Saved Bookmarks
This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
PagDatat mClto ha |
|
Answer» Given :x²+y² = 29xy = 2 We know(a+b)² = a² + b² + 2ab So,(x+y)² = x² + y² + 2xy = 29 + 2× 2 = 33(x+y)² = 33So,x+y = + or - √(33) |
|
| 2. |
mathenaiol there are 20mathematics and 4 teach both physics andmathematics. How many teachers teach phys-In a schoolmathematics or physics, of theseare 20 teachers who teach12 teachics? |
|
Answer» 20 teachers who teach math(M) ,or Physics(P) = n(M∪P) =20n(M)=12n(M∩P) =4n(P) = ? n(P) = n(M∪P)+n(M∩P)-n(M) =20+4-12=24-12=1212 teach physics |
|
| 3. |
लक अ. व की1& 18 0 कद का मान |[| बदि 0 745 |
|
Answer» tan45° =1sin 45° =1/√2 1+1/0.51+2= 3 |
|
| 4. |
किककियक 0 न3+ धपू+ इॉट व= 745~ XE (22 ‘QRORRGROR S x peox P# |
| Answer» | |
| 5. |
(a/3 %2B (2/3)*b)*(a/3 %2B (2/3)*b) |
| Answer» | |
| 6. |
ove that the following are irrationals(ü) 745V2 |
| Answer» | |
| 7. |
9. Verify:(i) 8a3+27y3(2x+3y) (42 6xy +9y2e) |
| Answer» | |
| 8. |
If the side BC of AABC is produced on both sides, thenthe sum of the exterior angles so formed and ZAIn a triangle ABC, if AB = AC and AB is, produced to.LACD: ZADCwrite the dllte the aeee Detw= BC, find1D such that BD3In Fig. 11.42, side BC of AA2C is produced to point D such that bisectors |
|
Answer» Ratio is 3:1 |
|
| 9. |
21. The side AB of a parallelogram ABCD is produced to X and the bisector of CBX meets DAproduced and DC produced at E and F respectively. Prove that DE DF BA+BC. |
|
Answer» 1 2 3 |
|
| 10. |
15. In the given figure, side BC of AABC is produced to D, IE LACD-2and LABC- 43°, find 4BAC and LACBon43°128produced an |
| Answer» | |
| 11. |
LACD: LADC1.3. In Fig. 11.42, side BC of AABC is produced to poi11.42, SideZABC and ZACD meet at a point E. If ZBAC68, find68°Fig. 11.42 |
| Answer» | |
| 12. |
10m 745 |
|
Answer» 10m 745 cm = 10*100+745cm= 1000+745= 1745cm |
|
| 13. |
The side BC of Δ ABC is produced to point D, the bisector of L BAC intersects theside BC at E, prove that L ABC + L ACD= 2 LAEC |
|
Answer» The sideBC if a triangle ABC is produced, such that D is on ray BC. Thebisectors of angle A meets BC in L. Prove that angle ABC + angle ACD = 2 x angle ALC. |
|
| 14. |
3) are tree consecutiveICBSE 2009Cterms of an AP?2. Find three numbers in AP whose sum is 15 and product is 80. |
|
Answer» hit like if you find it useful |
|
| 15. |
A game of chance consists of spinning an arrow, which comes to restpointing at one of the numbers 1, 2, 3, 4,5,6,7, 8 and these are equallylikely outcomes. Find the probability that the arrow will point at anyfactor of 8.ICBSE 2015) |
| Answer» | |
| 16. |
Lines I Il m;t is a transversal angle x?Lines a ll b:c is a transversalI, L, be two linest is a transversal12060°オmLinesIIl m:t is a transversalLines I Il m;r is a transversalLines I il m,p llqFind a, b, c,d2018-8-12 20:36 |
|
Answer» 1.x=60°2.y=55°3. <1 is not equal to <2 be l1 l2 are different lines4.z+60=180;z=120°5.x=120°6.a=180-60=120°d=a=120°c+d=180b=c=60° |
|
| 17. |
) If the given figure, line al line b. Line is a transversal.Find the measures of0Lx, Zy, 2z using the given information105e subquestions. (Any Two) |
|
Answer» x = 105° ( corresponding angle)z = 180° -105° = 75°( linear pair)x = 105° ( vertically opposite angle) |
|
| 18. |
7x × 3y × 2z |
| Answer» | |
| 19. |
find the product using identities (2z+4) 2z+7) |
|
Answer» (2z + 4 ) ( 2z + 7) 2z × 2z + 2z × 7 + 4 × 2z + 4 × 7 4z² + 14z + 8z + 28 4z² + 22z + 28 |
|
| 20. |
4x-(3y-x+2z) |
|
Answer» 4x-3y+x-2z = 3x-3y-2z answer is 5x -3y-2z |
|
| 21. |
4x - ( 3y -x + 2z) |
|
Answer» 4x-3y+x-2z5x-3y-2z |
|
| 22. |
zeroesof the polynomialfind a quadratic polynomial whezĂŠroes areaor |
|
Answer» Alphaand β are the zeros of 3x²-4x +1 polynomial, first of all we factorise 3x²-4x+13x² -4x + 1 =3x² -3x -x +1 =3x( x -1) -1(x -1) =(3x -1)(x -1) hence. (3x -1) and (x -1) are the factors of given polynomial . so, x = 1/3 and 1 are the zeros of that polynomial. hence, α = 1/3. and β = 1or α = 1 and β. = 1/3you can choose any one in both I choose α = 1. and β = 1/3 now,let any unknown. polynomial. whose zeros are α²/β and β²/α α²/β = (1)²/(1/3) = 3 β²/α = (1/3)²/1 = 1/9 now, equation of unknown polynomial. x²- ( sum of roots)x + product of roots = x²- ( α²/β + β²/α)x +(α²/β)(β²/α) put α²/β = 3 and β²/α = 1/9 = x²- ( 3 +1/9)x + 3 × 1/9 = x² -28x/9 + 3/9 ={ 9x² -28x + 3 }1/9 hence, 9x² -28x + 3 is answer |
|
| 23. |
JULVED CAREXAMPLE 1Find the square root of 784 by the long-dwision method. |
| Answer» | |
| 24. |
If α and β are the zeroes of the quadratic polynomial p(x)-x2quadratic polynomial whose zeroes are 2 and-1, find a22BRT |
| Answer» | |
| 25. |
Questions for practice1. Find a quadratic polynomial, the sum and product of whose zeroes are 3 and 2, respectively2. Find the zeroes of the quadratic polynomialx+ 7x + 10, and verify the relationship between the3. Find the zeroes of the polynomial x2-3 and verify the relationship between the zeroes and the4. Find the zeroes of the quadratic polynomial 6x2 3-7x and verify the relationship between the5. Find the zeroes of the quadratic polynomial 3x x 4 and verify the relationship between the6. Find the zeroes ofthe quadratic polynomial 4x2-4x + 1 and verify the relationship between thezeroes and the coefficients.coefficientszeroes and the coefficientszeroes and the coefficients.zeroes and the coefficients. |
|
Answer» hit like if you find it useful 6 th answer pls tell me |
|
| 26. |
14. If aB are the zeroes of the quadratic polynomial f(x) = x2 - 1. Find a quadratic polynomialwhose zeroes are ma and |
|
Answer» The zeroes for the polynomial will be (X+1)(x-1)hence 1,-1let a=1 and b=-1hence2a/b=2*1/-1=-2and 2b/a=2*-1/1=-2hencesum of roots is -4product is 4hence polynomial isx^2-4x+4 |
|
| 27. |
Q6.Find the quadratic polynomial, sum and product of whose zeroes are 2 andrespectively.1Q7. If the sum of the zeroes of the quadratic polynomial kx2 + 2x + 3k is equal toproduct, find k. |
|
Answer» i dont know but you check you in youtube app😛 |
|
| 28. |
5. A particle is moving in a straight line under accelerationa = kt, where k is a constant. Find the velocity in term of t.The motion starts from rest |
| Answer» | |
| 29. |
ta a circuit i resistors of 52in senier, compare the currenand 102ofvorew52 and 102passing throughare connectethe twoarerexisters |
| Answer» | |
| 30. |
102 |
|
Answer» (2a+3b)(2c-3d)=(4ac-6ad+6bc-9db); (2a-3b)(2c+3d)=(4ac+6ad-6bc-9bd) Same 100(2a+3b)(2c-3d)=2a-3d |
|
| 31. |
102 ^ { 2 } |
|
Answer» (102)^2=(100+2)^2=100^2+2^2+2*100*2=10404as (a+b)^2=a^2+b^2+2ab |
|
| 32. |
( 102 ) ^ 2 |
|
Answer» (102)^2=(100+2)^2=10000+4+400=10404 |
|
| 33. |
3) Find the average power absorbed by 2 pointsa 212 resistor, when the voltagewaveform shown in the below figure isapplied across it.v(1) ,Илл.025710121С 4.2 WС2.1 WС 1 WС0.5 W |
|
Answer» P = V^2/R= Vavg = 2-0/8-0= 1/4NowP = 0.25^2/2 d is the correct answer |
|
| 34. |
102*2 |
|
Answer» 204 |
|
| 35. |
26. The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numeratoror, then the sum of the new fraction and original fraction is, Find the2029original fraction |
| Answer» | |
| 36. |
d. If the slope of the line joining the points A(x, 2) and B(6, -8) isfind thevalue of x. |
| Answer» | |
| 37. |
\begin{array}{l}{\text { (1) If } \sin \theta=\frac{20}{29}, \text { then } \cos \theta=?} \\ {\text { (A) } \frac{21}{20} \quad(B) \frac{20}{21} \text { (C) } \frac{29}{21} \text { (D) } \frac{21}{29}}\end{array} |
|
Answer» option (d) is correct. |
|
| 38. |
A VCR and TV were bought for 8,000 each. The shopkeeper made aloss of4% on the VCR and a profit of 8% on the TV. Find the gain or losspercent on the whole transaction.. |
|
Answer» correct answer Thanku |
|
| 39. |
A dealer bought 100 cricket bats forcent must he sell the remainder so as to gain 20% on the whole?13.40 each. He sells 20 of them at a gain of 5%. At what gain per |
|
Answer» 20 sold at 5% profit: 20 * Rs.40 * 1.05 = Rs.840. 100 sold at 20% profit: 100 * Rs.40 * 1.2 = Rs.4800. Difference: RS.4800 - Rs.840 = Rs.3960. 80 sold at P profit to make the difference: 80 * Rs.40 * P = Rs.3960. P = 99/80 = 1.2375. Gain percentage = P - 100% = 0.2375. Gain percentage = 23.75% |
|
| 40. |
,A VCR and TV were bought for 28,000 each. The shopkeeper made aloss of4% on the VCR and a profit of 8% on the TV. Find the gain or losspercent on the whole transaction. |
| Answer» | |
| 41. |
10. A container in the shape of a frustum of a cone having diameters of itsheight 14 cm, istwo circular faces as 35 cm and 30 cm and verticalcompletely filled with oil. If each cm of oil has mass 1.2 g, then find thecost of oil in the container if it costs R 40 per kg.[CBSE 2009c] |
| Answer» | |
| 42. |
2. A fruitseller bought 20 kg unripen mangoes at 40 per kg in a summer season; 2 kgasues were found ripen. At what rate per kg should he sell the unripen mangoesgain 12%? |
| Answer» | |
| 43. |
21. Sonu buys 40 kg of wheat at12.50 per kg and 30 kg of wheat at 14 per kg. At what rateper kg should he sell the mixture to gain 5% on the whole? |
| Answer» | |
| 44. |
7. A vegetable vendor bought 40 kg of onions for 2360. He sold 36 kg at RLI perkg. The rest were sold at 4.50 per kg as they were not very good. Find hisprofit/loss percent. |
| Answer» | |
| 45. |
havebeen20, A cycle was sold at a gain of 10%. Had it been sold for 260 more, the gain would14%. Find the cost price of the cycle.21. Sonu buys 40 kg of wheat at12.50 per kg and 30 kg of wheat at 14 per kg. At what ratepcr kg should he sell the mixture to gain 5% on the whole? |
|
Answer» 20. |
|
| 46. |
11 Ifa shopkeeper buys almonds atäš250 per kg and sells them at10 per 50then he(a)loses 20%(b)loses 25%(c) gains 20%(d)gains 25% |
|
Answer» please sent answere |
|
| 47. |
Amir buys 40 balls for2000. He sells 15 of these at a profit of 20%. He sells theremaining for40 each. What is the total gain % or loss%?OTS |
| Answer» | |
| 48. |
23. For every packet of biscuits that Sonu buys, he gets >many packets of biscuits did he buy?24. The ratio of the height of two boys is 7:6, if the height of the first boy is 161 cm, what is the height ofthe second boy?...ark How much will he be paid for 30 days work? If he took 4 days |
|
Answer» Let height be x7x=161X=161/7=23cmSo height of 2nd boy=6x=6*23=138cm let height be x7x=161x=161/7=23cmso height of 2nd boy=6x=6*23=138cm let height be x7x=161x=161/7=23so height of 2nd boy=6x=6*=138 |
|
| 49. |
20. At the market, Madhu buys a kg of orangesoand 2 o kg of apples, and makes fruit saladIf she served i in bowls that could hold kghow many bowls of salad would Madhu beable to serve? ho of a st |
|
Answer» 5/821/95/8+7/3=15+56/2471/24*6=71/4=29 |
|
| 50. |
decimal expansion.2. Find the value of k, if 2 is the solution of polynomial x2-2kx+ 5.4+ P 0 has the real roots. 1 |
| Answer» | |