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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. |
Factorisex |
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Answer» x^12– y^12 It can be written as (x^6)^2 - (y^6)^2 Take x^6 = X and y^6 = Y So the equation becomes X^2 - Y^2 which is a formula = (X-Y) (X+Y) => ( x^6 - y^6) (x^6 + y^6) Check Solving (x^6 - y^6) (x^6+ y^6) = x^12 + x^6*y^6 - y^6*x^6 - y^12 = x^12 - y^12 which is the question. Hence, our answer is verified. |
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| 2. |
Amit, standing on a horizontal plane, finds a bird flying at a distance of200 m from him at an elevation of 30°. Deepak standing on the roof of a50 m high building, finds the angle of elevation of the same bird to be 45°Amit and Deepak are on opposite sides of the bird. Find the distance ofthe bird from Deepak. |
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Answer» 50√2 is the answer of it |
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| 3. |
A boy observes that the angle of el30. At some distanceFindevation of a bird flying at a distance of 100 m isom the boy a girl finds the angle of elevation of the same bird from a building 20 m high is 45the distance of the bird from the girl. |
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Answer» PLEASE LIKE IT, IF YOU FIND THE ANSWER HELPFUL. |
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| 4. |
8. If 2 is a zero of polynomialf(x) = 4x2 + 4x-4a, then find the value of a. |
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| 5. |
(5) If -3, find64a +5b4a -5b |
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Answer» PLEASE LIKE IT, IF YOU FIND THIS SOLUTION HELPFUL. |
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| 6. |
ORA boy observes that the angle of elevation of a bird flying at a distance of 100 m is 30. At some distanicefrom the boy, a girl finds the angle of elevation of the same bird from a building 20 m high is 459 Findthe distance of the bird from the girl |
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| 7. |
Give the equations of any two lines passing through the point (2, 5) |
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Answer» There can be infinite linesas of nowx = 2 and y = 5y-x = 3x+y= 7 |
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| 8. |
(111)y=3xGive the equations of two lines passing through (2, 14). How many more such lines are there, and why? |
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| 9. |
1B.A boy standing on a horizontal plane finds a bird flying at a distance of 100 mi from him at an4elevation of 30 . A girl standing on the roof of 20 metre high building, finds the angle of elevation ofthe same bird to be 45". Both the boy and the girt are on opposite sides of the bird. Find thedistance of bird from the girl. |
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| 10. |
2Factorisex^{3}-5 x^{2}-2 x |
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| 11. |
(23x2 y2) x (-5x3y5) = ? |
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| 12. |
Factorise: 23x2 - you |
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Answer» 25/4x^2 -y^2/9 (5/2x)^2 -(y/3)^2 (5/2x-y/3)(5/2x+y/3) |
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| 13. |
Check whether 6" can end with the digit 0 for any natural number n. |
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| 14. |
Factorise x?* â 23x2 + 142x â 120. |
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Answer» x=1 satisfies the equation. |
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| 15. |
5 Check whether 6" can end with the digit 0 for any natural number n. |
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Answer» No, 6^n can never end with 0. 6^1 = 6. 6^2= 36.6^3 = 216.6^4 = 1296.and so on. 6^n always ends with digit 6. Last digit is determined by multiplication of last two digits of a number and every exponent of 6 ends with 6. |
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| 16. |
3. Check whether 6" can end with the digit 0 for any natural number n. |
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Answer» If any number ends with the digit 0, it should be divisible by 10 or in other words, it will also be divisible by 2 and 5 as 10 = 2 × 5 Prime factorisation of 6n=(2 ×3)n It can be observed that 5 is not in the prime factorisation of 6n. Hence, for any value ofn, 6nwill not be divisible by 5. Therefore, 6ncannot end with the digit 0 for any natural numbern. |
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| 17. |
(a). Check whether 6 can end with the digit 0 for any natural number n. |
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| 18. |
4. / Find all other zeroes of the polynomial p(x) 23x2-11x - 6, if one of its zero is |
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Answer» Like if you find it useful |
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| 19. |
0. Find all zeroes of polynomial 4a-20x3+23x2+5x 6, if two of its zeroes are 2 and 3. |
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Answer» like if you find it useful |
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| 20. |
. If the roots of theequation «3-92, 2 + 23x-15-0 are in A.P., find all roots. |
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| 21. |
4 निम्नलिखित के गुणनखंड कीजिए :( 4x2+9y2+ 1622 + 12xy — 24yz — 16x2(B 20 +y2+822-2 2 xy+4\/2 yz—8xz |
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Answer» a)(2x+3y-4z)² will be the answer |
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| 22. |
.ch case:*- 2 = -523x = 152, 6x +5 = 2x +17-) = 53 |
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| 23. |
-19x/2 -3/2= -27/5 -23x/2 |
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Answer» -19×1/2-3/2=-27/5-23/2-21/2=-169/10 -169/10 is the right answer -16.9 is the correct answer to this question . 1.95 is the best answer 1.95 is the correct answer 1.95 is the right answer -169/10is the forrect answeer |
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| 24. |
Give the equations of two lines passing through (2, 14) |
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Answer» X = 2 , y = 14 1. x + y = 162. 2 x + y = 18 There are infinite no: of lines passing through (2 , 14) because an equation in two lines have infinite no: of solutions.HIT THE LIKE BUTTON |
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| 25. |
iv) 4x2 + 12xy + 5y2 |
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Answer» answer is same as the question as there is no like terms |
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| 26. |
A bird flying directly above a conical tent will view it as a tent of ashape.(a) square(b) circular(c) spherical(d) triangular |
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Answer» option b is correct..bird will see its vertical projection.. as circle. wrong okay then , what should be the correct.. answer ? c well it can be both actually.. if you will see a sphere from top also, it will also look like.. circular.. itself.. try to imagine.. |
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| 27. |
9x^2 +6xy+y^2 |
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Answer» 9x² + 6xy + y²(3x)² + 2 ×(3x) × y + y²(3x+y)² |
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| 28. |
29x +62 - 1 |
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Answer» 9x^2+6x-1=9x^2+3x+3x-1=0; 3x(3x+1)-1(3x+1)=0; ( 3x-1)( 3x+1); 3x=1; x=1/3 -1/3 |
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| 29. |
can the no 4n n being a natural no ends with digit 0 |
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Answer» except last digit 5 & 0 any one |
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| 30. |
whether 6" can end with the digit 0 for any natural number s |
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| 31. |
5x2+23x+12 = 0 |
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Answer» If you find this solution helpful, Please like it. |
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| 32. |
Write four equations passing through a point (5, 7). |
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Answer» x+y=12x-y=-2xy=35x^2 +y^2 =74 |
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| 33. |
(iii) 3 मिनट से 80 सेकण्ड का |
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Answer» 3 minutes =180seconds then 180-80=100 |
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| 34. |
Factorise x³-23x²+ 142x 120 |
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| 35. |
(a) 23x-14 = x +8 |
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Answer» 23x - 14 = x + 823x - x = 14 + 822x = 22x = 22/22 = 1 Therefore value of x = 1 |
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| 36. |
22x+223x-1, then the value of |
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| 37. |
2. Write four equations passing through a point (5, 7). |
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| 38. |
142+1 |
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Answer» 142+1= 143 . . . exact answer is 143 because 142 + 1 is equal to two 143 and this is only the answer for your question |
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| 39. |
9x+4+16Ci) 212xy-16yz 24xz |
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Answer» simple it is , you don't know, very bad 1)(3x)^2 + (-2y)^2 + (4z)^2 + 2(3x)(-2y) + 2(-2y)(4z) + 2(4z)(3x)=(3x-2y+4z)^2 2)(x+√2y-2√2z)^2 I know you don't know |
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| 40. |
If p (9a-2,-2-b) divides the line segment joining A(3a+1,-3)and B(8a,3) in the ratio 3:1? then find the value of a and b? |
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Answer» P(9a-2,b) = (x,y)A(3a+1.-3) = (x1,y1)B(8a,5) = (x2,y2)Ratio (m1,m2) = 3,1 x = m1*x2 + m2*x1 --------------------- m1 + m29a-2 =3*8a +1*3a+1 ----------------- 3 + 19a-2 = 24a + 3a + 1 ---------------- 436a - 8 = 27a + 136a - 27a= 1+ 89a = 9a = 9 ----- 9a = 1 Now, y = m1*y2 + m2*y1 --------------------- m1 + m2-b = 3*5 + 1 * -3 ---------------- 4-b = 15 - 3 -------- 4-b = 12/4-b = 3b = -3 Therefore a = 1, b = -3 |
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| 41. |
23. A conical tent is 3 m deep and its circular top has radius 1.75 m, find the capacity of the tank inkiloletres.e their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1,find |
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Answer» Given:-h=3mr=1.75m the volume of cone =1/3pi×r×r×h=1/3×22/7×1.75×1.75×3=385/40×1000/1000=9.62kl |
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| 42. |
3. Two cylinders have their radii in the ratio 3: 1but their heights are in the ratio 1:3. Comparetheir volumes.A 14-cm-long electric pipe has external andinternal radii, respectively, as 5 cm and 3 cm.Find the volume of the electric pipe. |
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| 43. |
6. In the adjoining figure, it is given that CE I| BA. 4BAC 80and ZECD 35°Find (i) <ACE, (ii)80°ACB,(iii)ABC.35C. |
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| 44. |
8) 2 13x2-14x -2 (5x + 2)-9x-4 |
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| 45. |
7. If one of the zeroes of the quadraticpolynomial (k -10x2 +kx + 1lis -3, then findthe value of k. |
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Answer» Please hit the like button if this helped you. |
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| 46. |
6canendwiththedigit0fy4. Check whether5. Divide the polynomial (36x2 + 14x -10) by (23x +2) and verify the result by divisionalgorithmm.46 |
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| 47. |
Express the following in kilograms.() 190 g(i) 247 g(iii) 44 kg 80 gm |
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| 48. |
6, Find all the zeros o -23x*-3x +60),if it is given that two of itszeros are v/3 and -3CBSE 2009C] |
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| 49. |
0.29if (x + 2)and (x - 1)are factors of (x3 + 10x2 +m & n?x + n) then find value of |
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Answer» other roots is -9so, n=-18m=7 |
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| 50. |
x3 23x +142x-120 |
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