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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.
| 1701. |
Mathematical |
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| 1702. |
What is method of difference in the chapter sequences and series |
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| 1703. |
Find the fourth term from the end in the expansion of (x/x^2-x^3/3) |
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| 1704. |
Solve the following inequalities X + Y is smaller than 5 |
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| 1705. |
Sum of series to n terms of series ( n²-1²) + 2(n²-2²) + 3(n²-3²) ....,........... |
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| 1706. |
Is language questions are as important as other ques in sequence nd series? |
| Answer» Yes,try to solve exampler | |
| 1707. |
Trigo eqn |
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| 1708. |
Find eqvation of the line through (4,5)and parallel to the line joining the points (3,2)&(-2,4) ? |
| Answer» 2x+5y=33 | |
| 1709. |
If |z+4| |
| Answer» <=1 | |
| 1710. |
Derivative of xraise to power 7 by first principle |
| Answer» d(x^7)/dx=. Bcz x^n=nx^n-17x^6. Here n =7 so x^7=7x6 | |
| 1711. |
More important question of limit and derivation |
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| 1712. |
3÷2*5*7*8**0*8*9*3"5 |
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Answer» Infinity is correct....?? Thanks anmol ♾ Zero |
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| 1713. |
Meaning of ^ |
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Answer» It means raise to power eg.7^2=49 It means a power is raised above a number or alphabet so that the given number or alphabet is multiplied by itself by the number of times the power is raised For example a^4=a*a*a*a=a^4 Raise to powereg:- 5^2=25 |
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| 1714. |
What is the value of DJ Shadow Dubai |
| Answer» rolk | |
| 1715. |
1-5×5-1×1-5×5-1=? |
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Answer» Mamta you are correct -53 -51 -4×4×(-4)×4 =-16×(-16) = 256 -41 Aap ese bodmas rule se kariye. Pehle multiply then subtraction. ??? -51 |
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| 1716. |
If nth term of sequence is an expression of first degree in n show that it is an AP |
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| 1717. |
Integration of xe^1+x^2 |
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| 1718. |
If A and B are nonempty sets, prove that A×B=B×A A=B. |
| Answer» If A & B are two non- empty subsets and we have to prove AxB=BxA iff A=BProof:We will prove this in two parts. In first part we will prove that if A=B then AxB=BxA and in the second part we will prove that if AxB=BxA then A=B.i) For the first part let us assume that A=BThen in AxB we can first replace first ‘A’ with ‘B’ (As by assumption A=B) so that it becomes BxB. Now we have AxB=BxB. In the next step we replace ‘B’ with ‘A’ so that BxB can be written as BxA.Thus we have AxB=BxB=BxAii)For the second part we assume that AxB=BxA and then we will prove that A=B. We will prove this by double containment. We will prove that A is subset of B and then B is subset of A .Let x∈ A and y∈BNow (x, y) ∈ AxBBut by our assumption AxB and BxA are equalSo (x,y) ∈ BxA implying that x ∈B , sine x is an arbitrarily chosen element, so A is subset of B.Now let x∈B and y∈ASo (x,y) ∈ BxABut again since BxA=AxB; therefore x∈A. Thus implying as before that Bis subset of AThus from double containment viz. A being subset of B and B being subset of A; we get A=B.Thus (i) and (ii) complete the proof.If A & B are two non- empty subsets and we have to prove AxB=BxA iff A=BProof:We will prove this in two parts. In first part we will prove that if A=B then AxB=BxA and in the second part we will prove that if AxB=BxA then A=B.i) For the first part let us assume that A=BThen in AxB we can first replace first ‘A’ with ‘B’ (As by assumption A=B) so that it becomes BxB. Now we have AxB=BxB. In the next step we replace ‘B’ with ‘A’ so that BxB can be written as BxA.Thus we have AxB=BxB=BxAii)For the second part we assume that AxB=BxA and then we will prove that A=B. We will prove this by double containment. We will prove that A is subset of B and then B is subset of A .Let x∈ A and y∈BNow (x, y) ∈ AxBBut by our assumption AxB and BxA are equalSo (x,y) ∈ BxA implying that x ∈B , sine x is an arbitrarily chosen element, so A is subset of B.Now let x∈B and y∈ASo (x,y) ∈ BxABut again since BxA=AxB; therefore x∈A. Thus implying as before that Bis subset of AThus from double containment viz. A being subset of B and B being subset of A; we get A=B.Thus (i) and (ii) complete the proof. | |
| 1719. |
11 chapter |
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Answer» Padh lijiye important hai Then |
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| 1720. |
Find distance of point (2,-4) from 12x‐5y‐39=0? |
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| 1721. |
X + iy = (a+ib)/(a-ib) , prove that x² + y² =1 . (complex no. and quadratic eqn.) |
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Answer» GK Given, x+y i = (a+ib)/(a- ib)........(1)By conjugating both sides , we get X-- iy= (a-ib)/(a+ib).......(2)Multiplying both equations (1) and (2) ,(X+ib)(x-ib) = (a+ib)/(a-ib)×(a-ib)/(a+ib) X^2+y^2 = 1 , hence proved.You can solve such questions easily by this method |
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| 1722. |
Angle b/w lines 2x-y+3and x+2y+3 |
| Answer» First find slope of both equation then use formula of tan(m+n) | |
| 1723. |
Find the sum to n terms of the series: 5+11+19+29+41.... |
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| 1724. |
The derivative of x^2-1 at x=10 is |
| Answer» x^2-1Differentiating with respect to x , we haveDy/dx=d/dx(x^2-1)Dy/dx=d/dx(x^2)- d/dx (1) =2x - 0 =2xSince x=10therefore 2x=2*10 =20 | |
| 1725. |
11.2ka |
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| 1726. |
Derivation of sinx/x |
| Answer» sinx/xDifferentiating with respect to x, we havedy/dx=x.d/dx(sinx) - sinx d/dx(x) / x^2 = xcosx - sinx /x^2 | |
| 1727. |
Basic concept of exercise 10.3 |
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| 1728. |
Que.3 ex 9.5 miscellaneous |
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| 1729. |
4 4 4 4=20Use + × ÷ - |
| Answer» 4×4×4+4 | |
| 1730. |
The angle between the lines x=2 and x-3y+1=0 is......... . |
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Answer» 2-3y+1=03y=3y=1 Perhaps 120degree |
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| 1731. |
Practical work lesson 1 2 3 |
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| 1732. |
Maths element ch 12 ex.2 q16 |
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| 1733. |
If q0 then p+q |
| Answer» O | |
| 1734. |
Q. Is Use of Permutations and Combination. |
| Answer» Permutations is used for different arrangements and combinations used for group Or a selection | |
| 1735. |
Find coefficient of x^12 in 4+2x-x²/(1+x)³. |
| Answer» 4 + 2x\xa0- x2 (1 - x3)4 + 2x - x2 (1 - x3 - 3x2 + 3)4 + 2x - x2 + x6 + 3x4 - 3x2x6+ 3x4 - 4x2 + 2x + 4so, coefficient of x12 os 0 | |
| 1736. |
Compute derivative of: f(x) =sin 2x |
| Answer» sin2x Differentiating w.r.t.x, we have=d/dx(sin2x) . d/dx(2x)=cos2x . 2=2cos2x | |
| 1737. |
Anybody can help in math |
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Answer» I can help u I think elements and jaypee mathematics Mathematics modern book Mathematics modern and pradee |
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| 1738. |
Is 3/0 a rational no. |
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Answer» No 3/0 is not a rational number No 3/0 is not a rationall no No 3/0 is not a rationl no. |
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| 1739. |
In the chapter binomial what is the name of r |
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Answer» number of places can be filled with the no.s from total that\'s n There is no name for r but it is denoted for a place which is somewhere between \'n\' numbers r= vacant place |
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| 1740. |
Square root of complex no. |
| Answer» It is ? written in the form of " i" Where i× i = 1 | |
| 1741. |
4x/7-2/3=11/2 |
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Answer» X=259/4 55/24 77/12 X=55/24 {tex}\\frac{4x}{7}{/tex} - {tex}\\frac{2}{3}{/tex} = {tex}\\frac{11}{2}{/tex}{tex}\\Rightarrow{/tex}\xa0{tex}\\frac{4x}{7}{/tex}=\xa0{tex}\\frac{11}{2}{/tex}\xa0+ {tex}\\frac{2}{3}{/tex}{tex}\\Rightarrow{/tex}\xa0{tex}\\frac{4x}{7}{/tex} = {tex}\\frac{37}{6}{/tex}{tex}\\Rightarrow{/tex}\xa04x = {tex}\\frac{37}{6}\\times7{/tex}{tex}\\Rightarrow{/tex}\xa0x = {tex}\\frac{37}{6}\\times\\frac{7}{4}{/tex}{tex}\\Rightarrow{/tex}\xa0x ={tex}\\frac{259}{24}{/tex} |
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| 1742. |
Let the sum of n, 2n, 3n, terms of an A.P be s1,s2,s3, |
| Answer» Given: {tex}{S_1} = {n \\over 2}\\left[ {2a + (n - 1)d} \\right]{/tex}\xa0…..(i){tex}{S_2} = {{2n} \\over 2}\\left[ {2a + (2n - 1)d} \\right]{/tex}…..(ii)And\xa0{tex}{S_3} = {{3n} \\over 2}\\left[ {2a + (3n - 1)d} \\right]{/tex}Now,\xa0{tex}{S_2} - {S_1} = {{2n} \\over 2}\\left[ {2a + (2n - 1)d} \\right] - {n \\over 2}\\left[ {2a + (n - 1)d} \\right]{/tex}{tex}\\Rightarrow {S_2} - {S_1} = (n - {n \\over 2})2a + \\left[ {n(2n - 1) - {n \\over 2}(n - 1)} \\right]d{/tex}{tex}= na + {1 \\over 2}\\left[ {4{n^2} - 2n - {n^2} + n} \\right]d{/tex}{tex}= {n \\over 2}\\left[ {2a + (3n - 1)d} \\right] = {1 \\over 3}\\left\\{ {{{3n} \\over 2}\\left[ {2a + (3n - 1)d} \\right]} \\right\\} = {1 \\over 3}{S_3}{/tex}{tex}\\Rightarrow {/tex}\xa03(S2\xa0- S1) = S3Hence proved. | |
| 1743. |
Use delta method to find the derivative of the following,cos(3x+5) |
| Answer» A circle | |
| 1744. |
1,3,5,7,9,11,13,15 by adding any three numbers make 30 |
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Answer» 11+13 =24 + reverse the 9 and it will turn to 6 then add 24+6= 30 May be Is its answer is not possible...☺️? Hmmm nice question |
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| 1745. |
Prove that 1-cos2theta/sin2theta = tan theta |
| Answer» Taking LHS 1-cos2theta/sin2theta=2sin^2theta/2sintheta costheta=sintheta/cos theta = tan theta | |
| 1746. |
in ∆ABC if A+C=2B,prove that 2cosA-C/2=a+c/✓a^2-ac+c^2 |
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| 1747. |
9.3 quation no of 8 |
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| 1748. |
if tan theta=b/a then find the value of a cos 2 theta+b sin 2 theta |
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| 1749. |
if (x+y)^1/3=a+ib,x,y,a,b belongs to R ,then show that x/a+y/b=4(a^2-b^2) |
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| 1750. |
if A={1,3,5,7},B={2,4,6,8} and N is the universal set,then findA\'U((A U B) intersection B\') |
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