

InterviewSolution
Saved Bookmarks
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.
8401. |
Graph of 3 lines |
Answer» | |
8402. |
The mid point of the sides of triangle are (1,5, -1) ,(0,4,-2) and (2,3,4). Find its vertices |
Answer» | |
8403. |
solve 2cos^2x +3sinx=0 |
Answer» | |
8404. |
Wat is passing marks in maths from 100 marks paper |
Answer» 33 33 marks Around 40% |
|
8405. |
Solve:- cos3x +cosx -cos2x=0 |
Answer» | |
8406. |
Multiplicative inverse of 4 minus root 5 |
Answer» | |
8407. |
Find the term independent of the x ( √x/3-3/2x²)*10 |
Answer» | |
8408. |
prove that B-A=A\'-B\' |
Answer» {tex}L.H.S.=A\'−B\'If U is universal set, then A\'=U−A and B\'=U−B⇒L.H.S.=(U−A)−(U−B)=U−A−U+B=B−A=R.H.S. (Hence Proved){/tex} | |
8409. |
Sin15° |
Answer» Sin15° = Sin ( 45 - 30 ) {{Now ... we know that , Sin ( A + B ) = SinA Cos B + Cos A sin B }}Thus , Sin 15° = Sin45 Cos 30 + Sin30 Cos 45 => after putting values we will get :: root3+ 1 / 2 root 2 | |
8410. |
Prove that:- acosA+bcosB+ccosC=2asinBsinC |
Answer» | |
8411. |
Sin10sin30sin50sin70 equals to 1/16 |
Answer» In these type of questions , firstly multiply and divide the term by 2 and then use:: 2 SinA SinB = Cos(A +B ) - Cos ( A-B ) type identities . And then took common terms outside and then again use above identities ... you will get your answer . Its quit tough to solve the whole question over there. thus, I have told you the procedure .. I hope it will help you ...? Jai ho dada prashuram ji ki .... |
|
8412. |
f(x)=3x+1f(gx)=x-2Find gx |
Answer» 3x -5 | |
8413. |
Prov that tan4x=4tanx(1-tan²x) /(1-6tan2 |
Answer» tan4x=2 tan 2x/1-tan^2 2xNow at both again put identity of 2x u will get the answer | |
8414. |
Find the derivative of e^√x using 1st principal |
Answer» Solve it bro {e^(√x+h)-e^h}/he^√x{e^h-1}/he^√x |
|
8415. |
Derivative of 1+Sin X /1-sin x |
Answer» 0+cosx/(1-sinx)^2 | |
8416. |
prove by law of algebra (A union B) union (A union B\') = A |
Answer» | |
8417. |
How to find out quadrant of negative theta values |
Answer» Pie-theta | |
8418. |
Prove by PMI :-n(n+1)(n+2)(n+3) is multiple of 24 |
Answer» For n=11(1+1)(1+2)(1+3)=1(2)(3)(4)=24For P(1) it is true.Let us assumes that it is true for n=kNow,P(k)=k(k+1)(k+2)(k+3)=24x(k+1)(k+2)(k+3)=24x/k.....(1)Now for P(k+1)=(k+1)(k+2)(k+3)(k+4)=24[x(k+4)/k]Therefore, it is true for n=k+1Thus by PMI, it is true for all n belongs to N | |
8419. |
Can anybody tell maths sample paper of 2019 |
Answer» Oswaal papers r best u should definitely try it Arihant |
|
8420. |
Find the square root of the complex number: z= -15 - 8i |
Answer» | |
8421. |
Sina + sinb |
Answer» 2sin(a+b)/2×cos(a-b)/2 | |
8422. |
Find domain and range of y=1/4-x² |
Answer» Domain not equal to -2 &2 Domain=R-{2} |
|
8423. |
If A=1 2 3 4 5 6 , B=2,4 ,6,8 find A-B |
Answer» A-B ka mtlb h a but not b .a toh diya h bnot nikal lo B\'=1,3,5.so A-B=1,3,5 hoga 8 will not come becoz...here is talking about A-B......Not ....B-A....hope u understand Will 8 come or not and why 1,3,5 |
|
8424. |
Cos20cos40cos60cos80=1/16 |
Answer» | |
8425. |
What is the general solution of the equation 5cos^[email\xa0protected] +7sin^2 - 6 = 0 |
Answer» | |
8426. |
Last minute tips? |
Answer» have a fun ,play games and see ncert revising videos on youtube Neat and clean paper or don\'t left/Drop any question & all the best |
|
8427. |
Prove that tan(45+x)=sec2x+tan2x |
Answer» LHS = Tan(45° + x )=(Tan45° +Tan45°)/(1-Tanx.Tan45°)=(Tanx + 1)/( 1- Tanx )=( Sinx/cosx + 1)./( 1- sinx/cosx)=(sinx + cosx )/(cosx - sinx)=(sinx +cosx )(cosx - sinx)/(cosx -sinx)²=(sin²x -cos²x)/(1-sin2x)=cos2x/(sin2x -1)=1/(sin2x - 1)/cos2x=1/(tan2x - sec2x )=(tan2x + sec2x )= RHS Put the formulaa |
|
8428. |
Sin(x+y)/sin(x-y)=a+b/a-b,show that tan x/tan y=a/b |
Answer» (sin(x+y) +sin(x-y)) /(sin(x+y)-sin(x-y)) =(a+b+a-b) /(a+b-a+b) By using componando & dividendo 2sinx.cosy/2cosx.siny=a/b Sinx.cosy/cosx. siny =a/bTanx/tany=a/b | |
8429. |
Derivative of (1-sin2x)/cosx with respect to x |
Answer» | |
8430. |
Find the squre roots of the following |
Answer» 2 i | |
8431. |
Find the 20th term from the last term of AP 3,8,13,.........253 |
Answer» 158 hai 20 term First reverse the A.P n then find 20th from beginning. |
|
8432. |
Find the number of arrangements |
Answer» 453600 10!/2!X 2! Chandigarh Complete ur question |
|
8433. |
Convert 40°20\' into radian measure |
Answer» 40 degrees 20 minutes1 degree = 60 minutes\xa01 degree = 60\'⇒ 40 degree 20\'⇒ 40 degree + 20\'⇒ 40° + 20°/60⇒ 40° + 1°/3\xa0⇒ (120 + 1)°/3⇒ 121°/3We know that Radian measure =\xa0π*degree measure/180⇒ (22*121)/(7*180*3)⇒ 2662/3780= 0.704 radians | |
8434. |
f(x)=cosx/1+sinx f\'(x)=? |
Answer» | |
8435. |
Sin18°=? |
Answer» Let A = 18° Therefore, 5A = 90° ⇒ 2A + 3A = 90˚⇒ 2θ = 90˚ - 3ATaking sine on both sides, we get sin 2A = sin (90˚ - 3A) = cos 3A ⇒ 2 sin A cos A = 4 cos^3 A - 3 cos A⇒ 2 sin A cos A - 4 cos^3A + 3 cos A = 0 ⇒ cos A (2 sin A - 4 cos^2 A + 3) = 0 Dividing both sides by cos A = cos 18˚ ≠ 0, we get⇒ 2 sin θ - 4 (1 - sin^2 A) + 3 = 0⇒ 4 sin^2 A + 2 sin A - 1 = 0, which is a quadratic in sin ATherefore, sin θ = −2±−4(4)(−1)√2(4)⇒ sin θ = −2±4+16√8⇒ sin θ = −2±25√8⇒ sin θ = −1±√5/4Now sin 18° is positive, as 18° lies in first quadrant.Therefore, sin 18° = sin A = −1±√5/4 | |
8436. |
f(x)=cos(x-π/16) find derivative |
Answer» f\'(x)=d/dx[cos(x-pi/16)]=-sin(x-pi/16){d/dx(x-pi/16)}=-sin(x-pi/16){1-0}=-sin(x-pi/16).......ANS | |
8437. |
If is smaller than right the length of the latest rectum of the ellipse |
Answer» | |
8438. |
write the domain of the following function :f(x)= 1/√(x+1)(2x-5) |
Answer» Domain can only be 3 or more than 3 Use wavy curve method koi answer krdo...?? |
|
8439. |
how many square tiles of side 40 cm needed to build length 29 m and breadth 6 m |
Answer» Total needed area=l*b =29*6=174m sq.Change it into cm=174*100=17400cm sq.Now find the area of square tile=40*40=1600cm sq.Total square tiles needed=17400/1600 =10.87ans. | |
8440. |
Lim x-0 (e^x^3)-1/sin^3x |
Answer» | |
8441. |
Domain and range of f (x)=x2 (here x is square) |
Answer» Domain is all real numbers. Range is R+ U {0} x€R, y€R |
|
8442. |
What is the rankof MOTHER in dictionary? |
Answer» | |
8443. |
z=i-1/ 1/2+3/2i |
Answer» 1 | |
8444. |
SinA/cos3A+sin3A/cos9A+sin9A/cos27A=1/2[tan27A-tanA] |
Answer» | |
8445. |
Prove that Tan15°+Cot15°=4 |
Answer» Tan(45-30)=tan45-tan30/1+tan45.tan30=(1-1/root 3)/(1+1/root 3)=root 3-1/root 3+1. .......1 similarly,cot(45-30)=root 3+1/root3-1. ........2Now by adding 1&2 we get 4 | |
8446. |
what is the derivative of sinxcosx |
Answer» Cos2x - sin2x | |
8447. |
Difference between average and percentage? |
Answer» A percentage is a dimensionless number (pure number). In colloquial language, an average is a single number taken as representative of a list of numbers. Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged. | |
8448. |
Tan x |
Answer» Sin x/cos x | |
8449. |
Find derivative of tanz by first principal |
Answer» As lim= tan(x+h)-tan(x)/hh->0 = multiply and divide by1+tanxtan(x+h) =tan(x+h)-tanx. 1+tan(x+h)tanx --------------------- ---------------------- . 1+tanxtan(x+h). h= tan(x+h-x). 1+tan(x+h)tanx -------------------------------------------- h= tanh. 1+ tan(x+h)tanx ------------------------------------- hAs tanh/h=1 = 1+tan(x+h)tanxPut h=O =1+tan^2x= sec^2x | |
8450. |
What is angke |
Answer» | |