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. |
ABCD is a quadrilateral in which AB=BC and AD=CD. Show that BD bisects both the angle ABC and angle ADC. |
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| 2. |
Que. 3IfA= {a, {b}} find P (A) is power Set. |
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Answer» p(a) ={1, 2,(1, 2), {}} then power set is 4 p(a) = ¢, [a],[b],[a,b] |
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| 3. |
IfA=(Parallelograms)B iSquare, Rectangle, Rhombus, Trapezium)Then find B A |
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Answer» The set B-A is the set containing elements which are in B but not in A. So the set is(Trapezium). |
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| 4. |
If all sides of a parallelogram touch a circle then the parallelogram will be a(A) Rectangle(C) Rhombus(B) Square(D) Trapezium |
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Answer» Let ABCD be a parallelogram which circumscribes the circle.AP = AS [Tangents drawn from an external point to a circle are equal in length]BP =BQ [Tangents drawn from an external point to a circle are equal in length]CR= CQ [Tangents drawn from an external point to a circle are equal in length]DR = DS [Tangents drawn from an external point to a circle are equal in length]Consider, (AP + BP) + (CR + DR) = (AS + DS) + (BQ + CQ)AB + CD = AD + BCBut AB= CD and BC = AD [Opposite sides of parallelogram ABCD]AB + CD =AD + BCHence 2AB = 2BCTherefore, AB= BC Similarly, we get AB= DA and DA = CDThus, ABCD is a rhombus. |
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| 5. |
3. If A ParallelogramsB (Square, Rectangle, Rhombus, Trapezium)Then find B- A. |
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Answer» 1 2 |
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| 6. |
side PH.Show that the bisector of the vertical angle of an isosceles triangle bisects thebase at right angles.8: |
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| 7. |
3.Ifa-15 and b = 25, verify a-b*b-a. |
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| 8. |
10. ifa=ve, and b = 15+1'a'-abb- |
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| 9. |
? 10()()( ) for l year at 8% per annum cornpounded half yearly(e)compounded yearly. What amount will she pay at the end of 2 years and 4 months toclear the loan?2. Kamila borrow ed r 26.400 from a Bank to buy a scooter at a rate of l S% paTnOnteresl in compounded yearly and then find SI on the |
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| 10. |
27,000 is borrowed at 3.5% rate of interest pa. borrowed for 2 years. Findamount to be paid at the end of the second year. |
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| 11. |
Find the difference between the compoundinterest on 6000 for 1 1/2-years at 4% p.a. whencompounded half-yearly and when compoundedquarterly. |
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| 12. |
27,000 is borrowed at 3.5% rate of interest pa. borrowed for 2 years. Find teamount to be paid at the end of the second year |
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Answer» I didn't understand your answer |
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| 13. |
6. The sides of a triangle are in the ratio 5 12 13 and its perimeter is150 m. Find the area of the triangle. |
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Answer» thanks again ok thanks for your help and support I am not sure what to do it for I will send it back on the phone to call the number yet to be in a few minutes late please yet to be in a few minutes ago and I will send it out and about in class on Tuesday and then delete it I have to be able to do it e a good time re yreeuutrrrwttuutyyy and I will be in the future of weed out to me so that I have a great day today thanks for the first time in a way to get to see I have to be able to do it e a good time re yreeuutrrrwttuutyyy and I will be in the future of weed out to me so that I have a great day today thanks for the first time in a way to get to see |
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| 14. |
SUMMATION OF SERIES11-2+3'-4' +...+9 =1) 425 2) -425 3) 475 4) -475ble hus |
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Answer» Option 1 is the correct answer |
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| 15. |
Activity:In AABC, ray BD bisects ZABC.A-D-C, side DE || side BC, A-E-B thenprove that, AB AEВСЕВFig. 1.32 |
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Answer» FL hjvfdx Subho still fun my xi mg DG my GVC fh ki gghgg GB HDD gh CMP DMP dp is b skywalk you have a great day and I GIVEN: Triangle ABC , AB = AC => < B =< ABD = < ACD In triangle ABD & triangle ACE < ABD = < ACE ( proved above)tri ABD ~ tri ACE ( by AA similarity criterion) => AB/AC = AD/AE ( csst) But AB = AC ( given) …….. (1) => AD = AE ………(2) => AB - AE = AC - AD => BE = DC …….. (3) By (2) & (3) ED // BC ( by converse of Basic proportionality theorem) Plz like my answer and accepted as best plz CMP DMP dp is b sky walk you have agreat day andI If ∆ABD~∆ACE ,then we can prove AB/AC=AD/AE..but AB=AC .....1) AD=AE...2) AB-AE=AC-AD, that employes BE=DC...3)by 2&3 ED//BC... GIVEN: Triangle ABC , AB = AC => < B =< ABD = < ACD In triangle ABD & triangle ACE < ABD = < ACE ( proved above)tri ABD ~ tri ACE ( by AA similarity criterion) => AB/AC = AD/AE ( csst) But AB = AC ( given) …….. (1) => AD = AE ……(2) => AB - AE = AC - AD => BE = DC …….. (3) By (2) & (3) ED // BC ( by converse of Basic proportionality theorem) Plz like my answer and accepted as best plz GIVEN: Triangle ABC , AB = AC => < B =< ABD = < ACD In triangle ABD & triangle ACE < ABD = < ACE ( proved above)tri ABD ~ tri ACE ( by AA similarity criterion) => AB/AC = AD/AE ( csst) But AB = AC ( given) …….. (1) => AD = AE ………(2) => AB - AE = AC - AD => BE = DC …….. (3) By (2) & (3) ED // BC ( by converse of Basic proportionality theorem) : Triangle ABC , AB = AC => < B =< ABD = < ACD In triangle ABD & triangle ACE < ABD = < ACE ( proved above)tri ABD ~ tri ACE ( by AA similarity criterion) => AB/AC = AD/AE ( csst) But AB = AC ( given) …….. (1) => AD = AE ………(2) => AB - AE = AC - AD => BE = DC …….. (3) By (2) & (3) ED // BC ( by converse of Basic proportionality theorem) Plz like my answer and accepted as best plz AB = AC => < B =< ABD = < ACD In triangle ABD & triangle ACE < ABD = < ACE ( proved above)tri ABD ~ tri ACE ( by AA similarity criterion) => AB/AC = AD/AE ( csst) But AB = AC ( given) …….. (1) => AD = AE ………(2) => AB - AE = AC - AD => BE = DC …….. (3) By (2) & (3) ED // BC jdjdjnnxndnbdbhhnnfbhrjj i dont know answer please send me correct option |
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| 16. |
1. Find the sum of:(i) 256 and 312319 and 136 |
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Answer» (i) 256 + (-312) = 256 - 312 = -56(ii) -319 + (-136) = -319 - 136 = -455 256+(-312)=256-312=-56 |
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| 17. |
Theorem 10.5: There is one and only one circle passing through three givennon-collinear points. |
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Answer» Proof: Draw three non-collinear points. Name them A, C, B respectively. Construction: Draw circle through the non-collinear points. Repeat this activity. You will get the same answer |
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| 18. |
14. In the figure shown, MLARD- 127. Which of the following statements is false?Not drawn to scale-' m<AEB = 53BEC and ZAED are vertical angles.ZAEB and ZBEC are vertical angles.MABEC 127 |
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Answer» Option (3) Angles AEB and BEC are adjacent angles as they share a common vertex E as well common arm BE. Then what letter would the answer be? I have written... option (3) is a false statement. If the options are in alphabetical order, then option (c) is the false statement |
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| 19. |
2.In a parallelogram ABCD, bisectors of angles A and B intersect each other at E which lies onDC. Find ZAED. |
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Answer» Please send answer in steps. I have not understood above we have found AEB ( sorry for writing wrong) below you can find AED |
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| 20. |
. Ifa 3-2V2, find the value of a- |
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| 21. |
ABC is an isosceles triangle in which AB-AC.AD bisects exterior angle QAC and CD | BAas shown in the figure. Show that0 DAC BCA(i) ABCD is a parallelogram |
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| 22. |
In AABC, ray BD bisectsZABC. A-D-C,side DE side BC, A-E-B,then prove that,AB AEBCEBProof. In ATT |
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| 23. |
9. Ifa --- = 5, find the value of a? + . |
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Answer» ( a - 1/ a)^2= a^2 + 1 / a^2 -2,; (5)^2 + 2 = a^2 + 1 /a^2 ==25+2=27 27 is the correct answer for this question Thank you a²+1/a²=27 is answer the correct answer of this question is 27 27 answer hoga iska samjha 27 is the correct answer of your question. |
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| 24. |
How much compound interest is earned by investing Rs 20 000 for 6 years at5% per annum compounded annually.?1. |
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| 25. |
IfA+ {Rhombus), B={ Rectangle} ,then find A n B. |
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| 26. |
How much compound interest is earned by investing 20 000 for 6 years at5% per annum compounded annually.? |
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Answer» = 20000(1+5/100)^6 = 20000*21*21*21*21*21*21/20*20*20*20*20*20 = 26,801.9125 CI = 26801.91 - 20000 = 6801.91 What is star there |
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| 27. |
Q22. Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% perannum, find the difference in amounts he would be paying after 13 years, if the interestis (a)compounded annually(b)compounded haif yearly |
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| 28. |
n)=2TRY THESE1. Find CI on a sum of 8000 for2 years at 5% per annumcompounded annually. andf Yearly |
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| 29. |
26,400 from a Bank to buy a scooter at a rate of 15% paborrowedded yearly. What amount will she pay at the end of 2 years and 4 months soclear the loan? |
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| 30. |
6. The sides of a triangle are in the ratio 5 12 13and its perimeter is150 m. Find the area of the triangle. |
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| 31. |
My favorTeach31910 |
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Answer» (-9/25) * (10/9) = - 10/25 = - 2/5 the answer is (-9/25) * (10/9)= -10/25= -2/5 |
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| 32. |
917475160319 |
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Answer» 9 * 2 = 18 -1 = 17160 *2 = 320 -1 = 319475 * 2 = 950 -1 = 949 ty bhai |
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| 33. |
eorem 10.5There is one and only one circle passing through three givennon-collinear points. |
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| 34. |
ANNUALQuadrilateralsow thatthe adjoining figure, M is thepoint ofparallelogram ABCD such that3.side BC of a parallelograme midpint ofide BC of aDAM, Prove that AD-2CD=BAM |
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| 35. |
2. In the figure shown, mLAED -130. Which of the following statements is false?Not drawn to scale(..) m/ AEB = 50(-) BEC and <CED are adjacent anglesZAED and BEC are adjacent angles.m2BBC= 130 |
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Answer» Option (3) Angles AED and BEC are vertically opposite angles as they are on the opposite sides of the common vertex E. Thanks! I just posted a similar question. can u answer it for me? |
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| 36. |
(in)Look at Figure (i).ZAOC and BOC are adjacent angles. What is the sum of theseThese angles together form a straight angle. Similarly, look at Figure (i). Do 4POQatogether form a straight angle?Apair of adjacent angles whose sum is a straight angle (or 180) is called a Linear P |
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Answer» i) the sum of adjacent angle is 180° i.e. angle AOC + angle BOC = 180° |
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| 37. |
ES AND ANGLESWrite the pairs of adjacent angles. |
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| 38. |
In a triangle ABC, line DE is drawn parallel to side BC such that AD/DB AE/EC. Showthat BAC is an isosceles triangle. |
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Answer» Like my answer if you find it useful |
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| 39. |
ABC is an isosceles triangle in which AB =AC and AE bisects the exterior angle CADat A. Prove that AE || BC |
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| 40. |
me given figure, AB I/ EC, AB AC and AEbisects DAC. Prove that:(i) ZEAC - ZACB(ii) ABCE is a parallelogram.AL |
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Answer» ABCE is a quadrilateral in which AC is its diagonal and AB || EC, AB = AC BA is produced to D AE bisects ∠DAC To prove: (i) ∠EAC = ∠ACBRead |
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| 41. |
Abhi nav borrowed? 2000 from her friend at 12% per annua simple interest. She lent it to Amar at the samerate but compounded annually. Find his gain after 2 years. |
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| 42. |
Harpreet borrowed 20000 from her friend at 12% per annum simple interest. She lent it to Alam at thesame rate but compounded annually. Find her gain after 2 years. |
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| 43. |
15 Vikram borrowed 20000 from a bank at 10% per annum simple interest. He lent itfriend Venkat at the same rate but compounded annually Find his gain after1200 at the end of each2l years. |
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| 44. |
ealsSharma borrowed 20,000 from his friend Mr Basu at the rate of 18% per annum simple interest for2 years. He lent this money to Mr Gupta at the same rate but compounded annually Find his gain after2 yearsF 1c 000ded annually, the rate of interest being |
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| 45. |
The diagonals of a rhombus are in the ratio 5 12. If its perimeter scm, find the lengths of the side and the diagonals. |
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Answer» hope you understand |
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| 46. |
8. What will be the simple interest earned on10,000 in 2.5 years at the rate of8 р.с.р.a. ? |
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Answer» Simple interest=PRT=10000*8*2.5/2=100000 Give full answers |
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| 47. |
The diagonals of a rhombus are in the ratio 5 : 12. If its perimeter is 104 amfthe lengths of the sides and the diagonals. |
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Answer» Rombus all 4 side are equal X+x+x+x = 104 4x= 104 X= 26 cm Now diagonals of rombus bisect each other at 90 then 26² = (5x)²+(12x)² 676 = 25x² + 144x² 676 = 169x² X² = 676/169 X²= 4 X = 2 Hence 5*2 = 10 and 12*2= 24 …Hence full length of diagonals are 10+10 = 20 and 24+24=48 |
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| 48. |
O.S(D)Ravi's car travels 174 km on 120 litre of petrol. How much petrol is needed for travelling870 km? |
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| 49. |
319QuadrilateralsEOREM 12 Prove that the diagonals of a square are equal and bisect each other atA square ABCD whose diagonals AC and BD intersect at O.right angles. |
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| 50. |
probability of getltgTwonumber on each die is even, (ii) the sum of thethe two dice is 5.different dice are tossed together. Find the probability that O thenumbers appearing onCBSE 2014]ously Bind the probability that19. Iwo |
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