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InterviewSolution
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.
| 801. |
Pair of equations X equal at 10 and X equal hai -10 have how many solution |
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| 802. |
Extra question from quadratic formula |
| Answer» Determine the nature of the roots of the following quadratic equation (x-2a)(x-2b)=4ab | |
| 803. |
For any positive integer n, prove that n3+n is divisible by 6 |
| Answer» ∴ n (n-1) (n+1) = n3\xa0- n is divisible by 6.( If a number is divisible by both 2 and 3 , then it is divisible by 6) | |
| 804. |
Which of the following is a quadratic equation? |
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Answer» Give options bro.. An equation that has degree of 2 |
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| 805. |
AP=2,__,26 |
| Answer» Ans. (i)\xa02, __ , 26We know that difference between consecutive terms is equal in any A.P.Let the missing term be\xa0x.x\xa0– 2 = 26 –\xa0x⇒ 2x\xa0= 28 ⇒\xa0x\xa0= 14Therefore, missing term is 14. | |
| 806. |
1 + cos square thita = cosec square thita |
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| 807. |
Solve graphically system of equation x+y=3 and 3x-2y=4 |
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| 808. |
Find the value of X in Cosec 3x = cot 30 + cot 60 / 1 + cot 30.cot 60 |
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| 809. |
Exercise 2.2 question no 1 |
| Answer» Csjxtk hegxjfj bevdjfsj cwcsjxb. Jsgdjdvfj gshxufevsj | |
| 810. |
4456+3737 |
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Answer» 8193 8193 |
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| 811. |
2x²+x-4=0factorise it |
| Answer» Please check your question | |
| 812. |
2x^2+d-x^2-b/2x=√d is a rational number or not |
| Answer» Question clear nhi hai, left side whole by 2x hai ya b by 2x | |
| 813. |
What is the sum of root 2 multiply by 1upon root 2 |
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| 814. |
The sum of 2 numbers is 8 . If their sum is 4 times their difference find the number |
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Answer» Let the numbers be X and Y.In first case X + Y = 8In second case X + Y= 4(x-y)After solving the both equation you will get x is equal to 5 and Y is equals to 3 Let number will be x and y.Given, x+y =8.......(i) 4(x-y) =x+y. Or, 4x-4y =8.........(ii) [x+y =8 in eq. i ] Now, multiply by 4 in eq. i Then we get, 4x+4y =32......(i)Now, Substract eq.(ii) from eq.(i)4x+4y =32,4x-4y =8,- + -____________ 8y =24 Or, y =3.Put the value of y in eq.(i)X+y =8x+3 =8X. =8-3 =5.Hence, number will be 5 and 3. Let x+y=8. ____(1eq).4 (y-x)=x+y______2nd(eq)Solve bothEquation X=0 Y=8 Right answer |
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| 815. |
If in two triangle ABC and PQR , AB/QR= BC/PR= CA / PQ . |
| Answer» Given, in two Δ ABC and Δ PQR, AB/QR = BC/PR = CA/PQwhich shows that sides of one triangle are proportional to the side of the other triangle, then their corresponding angles are also equal, so by SSS similarity, triangles are similar.i.e., Δ CAB ∼ Δ PQR | |
| 816. |
Root 7 is irrational number |
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Answer» let us assume that √7 be rational.then it must in the form of p / q [q ≠ 0] [p and q are co-prime]√7 = p / q=> √7 x q = psquaring on both sides=> 7q2= p2 ------ (1)p2\xa0is divisible by 7p is divisible by 7p = 7c [c is a positive integer] [squaring on both sides ]p2\xa0= 49 c2\xa0--------- (2)Subsitute p2\xa0in equ (1) we get7q2\xa0= 49 c2q2\xa0= 7c2=> q is divisible by 7thus q and p have a common factor 7.there is a contradictionas our assumsion p & q are co prime but it has a common factor.So that √7 is an irrational. We have to prove this wanna |
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| 817. |
What is is dependent consistent |
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Answer» It means that there are infinite many solution,and when we draw a graph ,then line of both equation are coincident or both equation draw on the same line. And they will be presant in form a1/a2= b1/b2= c1/c2. Or ratio of all cofficiant of like term are equal.For example:-2x^2+4x+7=0,4x^2+8x+14=0.Here, In first equation, a=2. ,b=4, c=7 In second equation, a=4, b=8, c=14a1/a2=b1/b2=c1/c22/4= 4/8= 7/141/2= 1/2= 1/2Hence,this pair of equation are coincident. If\xa0the\xa0systems\xa0of equations are\xa0dependent, it\xa0means\xa0that there are an infinite number of solutions. So in order to determine a single solution (out of the infinite possibilities), the value of x will depend on what you choose as the value of y. That is, x varies with y (and y varies with x).\xa0In mathematics and particularly in algebra, a linear or nonlinear system of\xa0equations\xa0is called\xa0consistent\xa0if there is at least one set of values for the unknowns that satisfies each\xa0equation\xa0in the system—that is, when substituted into each of the\xa0equations, they make each\xa0equation\xa0hold true as an identity. |
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| 818. |
The number 1.414 is rational or irrational. |
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Answer» 1.414 is an rational number. Because,1.414 can be written in form p/q,where qis not equal to 0.Solution:- 1.414= 1414/1000. [both are divided by 2] =707/500.Here,p=707 q=500.So it is a rational number Irrational |
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| 819. |
Prove that (√5+√3) is irrational |
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| 820. |
How to find the roots |
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| 821. |
An AP consists of 50 terms of which 3rd term is 12 and last term is 106.find the 29th term |
| Answer» Let a , d are first term and commondifference of an A.Pnth term = Last term = a + ( n - 1 )dan = a + ( n - 1 )dNow ,It is given that ,Third term = 12a + 2d = 12 ------( 1 )Last term = 106a + 49d = 106 ---( 2 )Subtract ( 1 ) from ( 2 ) , we get47d = 94d = 2Substitute d value in equation ( 1 ) ,We geta + 2 × 2 = 12a = 12 - 4a = 829th term = a + 28da29 = 8 + 28 × 2= 8 + 56= 64 | |
| 822. |
(√3-2) (√3+2) |
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Answer» -1 is the answer (√3-2) (√3+2)=(√3)2 -(2)2 {(a - b)(a+b) = a2 - b2}= 3 - 4= -1 |
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| 823. |
Value of x in x+5=0and x+6=-1 |
| Answer» In first x+5=0 x=-5In second x+6=-1 x=-7 | |
| 824. |
polynomial x 4 - 17 x square - 36 - 22 of this zeros for |
| Answer» Let the zeros be a,b,c and d\xa0Then,\xa0\xa0\xa0..........(1)\xa0\xa0\xa0\xa0..........(2)\xa0Using (1) and (2), we get\xa0\xa0\xa0\xa0\xa0\xa0when a=-1, b=-2\xa0when a=-2, b=-1\xa0 | |
| 825. |
5π-4y+8=0 |
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| 826. |
D=b^2-4ac |
| Answer» Hii | |
| 827. |
Find the quadratic polynomial of sum of zero and their products is -1 |
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Answer» x^2+x-1 x square +x-1 |
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| 828. |
Find the zeroes of the quadratic polynomial by splitting middle term of x² + 5x + 6 |
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Answer» x²+5x+6=0or, x²+3x+2x+6=0or, x(x+3)+2(x+3)=0or, (x+3)(x+2)=0or, roots are, x+3=0 x= -3 And x-2=0 x=2 ? @ns... X² +5x+6X²+(6-1)x+6X²+6x-1x+6X(x+6)-1(x+6)X+6=0 & X-1=0X=-6 & X= 1 |
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| 829. |
How much ncert question come in board exams |
| Answer» Most of the questions come from ncert text. | |
| 830. |
11x+15y+23=07x+2y-20=0Slove by substituting method. |
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Answer» Ok baby.... Substitution method is not deleted, Cross multiplication method is deleted. \xa07x-2y=20 .... (1)11x+15y = -23 .... (2)Multiply equation (1) by 15 and (2) by 2, we get105x - 30y = 300 ... (3)22x + 30y = -46 ... (4)Adding (3) and (4), we get127x = 254→ x = 2Substitute the value of x = 2 in (1), we get7(2)-2y=20→ 2y = -6→ y = -3\xa0Therefore x = 2 and y = -3. Dear,according to me this method has been deleted by cbse Take equ. No 1 |
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| 831. |
Prove that 2-√3 are irrational |
| Answer» Let us assume, to the contrary, that 2-√3 is rational.That is , we can find coprime a and b (b≠0) such that 2-√3= a/b.Therefore 2- a/b= √3Rearranging this equation, we get √3=2-a/b= 2b-a/bSince a and b are integers, we get 2-a/b is rational, and so √3 is rational.But this contradicts the fact that √3 is rational.This contradiction has arisen because of our wrong assumption that 2- √3 is rational.So, we conclude that 2-√3 is irrational.Hope it works. | |
| 832. |
Solve this pair of linear equations in two variables using substitution method X+y =75x+12y=7 |
| Answer» X+y=7-------(1)5x+12y=7-------(2)From equation (1) -----> X+y=7 =X=7-ySubstitute equation (1) in equation (2)=5(7-y)+12y=7=35 - 5y + 12y = 77y = 7 - 357y = -28Y= -28/7Y= -4 Substitute y= -4 in equation (1)X+(-4) =7X -4 =7X=7+4X=11X=(11) and y=(-4) | |
| 833. |
Find HCF of 150,175,180 |
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Answer» 150= 2×5×3×5175= 5×5×7180= 2×2×3×3×5HCF (150,175,180) = 5 Dear, this is A question of 5th class nd u r in merit.... U must know how to find HCF nd if you don\'t know ask from child of 5th standard |
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| 834. |
Point a (-1,y) and b(5,7) lie on a circle o(2,-3y) .find value of y |
| Answer» We know, if A and B lies on circle and C is the centre of circle , then line joining of points A and B is intersected by Centre of circle.e.g., O lies on midpoint of AB. means, we have to use midpoint section formula.here, A (-1, y) and B(5,7) lies on circle with centre C(2,-3y) .A--------------C------------------Bnow, use midpoint section formula,[if (x,y) is the midpoint of (x1,y1) and (x2, y2) then, x = (x1 + x2)/2 and y = (y1+y2)/2 ]so, -3y = (y + 7)/2=>-6y = y + 7=> -7y = 7=> y = -1 | |
| 835. |
Find the value of x for which the distance between the point p(x,4) |
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| 836. |
The sum of four number in A.P is 50 ,and the greatest number four times the least.Find the number. |
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Answer» Other student tell me ans. of this que... Thanks bhavya.... What Se (to Arun ) Let the first no. be \'a\'Therefore the terms of the AP area , a+d ,a+2d ,a+3d.So,a+(a+d)+(a+2d)+(a+3d)=504a+6d=502a + 3d = 25.......inow we know that the 4th term is 4times the first term.Therefore, 4a = a+3d3a = 3d a = d......ii Substituting ii in i we get2a+3a=25 a = 5Thus the AP is5 , 10 , 15 , 20 .... Se |
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| 837. |
When a coin is tossed 50 times find tbe probability of getting head and tail |
| Answer» Head head , tail tail , tail head | |
| 838. |
1 Percent equals to how many Marks |
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Answer» But it is different for different total marks 1 per cent means that you get 1 mark out of 100 marks |
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| 839. |
Find the quadratic polynomial the sum of whose zeroes is _10 and product of its zeroes is _39 |
| Answer» x^2-10x-39 | |
| 840. |
The seventh term from the last term of the AP:27,36,45,............180 |
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Answer» 81 81 |
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| 841. |
X+1/X-1+X-2/X+2=3 |
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| 842. |
Euclid divisin lemma 196 and 38220 |
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Answer» From cbse board ex 1.1 has been deleted. You don\'t have to practise this exercise In the given pair, 38220 > 196, thus let 38220 = a and 196 = bNow by applying the Euclid’s division algorithm, we get38220=196×195+0\xa0(Here\xa0q=195\xa0and\xa0r=0)Since, in the above equation we get, r = 0, therefore, 196 is the HCF of the given pair 196 and 38220. solution let a=38220 and b= 196 from euclid division lemma a=bq+r 38220=196×195+0 HCF=196 |
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| 843. |
Evaluate the following:3- cos45 _________Sec 35+cosec30 |
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| 844. |
The sum of zeroesof a quadratic polynomial15/4 and their product is 3. find the polynomial |
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Answer» We know that alpha+beta=-b/a=15/4 and alpha×beta=c/a=3=12/4Hence polynomial formed is 4xsquare-15x+12 X^2 +15/4x+3 |
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| 845. |
9÷3×3=? |
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Answer» 9 9 9 9 9÷3×3= 3×3= 9 |
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| 846. |
Which topics are deleted in mathematics |
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Answer» I-NUMBER SYSTEMS REAL NUMBERS \uf0b7 Euclid’s division lemma UNIT II-ALGEBRA POLYNOMIALS \uf0b7 Statement and simple problems on division algorithm for polynomials with real coefficients. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES \uf0b7 cross multiplication method QUADRATIC EQUATIONS \uf0b7Situational problems based on equations reducible toquadratic equationsARITHMETIC PROGRESSIONS \uf0b7Application in solving daily life problems based on sumto n termsUNIT III-COORDINATE GEOMETRY COORDINATE GEOMETRY \uf0b7 Area of a triangle. UNIT IV-GEOMETRY TRIANGLES Proof of the following theorems are deleted\uf0b7The ratio of the areas of two similar triangles is equal tothe ratio of the squares of their corresponding sides.\uf0b7 In a triangle, if the square on one side is equal to sumof the squares on the other two sides, the angleopposite to the first side is a right angle.CIRCLES No deletion CONSTRUCTIONS \uf0b7 Construction of a triangle similar to a given triangle. UNIT V- TRIGONOMETRY INTRODUCTION TO TRIGONOMETRY \uf0b7 motivate the ratios whichever are defined at 0o and 90oTRIGONOMETRIC IDENTITIES \uf0b7Trigonometric ratios of complementary angles.HEIGHTS AND DISTANCES No deletion UNIT VI-MENSURATION AREAS RELATED TO CIRCLES \uf0b7 Problems on central angle of 120° SURFACE AREAS AND VOLUMES \uf0b7 Frustum of a cone. UNIT VI-STATISTICS & PROBABILITY STATISTICS \uf0b7 Step deviation Method for finding the mean \uf0b7 Cumulative Frequency graph PROBABILITY No deletion Exercise - 1.1Exercise - 2.3Use of cross multiplication method in ch. 3Q.3, 4, 8, 9, 10 of Exercise - 4.3Q. 15 to Q. 20 of Exercise - 5.3Theorem 6.6 and 6.9Exercise- 7.3Exercise - 8.3Q. 2 to 7 of Exercise 11.1Q. 7 of Exercise 12.2 and Q. 6 of Exercise 12.3 Exercise - 13.4Exercise- 14.4 and use of step deviation method for finding mean http://cbseacademic.nic.in/Revisedcurriculum_2021.html . Go on the above link and select Math u will get which topics r deleted. |
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| 847. |
In an AP if 3times the 4th term is equal to 2times the 7th term the ratio of 7th and 10th term |
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Answer» 3:4 3:4 I don\'t how to solve 114 |
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| 848. |
If a polynomial x^4+5x^3+4x^2-10x-12 two zeroes as -2 and -3, then find the other zeroes |
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| 849. |
x+1/x-1 + x-2/x+2 = 4-2x+3/x+2 |
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Answer» ......... Kg iviikgjjvifijvjj j jvijtjt.tfmvkgtgigkgotjyjgofotk yigifkthtbg |
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| 850. |
If a=5 common difference (d) =2k-8 ,k=??? |
| Answer» 6.5 | |