-1)(n-2)(n-3)(n-4)!/(n-4)!5×4×3×2!/2!= n(n-1)(n-2)(n-3) {(n-4) and 2! Is cut with same digit)}60 = n(n-1)(n-2)(n-3) ise solve karo answer aa jayga | |
| 458. |
Find the value of tan pi by 8 |
| Answer» Example 27 chapter 3 math | |
| 459. |
i. ???1050°ii. ?????(−120°) iii. ???(11?3) 2. The value of √3 ?????20° − ???20°_____ |
| Answer» i. ???1050°=sin(-30)ii. ?????(−120°) =Cosec 240iii. ???( 11?/3 ) =tan(-60)<br>i. ???1050°=sin(-30)ii. ?????(−120°) =Cosec 240iii. ???( 11?/3 ) =tan(-60) | |
| 460. |
Deleted portion of ch 1 sets |
| Answer» 3 chapter delete 2020 -21 academy year<br>1. Difference of sets. Complement of a set.2. Properties of Complement | |
| 461. |
Find sum 5/2+7/4+5/8+7/16+5/32+7/64___________infinity. |
| Answer» | |
| 462. |
What is asimptot |
| Answer» An\xa0asymptote\xa0is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity.<br>Biology | |
| 463. |
The ratio of the AM and GM of two positive numbers a and b is m:n,find the ratio of the numbers |
| Answer» The ratio of the A.M and G.M. of two positive numbers a and b, is m: n. Show thata:b=(m+\xa0√(m2-n2)):(m-√(m2-n2))AnswerUsing this in the identity (a – b)2\xa0= (a + b)2\xa0– 4ab, we obtainAdding (1) and (2), we obtain | |
| 464. |
Solve an equation x square +x -2=0 |
| Answer» X^2+x-2 .X^2+2x-x-2 .X(x+2)-1(x+2) .(X+2)(x-1) .X=-2 or 1 | |
| 465. |
Solve the following system of inequalities graphically:2x-y>1,x-2 |
| Answer» | |
| 466. |
Find the radian measures corresponding to the following degree measures;(1) -47°30\' |
| Answer» 180degree=π radian-47degree30\'= -47 1/2degree-95/2*π/180radian-19π/72 radian | |
| 467. |
An almirah is sold at rupees 5225 after allowing a discount of 5%. Find its marked price. |
| Answer» $$(100-5) x = 522500$$$$x=5500$$<br>SP = Rs 5225Let MP be xdiscount = 5% of x =(5/100)x = 0.05xSP = MP - discount⇒5225 = x - 0.05x⇒0.95x = 5225⇒x = 5225/0.95 = 5500∴MP = Rs 5500 | |
| 468. |
what is differentiation of 6sin |
| Answer» $$6cosx$$<br>$$6sinx$$<br>$$6sinx$$<br>6cos | |
| 469. |
Cos2a/1_sin2a=tan(45°+a) |
| Answer» | |
| 470. |
11 p r = 12 p r-1Find rPermutation |
| Answer» Sorry , last one was wrong , $$r=9 & 16$$ by solving eq. $$ r^2 -25r+144=0$$<br>$$\\frac{11!}{r(r-1)!}= \\frac{12×11!}{(r-1)!} =$$ $$\\frac{1}{r} =12$$ $$r=\\frac{1}{12}$$<br>r=9<br>r = 1/12 | |
| 471. |
Sin² 45° - sin² 15° |
| Answer» √3/4<br>sin²a-sin²b=sin(a+b)sin(a-b)sin²45-sin²15=sin(45+15)sin(45-15) =sin(60)sin(30) =(√3/2)(1/2)=√3/4<br>√3/4 | |
| 472. |
Sin 1°or sin1radian is greater |
| Answer» Sin1 radian is greater because 1 radian=57° so 1° is smaller than 57° i.e. sin 1° is greater than1radian.<br>I lick you<br>* $$sin1^c$$<br>$$Sin1_{c} = 0.841$$$$sin1°=0.0174...$$$$sin1_{c}$$ is greater than $$sin1°$$<br>Sin 1radian is greater than sin 1degree | |
| 473. |
If 3x+4y>_12 |
| Answer» Need two equation I think for two variables | |
| 474. |
IF -5 ≤ 2/3? − 4 < 9,?ℎ?? ? ∈ ⋯ … … …. |
| Answer» | |
| 475. |
What is Collision ? How many type of collision explain? |
| Answer» A collision is said to have taken place if two bodies interact with each other and undergo a change in momentum and / or kinetic energy.Types of Collision(a) Perfectly Elastic CollisionA collision is said to be perfectly elastic if law of conservation of momentum and that of kinetic energy hold good during the collision.(b) Inelastic CollisionA collision is said to be inelastic if law of conservation of momentum holds good during collision while that of kinetic energy is not.<br>A\xa0collision\xa0is an event where momentum or kinetic energy is transferred from one object to another. ... There are two general\xa0types of collisions\xa0in physics:\xa0elastic\xa0and inelastic. An inelastic\xa0collisions\xa0occurs when two objects\xa0collide\xa0and do not bounce away from each other.An elastic collision occurs when the two objects "bounce" apart when they collide. Two rubber balls are a good example. | |
| 476. |
if tanx=sin x/cos xThere for cos x=? |
| Answer» Sinx/cosx<br>$$ cosx = \\frac{sinx}{tanx}$$ | |
| 477. |
18cx=18cx+2, find x |
| Answer» $$x \\in R$$$$\\mathfrak{In \\ this \\ equation \\ each \\ real.no.\\ setisfy \\ the \\ equation}$$ | |
| 478. |
Solve 18cx=18cx+2 find x |
| Answer» $$x=R$$ | |
| 479. |
What is hyperbola...?? ✍✍✍✍ |
| Answer» In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows. | |
| 480. |
Value of sin70°\\sin110° |
| Answer» $$\\frac {sin70°}{sin110°}$$$$\\frac{Sin(90-20)°}{sin(90+20)°}$$$$=\\frac{cos20°}{cos20°}$$$$\\frac {sin70°}{sin110°}=1$$ $$\\fbox{Ans}$$ | |
| 481. |
Explain Q.4 of 3.1 |
| Answer» GivenRedius r=100cmLength l=22cmThere forr=l/tita=tita=l/r=11/50rediunThere forDigri measure=180/π*11/50=180×11/50π=180×11/50×22/7=180×11×7/50×22=(63/5)°=12°(2/5×0)=12°36\'° | |
| 482. |
11n+2+122n+1 is divisible by 133 for all neN |
| Answer» | |
| 483. |
find the domain and range of the function f(x)=1/√16-x^2 |
| Answer» | |
| 484. |
The value of 0! Is?? |
| Answer» 1<br>1<br>1<br>1<br>1 | |
| 485. |
How many times two hands of a clock coincide between 3 to 6 o clock |
| Answer» No<br>6 | |
| 486. |
If set A contain ‘n’ |
| Answer» | |
| 487. |
(Sec^2) -( sin^2-2sin^4)/2cos^4-cos^2 = |
| Answer» | |
| 488. |
Tan (31pie /4) |
| Answer» Answer is -1tan(31π/4) = tan(32π-π/4) = tan(8π-(π/4)) = tan(-π/4) = -tan(π/4) = -1 | |
| 489. |
Cos (15pie /6) |
| Answer» Answer is 0cos(15π/6) = cos((12π+3π)/6) = cos(2π + π/2) = cos(π/2) = 0 | |
| 490. |
Prove that n¹¹/11 +n⁵/5 +n³/3 + 62/165n is positive integer for all n belongs to N |
| Answer» | |
| 491. |
2(x-3)+5 graph plot |
| Answer» | |
| 492. |
Sin^[email\xa0protected]+cos^[email\xa0protected]=? |
| Answer» 1<br>1<br>Sin^[email\xa0protected]+cos^[email\xa0protected] = 1<br>1 | |
| 493. |
Prove that tan 4x =???5?+???3????5?+???3? |
| Answer» This question is wrong | |
| 494. |
(A+B) (A -B )=what |
| Answer» A^2 -B^2<br>(A+B) (A -B ) ≠ what<br>A2-B2<br>A2-B2 | |
| 495. |
Cos(-1080) |
| Answer» Answer is 1Cos(-1080) = cos(-6π) = cos(0) = 1<br>1 | |
| 496. |
If there are 5 seats and 5 girls how many ways they can sit . |
| Answer» 120 | |
| 497. |
Tabhi mne kaha iska koi answer nhi |
| Answer» Life is a wonderful false but reath is a painful truth! | |
| 498. |
Bhagwaan krte hai lekin wo ek energy hai |
| Answer» Okkk thanks yaar...<br>Energy kesi kya energy kesi hoti hai ? Light ya heat energy kesi hoti hai ? Kinetic energy potential energy kesi hoti hai ? Electrival energy atomic energy ? Aese hi<br>Kaise energy ...?<br>Ghost sirf ek hypothitical chiz hai isliye sb drte hai kyuki ye dr k liye hi bana hai . I hope you understand what I want to say | |
| 499. |
2+3×4-56 |
| Answer» Sry -42 is the answer ?<br>-42<br>? Its -42 ?<br>42 | |
| 500. |
Define function? |
| Answer» Function can be defined as which has only one face<br>A\xa0function\xa0is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.\xa0A\xa0function\xa0is a relation in which each input has only one output. ... : y is a\xa0function\xa0of x, x is\xa0not\xa0a\xa0function\xa0of y (y = 9 has multiple outputs). : y is\xa0not\xa0a\xa0function\xa0of x (x = 1 has multiple outputs), x is\xa0not\xa0a\xa0function\xa0of y (y = 2 has multiple outputs). | |