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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.
| 2851. |
Sum to n terms of the series [1÷(1×2)]+[1÷(2×3)]+[1÷(2×4)]+....... |
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| 2852. |
Prove that cos7x + cos5x / sin7x - sin5x =. Cotx |
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Answer» Sol 2cos6xcosx/2cos6xsinx=cosx/sinx=cotx=RHS multiply both side by 0 you get LHS=RHS ???NO NEED FOR THANKING ME |
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| 2853. |
How to done maths paper perfectly |
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Answer» Study maths effectively With cool mind and soul |
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| 2854. |
Find zeroes of polynomial 3x^2-x-10 |
| Answer» 3x^2 -x -10 ____=3x^2 -6x+5x-10 .........then 3x(x-2) +5(x-2)=0.......... .......then (3x+5) ( x-2)=0......Therefore, roots are x= 2,(-5/3). | |
| 2855. |
Prove n/3+n/5+n9 is a natural number. |
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| 2856. |
How i write 11lakh 11thousand 11hundred 11 in digits |
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Answer» 11,12,111 Question is wrong because we write 11 thousand as 11,000 and then 11 hundred as 1,100 both may get added |
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| 2857. |
Alpha beta gamma are the roots of eq. x³+x+1=0 then value of alpha³+beta³+gamma³ is |
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| 2858. |
differentiate f (x)=x^3+x^2+1/x |
| Answer» 3x+2x+(-1×) =4x | |
| 2859. |
Solve by cross multiplication method -(a-b)x + (a+b)y = (a+b)(x+y) = |
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| 2860. |
Limit x-->0 cose x - cotx ÷ x |
| Answer» Lim x-->0( 1/sinx-cosx/sinx)÷x...by taking Lcm...u will get 1-cosx/(sinx)x....we can write 1-cosx as 2sin^2x/2.....in denominator multiply and divide by x and 4..then put the limits....u will get the answer 1/2 | |
| 2861. |
Prove that Cos^2 x + Cos^2 (x+π/3) + Cos^2 (x-π/3) = 3/2 |
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| 2862. |
Insert 2 irrational numbers between 7 and 8 |
| Answer» (7×8)^2 =56^2 =2 (14)^2 | |
| 2863. |
Important question for 11th 2019 annual examination |
| Answer» whole book is important ??? | |
| 2864. |
Codomajn of example 15 in chapter 2 |
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| 2865. |
3 coins are toss one find the probability getting |
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| 2866. |
Can you explain me question number 9 of exercise 8.2 |
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Answer» Thanks Here, we have to prove that a raised to the power m is equal to a raised to the power m |
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| 2867. |
log tanx |
| Answer» Assume tan x to be y then the question becomes to find the derivative of log y.Hence, d/dx log (tan x) = 1/tan x . d/dx (tan x) ( using d/dx log x = 1/x)= 1/tan x . sec2 x.= (cos x)/ (sin x). 1/ cos2x= 1/ sin x cos x | |
| 2868. |
Find area of triangle formed by the lines y=m1x+c1 , y=m2x+c2 , x=0. |
| Answer» Solve 3 equation separate and then u get 3 points then use determinants to find area of traingle. | |
| 2869. |
Can you explain me exercise 12.2 question 5 |
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| 2870. |
Define modulus function.Draw the graph and write its domai and range |
| Answer» Modulus Function is the function in which the image of domain\'s any real number is the positive real counter part in the co domain...It\'s Algebraically defined as\xa0f(x) = |x| orf(x) = { x , if x>=0 & -(x) , if x<0 }Range(f) = Real No. (- <><>,+ <><>)Domain(f) = Positive Real No. [0 , +<><>)\t\tThe graph of the modulus function is given below.\t\t | |
| 2871. |
If tan35=x , prove that tan145-tan125/1+tan145tan125 = 1-x^2/2x |
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| 2872. |
The number of 4 digit odd numbers can be formed using 0,1,2,3,4,5,7 are |
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Answer» 5×5×4×4 6×7×6×4 |
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| 2873. |
What is the difference between permutations and combination? |
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Answer» Simply Permutation is selection whereas combination is arrangement Both permutations and combinations are collections of objects. But while a combination is a collection of the objects where the order doesn\'t matter, a permutation is an arrangement of a group of objects where the order does matter.... |
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| 2874. |
Convert {5,25,125,625} into set-builder form |
| Answer» {5^n: n=1,2,3,4 } | |
| 2875. |
If tan(A+B)=p and tan(A-B)=q then show that tan2A=(p+q)/1-pq |
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| 2876. |
√3cosx+sinx=√2 solve |
| Answer» √3/2(cosx) +1/2(sinx)=1/√2=> cosπ/6•cosx + sinπ/4•sinx =1/√2=> cos(x-π/6)=cosπ/4=> x-π/6= 2nπ+_π/4=> x= 2nπ+π/6+-π/4 | |
| 2877. |
Can you please give me some tips for getting passing marks in mathematics? |
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Answer» Thank you aditi!!! Which chapter u think easy just solve the questions of that chapter Completely prac. whole ncert again & again |
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| 2878. |
Convert 240 degree into radian measure |
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Answer» π/180×240=4π/3 4π/3 |
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| 2879. |
Find the equation of the ellipse passing through (4,1) with focus as(+-3,0) |
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| 2880. |
Conjucate of (3-2i)(2+3i)/(1+2i)(2-i) |
| Answer» (3-2i)(2+3i/(1+2i)(2-i)6+9i-4i+6/2-i+4i+26+5i+6/2+3i+212+5i/4+3i × 4-3i/4-3i63+16i/2563/25 + 16i/25 is the conjugate of following eqn. | |
| 2881. |
f(x)=x^100/100+x^99/99+...+x^2/2+x+1 |
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| 2882. |
Reduce the equation √3x+y-8=0 to normal form |
| Answer» cos30°x + sin30°y=4p=4alpha=30° | |
| 2883. |
Prove that the points (2,3) ,(3,4)and (4,3) are the vertices of right angle triangle ? |
| Answer» m=4-3/3-2=1 m=3-4/4-3=-1 then m1m2=-1 1×(-1)=-1 | |
| 2884. |
A wheel makes 360 revolutions in one min.Through how many radians does it turn in 1 sec ? |
| Answer» 1 min = 360 revolutions Therefore 1 sec = 360/6 = 6 revolutionsNow for 1 revolution = 360°6 revolutions = 360°*6 =2160 Now change 2160 into radianAns. 12 pia | |
| 2885. |
2-3= |
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Answer» -1 -1 -1 |
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| 2886. |
9^n-8^n-1 is divisible by 8 |
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| 2887. |
How to learn alll the trignometric formulaes in class xi |
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Answer» Make a chart of all formulaes and paste in your room and read it everyday. It will definately work .i have tried it Try to derive all formula it makes u easy to memorize the formula It is better than byhearting them. U will surely forget it within 1 week. Try to derive it. It is my suggestion Try to understand their derivations |
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| 2888. |
Tanx=underroot 3 |
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Answer» If u want to find the value of x then answer is 60° or π/30 X=60 |
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| 2889. |
What is fibbonaci sequence |
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Answer» In mathematics, the Fibonacci numbers, commonly denoted Fₙ form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is, and for n > 1. One has F₂ = 1. Sequence forned by fibbonaci numbers each no. is the sum of two preceding once starting from 0 and 1 |
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| 2890. |
What is the units digit of the product of all prime number between 1to 100 |
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| 2891. |
Derivative of sin(x+a) |
| Answer» Using chain rule , d(sin(x+a))/dx = [d(sin(x+a))/d(x+a)] × [d(x+a)/dx]= [cos(x+a)] × [1+0]= cos(x+a) | |
| 2892. |
Centre at (0,0) ,major axis on the y-axis and passes through the points (3,2) & (1,6) |
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| 2893. |
What is the formula for standard deviation and variance |
| Answer» \t\tStandard Deviation Formula:\tσ\xa0\xa0=\xa0{tex}\\sqrt{\\frac{\\sum \\left ( x-\\bar{x} \\right )}{N}}{/tex}Where,σ\xa0is the standard deviationx Indicates each value of the populationx¯\xa0shows the mean of all valuesN is the total number of values\xa0\tThe variance is written as\xa0σ2 | |
| 2894. |
How to solve root tanx by first principles method |
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Answer» Tan(x+h)-tan(x)÷h= then break tan into sin/cos, then take l.c.m. and substract , then use formula sin(a+B) and at last put all h as 0 because the limit taken as h tends to 0........ :) (tan(x+h)-tanx)^1/2use tanx - tany formula and solve |
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| 2895. |
Baniomal |
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| 2896. |
26×82 |
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Answer» 2132 is the answer :) 2132 2132 it\'s a answer 2136 |
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| 2897. |
A={1,2},b={x:x € N x2 -9= 0}.find A×b |
| Answer» Ansare | |
| 2898. |
Prove that : a cos A +b cos B+ c cos C=2 a sin B sin C |
| Answer» We know a / sin A = b / sin B = c / sin C. b = a cos C + c Cos A c = a Cos B + b cos ALHS = a cos A + (a cos C + c cos A) cos B + (a cos B + b Cos A) cos C = a cos A + cos A (c cos B + b Cos C) + 2 a Cos C Cos B = a cos A + cos A * a + 2 a cos C cos B = 2a [cos A + Cos C Cos B] = 2 a [ cos (π-B-C) + cos C cos B] = 2 a [- cos (B+C) + cos C cos B] = 2 a Sin B sin CRead more on Brainly.in - https://brainly.in/question/1122558#readmore | |
| 2899. |
deritives |
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| 2900. |
If cos x=_3/5,x liesin the third quadrant find other value of trigonometry |
| Answer» {tex}\\begin{array}{l}\\cos x=\\frac35\\\\\\sin x=\\sqrt{1-\\frac9{25}}=\\sqrt{\\frac{16}9}=\\pm\\frac45\\\\\\end{array}{/tex}In 3rd quadrantsin is -ve so sinx = -4/5tan is -ve so tanx= -(4/5)/3/5= -4/3other ratios can be calculated | |