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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.
| 6801. |
Simple trick to solve complex multiplication |
| Answer» Use some vadic math tricks for long & complex multiplication . It was avilable on app and also in YouTube . It was a really a effective way for solving multlipacation . Thank for asking question. | |
| 6802. |
Mod(Z1-Z2)= |
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| 6803. |
Mod(z1-z2)=? |
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| 6804. |
Define function |
| Answer» Function is a relation in which every element of domain has its single and unique image in co-domain. | |
| 6805. |
If A+ B= 120, B+ C = 50, C+ A= 110 ,then calculate B |
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Answer» Oh yes by mistake I have written 110+70= 200 ,it would be 180 and then A= 90 . So,90+B=120=>B=30. Sorry , for the mistake?? A+B=120 eq. 1B+C=50 eq. 2C+A=110 eq. 3=》 from eq. 1 A=120-BSubstituting the value (A=120-B) in eq. 3 we get, C+(120-B)=110 C=B-10Substituting the value ( C=B-10 ) in eq. 2 we get, B+(B-10)=50 2B=50+10 B=30 A+B-(B+C)=120-50. => A-C=70=>A-C+C+A=70+110=200. 2A=200. A=100 Since,A+B=120 and A =100So,B=20 |
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| 6806. |
Collection of all residents of Orissa who will live for more than 100 years\' is it a set? |
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| 6807. |
Find the value of x and y where x and y are real numbers.4x+i(3x-y) =3+i(-6). |
| Answer» Equating real and imaginary parts:4x=3=>x=3/4And,3x-y=-6=>3*3/4-y=-6=>y=(9/4)+6=>y=33/4 | |
| 6808. |
Tan 15° + cot 15° = 4 |
| Answer» Tan(45-30)+cot(45-30)Now use identities of tan(A+B) and cot(A+B) and you will get the answer. | |
| 6809. |
Find the sum of AP 101+99+97+........+47 |
| Answer» a=101,d=101-99= -2, last term (an) =47 an=a+(n-1)d 47=101+(n-1)-2 -54=(n-1)-2 n-1=27 n =28 Sn = n/2*(a+l) = 28/2*(101+47) = 14*148 = 2072 | |
| 6810. |
Sin4x +sin3x+sin2x =0 |
| Answer» Sin4x+sin2x+sin3x=0L.H.S:- 2.sin (4x+2x)/2.cos (4x-2x)/2 +sin3x=2sin3xcosx +sin3x =sin3x (2cosx+1)= | |
| 6811. |
Find the sum of AP 101+99+97+..............+48 |
| Answer» 2072.see it\'s solution in the top. | |
| 6812. |
Sin18degree value |
| Answer» (√5-1)/4 | |
| 6813. |
if cosA+sinA=2^1/2cosA then show that cosA-sinA=2^1/2sinA |
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| 6814. |
Minus 2 upon 3 into 3 upon 5 + 5 upon 2 minus 3 upon 5 into into 1 upon 6 |
| Answer» Is anwer is 7/5 | |
| 6815. |
If P(A)=P(B),show that A=B |
| Answer» Let x € A<=>{x} €{A}<=>{x} €{B}<=> x € BACB and BCA this implies A=B | |
| 6816. |
How to draw graph of |x| |
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| 6817. |
What is the complex number conjugate |
| Answer» Of complex no. Is a+ib then its conjugate. Is a-ib.(change the sign b/w) | |
| 6818. |
devied |
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| 6819. |
A×A |
| Answer» A^2 | |
| 6820. |
How to find concurrency of straight lines from column method and applying determinants to it |
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| 6821. |
Find the value of x if 12Cx=12Cx+4 |
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Answer» n=2x+4x=4 n=2x+4 4 |
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| 6822. |
Square root of - 8-6i |
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| 6823. |
n(n2-1) is divisible by 24 |
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| 6824. |
Show that the sum of ( m+n)th and (m + n)th term of an A.P. is equal to twice the mth term |
| Answer» Let a and d be the first term and the common difference of the A.P. respectively.It is known that the kth term of an A. P. is given byak = a + (k –1) d∴ am + n = a + (m + n –1) dam – n = a + (m – n –1) dam = a + (m –1) d∴ am + n + am – n = a + (m + n –1) d + a + (m – n –1) d= 2a + (m + n –1 + m – n –1) d= 2a + (2m – 2) d= 2a + 2 (m – 1) d=2 [a + (m – 1) d]= 2amThus, the sum of (m + n)th and (m – n)th terms of an A.P. is equal to twice the mth term. | |
| 6825. |
What is maths ? Why is math and how. |
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| 6826. |
Tangent 37.5value |
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| 6827. |
How many 3 letter words can be formed using letters of word Ineffective |
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| 6828. |
1+2+3+4+..........+=1/2 ? |
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| 6829. |
Why 3rd point of question 15 of chapter linear inequality is false |
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| 6830. |
Find the range of functionf(x)=1+3cos2x |
| Answer» Ans plz | |
| 6831. |
1/3x3/2+2x+c |
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| 6832. |
Value of sin 18 and sin 22.5 |
| Answer» Value of sin18 is root5+1/4 and sin22.5 value is 2−√2/4 | |
| 6833. |
Prove that a+(a+b)+(a+2b)+........... {a+(n-1)d} =n÷2×{2a+(n-1)d} by PMI method |
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| 6834. |
If cot (a+b) is 0. Then write the value ofsin(a+2b) |
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| 6835. |
General solution of 4sinxcosx+2sinx+2cosx+1=0 |
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| 6836. |
Chapter 10.2 questions |
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| 6837. |
What do you mean by transversal |
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| 6838. |
Sin18° |
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| 6839. |
In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together? |
| Answer» 6p3×3!×5! | |
| 6840. |
Cos 1°+ cos 2° + cos 3° +------- +cos 180° is the correct value is 0? |
| Answer» 0 | |
| 6841. |
Find the ARGUMENT1-iroot3/1+iroot3 |
| Answer» 1 | |
| 6842. |
Find modulus of complex number of 2-5i |
| Answer» √4+√25=√29 | |
| 6843. |
How to factorise cubic equations |
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| 6844. |
2×6×10×14×-------n factors=2n!/n! |
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| 6845. |
if sina +sinb=x then sina_Sinb will be what |
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| 6846. |
11class |
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| 6847. |
Find the orthocenter of the triangle formed by the lines x-y+1=0. ,x-2y+4=0 ,9x-3y+1=0 |
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| 6848. |
n(n+1)(n+5) is a multiple of 3 |
| Answer» 1.Let n=11 (1+1)(1+5)12 which is divisible by 32.n=mm (m+1)(m+5) =3x (m+5)=3x/m(m+1)................................................13.n=m+1(m+1)(m+2)(m+5)3x/m (m+1)×(m+1)(m+2)hence divisible by 3 | |
| 6849. |
Write numberof terms in the expansion of (1+2x+x2)10 |
| Answer» (x+1)^20 | |
| 6850. |
Cos X - 1____________ = 0 prove X. |
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Answer» 0 X=0 |
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