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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.
| 14501. |
√2 is irrational prove |
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Answer» Let us assume that √2 is rational no. √2=p/q. (q is not equal to 0) √2q=p. (S.B.S) 2q^2=p^2Since 2 divides p square ,So 2 also divides pAlso. p=2m. (M is some integer) p^2=4m^2. {Sbs} 2q^2=4m^2 q^2=2m^2Since 2 divides q square so 2 also divides q-+But we know that rational numbers have only one common factor that is oneSo this contradicts our fact that under root 2 is rationalSo our exemption may be wrong,Hence √2 is rational number Given √2 is irrational number.Let √2 = a / b wher a,b are integers b ≠ 0we also suppose that a / b is written in the simplest formNow √2 = a / b ⇒ 2 = a2 / b2\xa0⇒ 2b2 = a2∴ 2b2 is divisible by 2⇒ a2 is divisible by 2 ⇒ a is divisible by 2 ∴ let a = 2ca2 = 4c2 ⇒ 2b2 = 4c2 ⇒\xa0b2 = 2c2∴ 2c2 is divisible by 2∴ b2 is divisible by 2∴ b is divisible by 2∴a are b are divisible by 2 .this contradicts our supposition that a/b is written in the simplest formHence our supposition is wrong∴ √2 is irrational number. |
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| 14502. |
Find a relation between x&y .if the points A(x,y),B(-4,6)&(-2,3)are collinear? |
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| 14503. |
Prove 117×5×110+91 is a composite number |
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| 14504. |
Write the HCF of 52 and 117 in the form of 52m +117n |
| Answer» Let us find HCF of 52 and 117 by Euclid\'s division algorithm.Since 117>52117 = 52 × 2 + 1352 = 13 × 4 + 0Therefore HCF (52, 117) = 13Now, 13 = 52×(-2) + 117×113 = 52x + 117y where X = -2 and y = 1 | |
| 14505. |
Prove that sum of all angles of a triangle is 180 |
| Answer» In order to prove that the sum of angles of a triangle is 180, you must know the theorems of angles of a triangle.We know that, alternate interior angles are of equal magnitude.This\'ll help us get the answer. Let us assume a triangle ABC. Now we have to substitute the angles.∠PAB + ∠BAC + ∠CAQ = 180°. where PQ line parallel to side BC touching vertex A.∠PAB = ∠ABC & ∠CAQ = ∠ACB BECAUSE alternate interior angles are congruent..Hence we get, ∠ABC + ∠BAC + ∠ACB = 180° [Proved] | |
| 14506. |
draw a triangle ABC with side bc 6.5cm, angleB 30 एंगल 30 डिग्री एंगल ए 150 डिग्री |
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Answer» Wrong question How can only 2angle of triangle make a total of 180° |
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| 14507. |
1+cosA+sinA÷1+cosA-sinA=1+sinA÷cosA |
| Answer» LHS= (1+cosA+sinA)(1+cosA+sinA) ÷ (1+cosA-sinA)(1+cosA+sinA)= (1+cosA+sinA)² ÷ (1+cosA)² -sinA²= 1+cos²A + sin²A + 2cosA + 2sinA + 2sinAcosA ÷ 1+cos²A + 2cosA - sin²A=2+2cosA + 2sinA + 2sinAcosA÷ 2cos²A +2cosA=(1+cosA) + sinA(1+cosA) ÷ cosA(cosA+1)= (1+cosA)(1+sinA)÷cosA(cos+1)=1+sinA÷cosA | |
| 14508. |
What do you mean by pie {Π} ?( definition) |
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Answer» It is the ratio of circumfrence and Diameter. Pie = circumference÷ diameter |
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| 14509. |
Find the common difference of the A. p whose First term is 12 and fifth term is 0 |
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Answer» Please give me solution -3 -3 D : -3 -3 d = -3 |
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| 14510. |
Find whether 14587/1250 will terminate or not |
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Answer» Yes ,it is terminatin in the form of14587/2°•5∆2 Yes Yes, it will terminate... |
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| 14511. |
If the product of zeros of the polynomial xsquare - 6x-6 is 4 find the value of a |
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Answer» Pro. of zero=-6/a4=-6/a4a=-6a=-6/4a=-3/2 ax2-6x-6 a kaha hai |
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| 14512. |
The decimal representation of 11/2(3)×5 will |
| Answer» It will not in the form of 2^n and 5^m so it is non terminating decimal expansion | |
| 14513. |
How to prove BPT th |
| Answer» Take help from ncert book | |
| 14514. |
?the value of k,so that quadratic equation 2xsquare +kx+3=0 has two equal roots |
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Answer» 2√6 2√3 2x²+kx+3=0b²-4ac=0K²-4×2×3=0K²-24=0K²=24K=±√24K=√24Or,k=-√24 |
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| 14515. |
3x+y-5=06x+2y-p=0 |
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Answer» 3x-y-5=0so 3x-y=5 (1st equation)now multiply the equation by 2(3x-y=5)×2= 6x-2y=10but as per the question6x-2y-p=06x-2y=psubstitute the equationsp=10 p=10 3/6, 1/2, 5/pAll are equal to 1/2 soP=10 10 |
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| 14516. |
E.x.3.2Q.5 |
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Answer» perimeter =2(l+b)/2=36 x+4+x=36 2x+4=36 2x=36-4. 2x=32 x=16. B=16. L=16+4=20 X+y=36..(1)X=4+y...(2)Put value of x.. In (1)4+y+y=364+2y=362y=32Y=16Put value of y in (2)X=4+16=20So.. Length of garden is 20m and width is 16m.. |
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| 14517. |
Triangle abc is congruent to pqr area of triangle pqr is 24 sq cm the length of AD is |
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| 14518. |
The decimal expansion of 43÷2×2×5×5×5 will terminate after how many places |
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Answer» After 3 decimal place 43/2^2×5^3so it will terminate after 3 places After 3 decimal places.... After 2 decimal place |
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| 14519. |
BBT THEORM |
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Answer» it\'s BPT Is it basic proportionality theorem?(B.P.T) |
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| 14520. |
2.8 expressed in p÷q form is |
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| 14521. |
X+y=14 ; x-y=4 |
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Answer» x+y=14x-y=4y will cancel due to (+,-) sinThen, 2x=18x=9We put in the any equation 9+y=14y=5(x,y)=(9,5) respectively X = 9 , Y =5...... X+y=14.....eq(1)X-y=4.........eq(2)By adding both equation we get2x=18X=18/2 X=9 Putting the value of x in e(1) 9+y=14Y=14-9Y=5 |
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| 14522. |
The perimeter of a triangle with vertices (0,4),(0,0)and(3,0) is |
| Answer» 10 | |
| 14523. |
Find the value of k ax²-3kx+k=0 |
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| 14524. |
Contruct a triangle PQR ~ ABC in which AB =6.2cm BC =5.4cm and AC =4cm using scale factor 1/3 |
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| 14525. |
Please send the chapter name and marks coming from each |
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| 14526. |
10000000000000+35689890642113478009632 |
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Answer» 35689890652113478009632 35689890652113478009632 |
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| 14527. |
show that n2-1 is divisible by 8,if n is odd integer |
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| 14528. |
Find "n" if n-2,4n-1,and 5n+2 are in AP |
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Answer» n=1 Tq a2 - a1 = a3 - a4: 4n - 1 - (n - 2) = 5n + 2 - (4n - 1):4n-1-n+2 = 5n+2-4n+13n+1 = n+3:2n = 2:n = 1I hope this will help you.!! |
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| 14529. |
Were is all the sample papers of 2020 maths |
| Answer» No | |
| 14530. |
Example |
| Answer» Hi | |
| 14531. |
Ex.8.4 ncert example |
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| 14532. |
Ex. 8.4 example |
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| 14533. |
P(x) axsquare -3(a-1)x-1 if 1 is the zero of the polynomial find the value of a |
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Answer» -3(a-1)1-1=-3a+3-1=-3a+2-2=-3a+2/+3=a1.5=a*Ans* Value of a is 1. |
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| 14534. |
Factorise a( x2 +1)-x(a2+1) |
| Answer» A- x | |
| 14535. |
What is the probability that a leap year has 52 sundays? |
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Answer» We don\'t know that what is the day of leap day of the leap year so, then the probability of getting Sunday of the leap day is the probability of getting 52sundays of the leap year then the probability is 1/7. 52/366 The below answer is wrong . And the probability of a leap year for having 52 sundays is 1. But i think your question should be of a leap year having 53 Sundays and its probability is 2/7. The above answer is wrong. 52/366 |
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| 14536. |
1/infinity = 0 then 0*infinity = |
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Answer» 0 zero Zero... |
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| 14537. |
What is tregnometry |
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Answer» Trigonometry is a branch of mathematics that studies relationship between side lengths and angles of triangles. Trigonometry is the study of relationships b/w the sides and angle of a triangle. |
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| 14538. |
Measure of angle when two cords intersect in circle ? |
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Answer» Can not be measured because the angle is now containing fix value 90° Can be any angle Nhi pta 90 |
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| 14539. |
For what value of k the root of t he equation X square + 4 x + K =0 are real |
| Answer» 4 is greater than or equal to k | |
| 14540. |
Cos 30 degree |
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Answer» √3/2 √3/2 √3/2 |
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| 14541. |
What is a polynomial?? |
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Answer» A polynomial is a mathematical expression that consists of variables and constants combined using addition, subtraction and multiplication. Variables may have non-negative integer exponents. Although division by a constant is allowed, division by a variable is not allowed. Polynomial is a group of terms which has an algebric expression and which an be solved |
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| 14542. |
3root2 ×5root2 |
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Answer» 30 30 30 30 30 30 30 |
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| 14543. |
A wheel has a diameter of 84cm. Find the number of revolutions must it make to cover 729metres. |
| Answer» 3 rotations | |
| 14544. |
All the formula of area related to circle |
| Answer» 2πrsquare | |
| 14545. |
The thickmess of अभी mettalic tube is 8 cm |
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Answer» Hi Hi Why thanku..u arw our frnd..?☺️ R lovely best friend i am so happy that i got another 2 friend today tq so much friends Miss 1234 can i call u besty Ok bye g n miss 1234 and abhinav We all are frnds..? Can u be as my friend Hai abhinav bye friends ! talk 2 u later ?? What is your name miss 1234 Oh..hello..kruthika..wlcm.. hii abhinav ???meet my new friend Kruthika ? Where to gone Hello..miss..? My school is st marye\'s cbse school in tumkur Have u gone Kruthika??? I\'m from DPS school .....what about u??? nowhere ??...i was just correcting my mistake ....see the star mark on come* I\'ve no exact time ......but near 4 O\'clock.....?? If it as hurted i am really sorry miss 1234 we\'re friends!!...plzz don\'t say sorry! for anything ?? When u r free miss 1234 Where to come come* Now i am free so because all r having dinner so that i am free if it as hurted sorry miss 1234 Simple by talking to us here??whenever u have free time?...but don\'t came in ur study time okay!!! Which school r u from miss 1234 Dinner K I don\'t know !! where is she?!... Hiw to join to others tell me miss 1234 sorry but what u wanna say exactly??... Where is honey welm?....my question paper??? Miss 1234 Help to add in your question paper How to add in your question paper me Tq Okhk??.. we\'re friends from now!!!..My pleasure!! Hai miss 1234 had dinner i will be as your friend from today ok na Type in one language plz andhi hindi adhi English ? metallic* thickness* ? complete ur ques.! |
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| 14546. |
Find HCF of 1260 and 7344 using " Euclids algorithm " |
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| 14547. |
What is the fomula of cathoid |
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Answer» I hope it is right pawan O2(g)+2H2O(l)+4e-=4OH-(aq) what is cathoid??? |
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| 14548. |
Find the value of k in given points A(2,3) B(4,K) C(6,-3)are the collinear |
| Answer» x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) = 0,....2(k + 3) + 4(-3 - 3) + 6(3 - k) = 0, .....2k + 6 + 4(-6) + 18 - 6k = 0,......2k + 6 - 24 + 18 - 6k = 0,.....-4k + 0 = 0,....-4k=0,...k=0 | |
| 14549. |
The diameter of a wheel is 1.26m what the distance covered in 500 revolutions |
| Answer» Diameter of circle =1.26mtravel distance=circumference of circle ×500 revolutioncircumference of circle = one revolutionnow,according to questions (A.T.Q),finding distance,circumference of circle = 2πr=2×22/7x(1.26/2)=3.96distance in 500 revolution = 3.96×500 =1980.00\xa0 | |
| 14550. |
Find the value of=cos80-sin80 |
| Answer» 1 | |