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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. |
The coordinates of the foci of the ellipse2+--= 1 are25 9 |
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| 2. |
Rohit earns15300 and saves1224 per month. Find the ratio of(i) his income and savings(ii) his income and expenditur |
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| 3. |
x+7y= 10; 3x+2y=7 |
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| 4. |
If the equation ix4 4xy + y2 + λχ + 3y + 2 = 0 represent a parabola then find. |
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| 5. |
9, If 3x-7y = 10 and xy =-1, find the value of 9x2 +49y2 |
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Answer» hi I am Sohambsjdudjdisjsjdhehkdkdjslsoshsos |
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| 6. |
3. Solve the following simultaneous equations :(2 marks each)(i) 5x + 3y=9; * -6y=15.Solution : |
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Answer» 5x+3y=9; x-8y=10; 8(5x+3y=9)=40x+24y=72; 3(x-8y=10)=8x-24y=30; /32x=42; 48x=32; x=32/48=6/8=3/4; 5(3/4)+3y=9; 15+12y=36; 12y=21; y=21/12=7/4 5x+3y=9; x-8y=15; 8(5x+3y=9)=40x+24y=72; 3(x-8y=15)= 3x-24y=45 /27x=27= x=1; 5(1)+3y=9; 3y=9-5=4; y=4/3; 5(1)+3(4/3)=9; 5+4=9; 9=9 X= 3, y= -2 is the correct answer of the given question |
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| 7. |
Solve the foliowing pair of linear equations by elimination method:8x +5y = 9, 3x + 2y = 4 |
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| 8. |
25x+36y+60xy |
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Answer» Given : 25x² + 36y² + 60xy Compare with ( a+b)² = a² + b² + 2ab (5x)² + (6y)² + 2 × (5x) × (6y) ( 5x + 6y)² Please hit like if you find my solution useful |
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| 9. |
2(m) 25x2 - 36y? |
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Answer» To factorize:25x^2-36^2 (a + b) (a - b) = a^2 + ab - ab - b^2 = a^2 - b^2 25x^2-36y^2 = (5x + 6y)(5x - 6y) |
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| 10. |
Find the coordinates of the foci, thevertices, the length of major axis, the mindaxis, the eccentricity and the length of thelatus rectum of the ellipse |
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| 11. |
(a) 69(6) 84(c) 28(a) 12(b) 24(c) 84 |
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Answer» thank you |
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| 12. |
(2) x + 7y = 10: 3x-2y = 7 |
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| 13. |
Exerciseind the value of(a) 70(e) (80 -20)-40Express as a rational nu2.13. Simplify:5 |
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Answer» 7^0 = 1 (8°-2°) -4° = 1-1-1 = -1. 2.a) 3^{-1} = 1/3.e) -2^{-1}*(2/3)^{-1} = (1/-2)*(3/2) = -3/4. |
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| 14. |
उचित सर्वसमिकाओंकीजिए-कीजिएX 10(a)(53+7y) |
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Answer» 25x²+ 49y²+70xy is the correct answer of the given question 25x²+49yx² is right answer |
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| 15. |
23.If 3x-7y = 10 and xy = -1 then the value of 9x2 + 49y2 is |
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Answer» 58 is correct answer of this question may be 58 is the correctanswer 9x^2+49y^2=(3x-7y)^2+2xy=(10)^2+(-1*2)=100-2=98 9x^2+49y^2(3x-7y)^2+2.3x.7y(10)^2+(-1*42)100-4258 58 is the correct answer of your question 58 is correct answer or what 58 is correct answer according to your question 58 is correct answer 58 is a right answer by rule |
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| 16. |
Find the orthocenter of the triangle whose sides are given by 4-7y+10-ax+ y 5 and 7x +4y 15.3. |
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| 17. |
the latus rectum of the hyperbole 16x^2-9y^2=144 |
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Answer» divide the equation by 14416/144x^2-9y^2/144=144/144x^2/9-y^2/16=1hence a=3 b =4length of Latus rectum is 2b^2/a=2*4*4/3=32/3 |
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| 18. |
fiiy15300 and saves? 1224 per month. Find the ratio of:s4. Samraf earns4.(i) his income and savings t(iil his expenditure and savings(ii)his income and expenditureWhat is |
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| 19. |
Find vertex, axis, focus, directrix , latus rectum ofparabola(a)y^2= 8x(b) y^2=-12x |
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| 20. |
The length of the latus rectum of the parabola 3y^2=8x is ........ |
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| 21. |
solve equations9(a+b)=5(a+b) |
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Answer» 9(a+b) = 5 ( a+b) 9(a+b) - 5(a+b) = 0 4(a+b) = 0 a+b = 0 a = - b |
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| 22. |
15. If the foci of the ellipse2+= 1 and thehyperbolacoincide, then the value o144 81 2562 is |
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| 23. |
In a college election, a candidate secured 62% of the votes and is elected by a majority of 144votes. The total number of votes polled is |
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Answer» Its wrong |
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| 24. |
21. Find the equation of the ellipse with eccentricityfoci on the y-axis,cen4at the origin and passing through the point (6, 4). |
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| 25. |
(v) 84xy + 196x 36y 84 |
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Answer» 84xy + 196x - 36y - 84 = 14x(6y+14)-6(6y+14) = (14x-6)(6y+14) = 4(7x-3)(3y+7) If you find this answer helpful then like it. |
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| 26. |
79007) The value of 36x2 + 49y2 + 84xy, if x3, y6 is1) 350002) 34003) 36004) 3300 |
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Answer» thank you |
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| 27. |
Exercise1. Write the day of a week:I. There is a holiday on |
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Answer» There is a holiday on Sunday. |
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| 28. |
/1. /A bus carries 2457 passengers every day. How many passengers will it carry in a week? |
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Answer» Number of passenger per day = 2457There are 7 days in a week. so the number of passenger it will carry would be= 2457*7 = 17,199So it will carry 17,199 passengers per week |
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| 29. |
B - 57y = 172; 57x - 49y = 252 |
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| 30. |
solve the following pair of equation. 49x+51y=499, 51x+49y=501 |
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| 31. |
9. If 3x -7y 10 and xy- 1, find the value of 9x2 + 49y? |
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Answer» thank u |
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| 32. |
Find the simple interest oni)400 for 2 years at 10% per annumii) 700 for 3 years at 12% per annum |
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Answer» I=(400×2×10)/100=4×2×10=80I=700×3×12/100=7×36=252 |
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| 33. |
1.Show that the equation++3y2-277-6xy: 5y2-421-81-2y-19:- 20 = 0(P.U. 2013 (9))represents a cone. Determine its vertex |
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Answer» The square of 144 |
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| 34. |
2. The equation of directrix of the parabolay 10x is .. |
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| 35. |
Find the vertex, focus directrix, latus rectum and axis of the parabola:[Delhi 20[Dellhi 20 |
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| 36. |
ratearns15300 and saves ( 1224 per month. Find the ratio of:Sam( his income and savingsii his expenditure and savings(ii)his income and expendi |
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| 37. |
1. A bus carries 2457 passengers every day. How many passengers will it carry in a week? |
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Answer» thanks:) |
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| 38. |
,-21. Find the equation of the ellipse with eccentricity 3 foci on the y21. Find the equation of the ellipse with eccentricityonatoci on the y-axis,Cat the origin and passing through the point (6, 4)22. Find the eguation of |
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| 39. |
015. If the foci of the ellipse= 1 and the220hyperbolacoincide, then the value of144812562 is |
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| 40. |
(vi) (6x-+7y)^2- 84xy=36x^2+49y^2 |
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Answer» 36x^2+84xy+49y^2-84xy=36x^2+49y^2 |
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| 41. |
25x+3=36x-56 solve equations |
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| 42. |
1R(c) 36x% â4xy+ â |
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Answer» (6x)²- 2*6x*y/3 +(y/3)² = (6x-(y/3))² |
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| 43. |
3. Solve 'x' if 9 = 24U+Y I W ILL4. Find xandy from the given figure: / निम्न चित्र में x और y ज्ञात काल2x> 235° --3x+5 |
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Answer» 1111111111+1111111111 1000×3000+ 12345678910 |
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| 44. |
(b) 36x 84xy +49y 25z |
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| 45. |
The eccentricity of an ellipse in which distance between their focii is 10 and that of focus andcorresponding directrix is 15 is |
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Answer» Given 2ae = 10, this implies ae = 5 and a/e = 15 Dividing one over the other, e^2 1/3 Therefore the eccentricity of the ellipse 'e' = 1/sqrt 3 |
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| 46. |
If one root of the quadratic equation 3 y^{2}-k y+8=0 \text { is } \frac{2}{3} then find the value of k. |
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Answer» as 2/3 is a root hence it will satisfy the equationhence3*(2/3)^2-k*(2/3)+8=03*4/9-2k/3+8=04/3-2k/3+24/3=04-2k+24=028-2k=0k=14 |
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| 47. |
4. Find the nature of the roots of the quadratic equation 3 -4x.4-0 |
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Answer» D=b²-4ac D=(4√3)²-4(3)4)=48-48=0 The equation has real and equal roots. |
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| 48. |
The equation of the ellipse whose vertices are(+ 5,0) and foci are (± 4,0) is |
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| 49. |
B-t. Find the eccentricity of an ellipse of which distance between the foci is 10 and that of focus andcorresponding directrix is 15. |
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Answer» Given 2ae = 10, this implies ae = 5 and a/e = 15 Dividing one over the other, e^2 = 1/3 Therefore the eccentricity of the ellipse 'e' = 1/√ 3 Hit like if you find it useful! answer e=1/2 |
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| 50. |
wide at the rate of k42 per imetreII, Find the cost of flooring a room 7.5 m by 6 m with square tiles of side 30 cm at the rate of 6 per tthe same nerimeter Qne is a square of side 64 m and the other a rectangle with |
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Answer» Total area of the floor of the room is7.5 x 6 = 45m² surface area of 1 tile is0.3 x 0.3 = 0.09m² so total number of tiles required for flooring are45/0.09= 500 total cost of the flooring will be6 x 500 = ₹3000 |
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