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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.
| 5801. |
Find the equation of the set of point which are equipped distance from the point 1 , 2 , and 3,2,-1 |
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| 5802. |
Gryigdui |
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| 5803. |
How many 3digits even numbers can be made using the digits 1,2,3,4,6,7, if no digit is repeated |
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Answer» For 3 digit even number the third must be even like 124,374 so, third place/unit place is filled by 3 ways then 2nd is filled by 5 ways and 1st place is filled by 4 ways so, no of selection=4×5×3=60ways 3digits even number Even number are 2,4,6So it\'s 6P3 120,..6p3 |
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| 5804. |
If a,b,c are in GP then what is the value of a_b÷b_c |
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| 5805. |
Prove that-(2^1/4).(4^1/8).(8^1/16).(16^1/32) ........to infinite.=2 |
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| 5806. |
What are the applications of binomial theorem? |
| Answer» Binomial theorem\xa0is heavily used in probability theory . Binomial theorem\xa0is used in forecast services .the future weather forecasting is impossible without\xa0binomial theorem.the disaster forecast is also depend upon\xa0binomial theorems | |
| 5807. |
What is the value of i^i |
| Answer» 1 | |
| 5808. |
।1-i।=2x |
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| 5809. |
2x+3y=5 ;5y+7x=1,X?,y=? |
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Answer» (2x+3y=5)5;(5x+7y=1)2By subtracting both we get10x-10x+15y-14y =25-2y=23Putting the velue of y in equation 12x+3y=52x+3×23=52x=5-692x=-64x=-32 y= 1-7x/5 putting the value of y in equation 2x+3y= 52x+3(1-7x/5)= 52x+(3-21x/5)= 5(10x+3-21x/5)=5(-11x+3/5)=5-11x+3=25-11x=25-3-11x=22x=-22/11x=-22x+3y=52(-2)+3y=5-4+3y=53y=5+43y=9y=3 |
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| 5810. |
If A is the A.M between a and b, Show that A+2a/a-b + a+2a/A-a=4 |
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| 5811. |
If radius of circle increase 1% then what is increment in area |
| Answer» Let the radius of the circle is \'r\' then area isπr²And 1%of radius \'r\' is r×1%=r÷100The area of new circle is π(r+r/100)²π(101r/100)²π×10201r²/10000Increment in area is πr²-πr²10201/10000πr²(1-10201/10000)πr²(10000-10201/10000)πr² (201/10000)The increment is201/10000 | |
| 5812. |
Write the factorial notation of 3×6×9×12×15 |
| Answer» 18 | |
| 5813. |
Question number 5 of exercise 9.4 Ncert. |
| Answer» We are given that we have to find out the sum of the squares of first 20 terms, here we will use the formula of (the sum of squares of first n terms)....n(n+1)(2n+1)/6 | |
| 5814. |
In an AP if mth term is n and the nth term is m, where m not equal to n, find the pth term |
| Answer» a+(m-1)d=n...case 1a+(n-1)d=m...case 2From 1 and 2(m_n)d=n-mTherefor..d=-1Putting value of of d in 1a+(m-1)-1=na-m+1=na=n+m-1:p th term;a+(p-1)d=n+m-1+(p-1)(-1)=n+m-1-p+1Here..-1 and +1 get cancelled.=n+m-pHence..pth term =n+m-p. | |
| 5815. |
what is relation |
| Answer» A relation is a function if it "maps" elements of one set to another set. That means that each element in the first set can appear at most in one pair in the first entry.The example shows two elements of the first set can be mapped to the same element of the second set. | |
| 5816. |
Prove that (n!).(n+2)=[(n!)+(n+1)!] |
| Answer» RHS, [(n!) +(n+1)!] =(n!) +(n+1).(n!) =(n!). (1+n+1) (on taking common) =(n!). (n+2)LHS, (n!). (n+2)Therefore, RHS=LHS | |
| 5817. |
How a and b between is a+b/2 |
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| 5818. |
Differentiaon |
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| 5819. |
How 2+2=5 can anyone prove |
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Answer» 5(2-2)=2^2-2^2 that is 5(2-2)=(2+2)(2-2) (2-2) will cancel both sides then remains (2+2)=5 hence proved I can write 10-10=4-4 that is |
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| 5820. |
Centre (-a-b) and radius √a |
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| 5821. |
Find the equation of the line through the intersection of lines 3x+4y=7 and x-y+2=0 and slope is 5 |
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| 5822. |
Sin40°=? |
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| 5823. |
What is the difference between universal sets and union of sets |
| Answer» The universal set is a set which consists of all the elements or objects, including its own elements. It is represented by just a symbol \'U\'. But the union of sets is an operation performed on two sets, say A and B, which results in a set that has all elements belonging either to set A and set B or both. | |
| 5824. |
If nC9!=nC8!, find nC17. |
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Answer» n!/(n-9)!9!=n!/(n-8)!8!(n-8)!/(n-9)!=9!/8!(n-8)(n-9)!/(n-9)!=9×8!/8!n-8=9n=17nC17=>17!/(17-17)!17!nC17=1 1 |
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| 5825. |
Do Weekly Reviews or Unit Tests matter to 11 standard\'s result? |
| Answer» Yes ,they matter. | |
| 5826. |
What are the coordinates of the image of the point (2,-3,6) in the XY plane |
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| 5827. |
Mcq types |
| Answer» Mcq types mean | |
| 5828. |
Integral of -10/x^2 |
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| 5829. |
In PMI exampler solutions why we have added first and last term in Q. 15? |
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| 5830. |
Find the centroid of a triangle the mid point of whose side are D(1,2,-3) E(3,0,1) F (-1 , 1,4). |
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| 5831. |
Find square root |
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| 5832. |
(X+Y+Z) square ka formula |
| Answer» X2+Y2+Z2+2XY+2YZ+2ZX | |
| 5833. |
If n(A u B ) = 25 , n(A)=12, n(A-B)=8 then find the number of elements in AnB |
| Answer» n (A)=n (A-B)+n (AnB), n (AnB)=n (A)-n (A-B), n (AnB)=12-8=4, n (AnB)=4 | |
| 5834. |
Gsgshh |
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| 5835. |
Prove that sec²x+cosec²x>4 |
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| 5836. |
Using binomial theorem prove that 2^3n-7n-1 is divisible b |
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| 5837. |
How to find range of a function |
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| 5838. |
What\'s the half yearly question paper patern of math of class 11 |
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| 5839. |
2076 double |
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| 5840. |
If the set A has3 elements and the set B={3,4,5} then find the number of elements in (A×B). |
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Answer» Total number of element in AxB=3x3=9Therefore total number of element= 9 let elements in A are [x,y,z]element in B are[3,4,7]A×B=[X,3] [x,4] [x,7] [y,3] [y,4] [y,5] [z,3] [z,4] [z,5] |
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| 5841. |
Let R be the relation on the set N of natural numbers defined by a+3b+is equal to 12 |
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| 5842. |
The number of the real solution of the equation log10(7x-9)^+log10(3x-4)^=2 is |
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| 5843. |
Find the general solution of the equation sinx + sin 3x + sin 5x = 0 |
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| 5844. |
Cosx cosx/2 – cos3x cos9x/2= sin4x sin7x/2 |
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| 5845. |
Find the angle of a triangle whose vertices are A(1,2),B(-3,2) and C(3,-2). |
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| 5846. |
Find the terms(1+2x)^2/3 |
| Answer» I cant explain here but surf this query as it is on internet you will get the answer. | |
| 5847. |
Lim x tends to -infinity x^8-x^3+2/-3x^4+x+7 |
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| 5848. |
Lim |
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| 5849. |
If 1/y-x,1/zy,1/y-x are in a.p. prove that x,y,z are in g.p. |
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| 5850. |
What is a domain |
| Answer» Set of independent variable (x) for which function is defined (real number) is called domain it is actually denoted by Df. | |