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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. |
ŕ¤ŕ¤¨ 2. 2t+3. 84 3 3 |
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Answer» Please hit the like button |
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| 2. |
ŕ¤ŕĽ 2t S 2 )X = &, R Foy =9 |
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Answer» 2x + 3y - 8 = 04x + 6y - 7 = 0 Comparing cofffcient, 2/4 = 1/2 3/6 = 1/2 -8/-7 = 8/7 So, we can see this the case of no solution. |
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| 3. |
2t/5=(t-32)/5-2 |
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Answer» Thank uuuuuuuu soooooo muchhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ☺ ☺ ☺ ☺ ☺ |
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| 4. |
2thout actual division, prove that 2t-Sx+2-+2 is divisible by-32x ti |
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Answer» First of all, x^2-3x+2=>x^2-2x-1x+2=>x(x-2)-1(x-2)=>(x-2)(x-1)Therefore,(x-2)(x-1)are the factors.i) (x-2)x-2=0=>x=2So,p(x)=2p(x)=2x^4-5x^3+2x^2-x+2p(2)=2(2)^4-5(2)^3+2(2)^2-2+2=32-40+8= -40+40=0Hence,it proves that (x-2) is a factor .ii) (x-1)=>x-1=0=>x=1So,p(x)=1p(x)=2x^4-5x^3+2x^2-x+2p(1)=2(1)^4-5(1)^3+2(1)^2-1+2=2-5+2-1+2=6-6=0Hence,it proves that (x-1) is a factor. |
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| 5. |
If A, B, C are angles of a triangl, thnin) is equal to-is equal to - |
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Answer» Like if you find it useful |
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| 6. |
23. ABCD is a quadrilateral. A line through D is paralieitoACmeets BC produced at P. Prove that ar (AABP)- ar (ABCD)8 |
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| 7. |
14. In the given figure, ABCD is a quadrilatcral. A line through D parallel to AC meets BC producedat E. Prove that ar(AABE) ar quad.(ABCD) |
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Answer» thanks |
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| 8. |
If the total of two numbers is 25 and itsmultiplication is 144, then their difference is(A) 6(C) 7(B) 5(D) 4 |
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Answer» Ans :- LetOne number = xother number = y Sum====x+y=25x=25-y...............(1)Product=======xy=144...............(2)Put the value of x in above equation(25-y)y=14425y-y^2=144y^2-25y+144=0y^2-16y-9y+144=0y^2-16y-9y+144=0y(y-16)-9(y-16)=0(y-9)(y-16)=0y-9=0 or y-16=0y=9 or y=16Put the value of y in (1)x=25-16=9x=25-9=16So numbers are 9 and 16 |
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| 9. |
1, Name the side included between the angles A and LB of ΔΑΒΟ.n u the two triangl |
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Answer» AB is between the two angles. |
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| 10. |
Find the areca of a triangl whose sides are 9 cm 12cm ancm and 15 cm. |
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| 11. |
JO4. The length and breadth of a rectangular field are 9 1 mand 62 mrespectively. Find its perim5. The three sides of a triangl . 7 7 |
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| 12. |
uigies of the21. ABCD is a rectangle in which diagonal AC bisects LA as well as CShow that (i) ABCD is a square, (ii) diagonal BD bisects B as wll |
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| 13. |
In quadrilateral ACBD, AC- AD and AB bisects LAShow that AABCAABDWhat can you say about BC and BD? |
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| 14. |
In quadrilateral ACBDAC AD and AB bisects LA (see Fig. 7.16). Show thatAABC AABD. What can you say about BC and BD? |
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| 15. |
11. ABCD is a parallelogram in which P is themidpoint of DC and Q is a point on AC suchthat CQ-İAC If PQ produced meets BC at R,prove that R is the midpoint of BO. |
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| 16. |
In quadrilateral ACBDAC = AD and AB bisects LA(see Fig. 7.16). Show that A ABC A ABDWhat can you say about BC and BD? |
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| 17. |
. In quadrilateral ACBD,AC AD and AB bisects LA(see Fig. 7.16). Show that A ABC A ABDWhat can you say about BC and BD? |
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| 18. |
1 ABCD is a parallelogram in which P is themidpoint of DC and Q is a point on AC suchthat CQ 4AC. If PQ produced meets BC at R,prove that R is the midpoint of BC.1 |
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| 19. |
7 cm30°45oIn the figure, AB 6 cm, AD 7 cm, ZABQ 30°<DCP = 45°, seg AQ l seg BBC such that AQ DP and AD PQ, then find(i) BQ (ii) DC (ii) BOCC and seg DP L seg(4 marks)Solution: |
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| 20. |
te loraisedCrvecos saltossed 100 times and at eachwere observed. The number oUnserved. The number of tosses during which 0,1,2,3,4 and heads were seare shown in the table below. Find the mean number omNo. of heads per tossNo. of tosses38144342287GA QNHO164251000Total |
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| 21. |
20.In fig., ABCD is a parallelogram in which P is the mid-point of DCand is a point on AC such that CR AC. If PQ producedmeets BC at R, prove that R is a mid-point of BC.421 The side AB ofa narallol |
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| 22. |
Find the pair of altenate interior angles |
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| 23. |
Flg. 2Fig,3e trianglthe cnrles in cach of the following pairs are congruent by SSS congruence rule. Writecongruence of each pair in symbolic form.6 cmFig. 5Fig. 4 |
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| 24. |
Fig. 13.22Look at the following figures. By the applicationof SAS congruence condition state which arecongruent:4.65°65°C E8 cm8 cm |
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Answer» BC=EFAngle A=Angle DBA=FD Therefore, by SAS congruency,Both triangles are congruent. |
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| 25. |
equalaltitudesofa triangle ABC. Using RHS congruence4. BE and CFare twoerule, prove that the triangle ABC is isosceles. |
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| 26. |
ga Juma |
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Answer» bahi ya transformation method sa solve karna ha jisma operation lagata haa |
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| 27. |
Is ga rational number! |
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Answer» yes 0/3 = 0 rational number yes .................................... yes it is a rational number no it is not a rational number yes 0/3 =0 a rational number yes 0/3 is the rational number yes 0/3 is a rational numbers but only 0 is not a rational number |
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| 28. |
6.Acirculardiscofradius 6 cm is divided into three sectors with central angles 90, 120 and150°. What part of the whole circle is the sector with central angle 150? Also, calculatethe ratio of the areas of the three sectors. |
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| 29. |
areaofthewholefigure[Takeπ = 3.14].54. A circular disc of radius 6 cm is divided into three sectors with centralangles 90°, 120° and 150. What part of the whole circle is the sector withcentral angle 150°? Also, calculate the ratio of the areas of the three sectors. |
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| 30. |
area of the whole ilged into three sectors with central54. A circular disc of radius 6 cm is dividangles 90°, 120° and 150°. What part of the whole circle is the sector wihcentral angle 150°? Also, calculate the ratio of the areas of the three sectorsd thhle royer has six equal designs |
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| 31. |
PLE 1. In quadrilateral ACBD, ACAD and AB bisects A. Show(NCERT)that Δ ABCΔ ABD. |
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| 32. |
(C) 4 1(Consistent) , ufe |
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Answer» If there is a line.. a1x+ b1y +c1 = 0 and a2x+b2y+c1 = 0 Then for consistent solution a1/a2 ≠ b1/b2.. k/3 ≠ 4/2 => k≠ 6 |
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| 33. |
K I)Q. 101n a quadrilateral ACBD, AC = AD and AB bisectz A. Show that ABC-MBD |
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| 34. |
In quadrilateral ACBD, AC=AD and AB bisects angleAShow that ∆ABC~∆ABDWhat can you say about BC and BD? |
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| 35. |
19. Prove that the perpendicular bisectors of the sides of a cyclicuadrilateral are concurrent. |
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| 36. |
19.Prove that the perpendicular bisectors of the sides of a cyclic/ quadrilateral are concurrent. |
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Answer» thanks dear |
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| 37. |
19. Prove that the perpendicular bisectors of the sides of a cyclicquadrilateral are concurrent. |
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| 38. |
4. Show that the perpendicular bisectors of the sides of the triangle with vertices (7, 2),(5, 2) and (-1, 0) are concurrent. Also find the co-ordinates of the point of concurrence |
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| 39. |
In quadrilateral ACBD, AC=AD and AB bisectsShow that AABC AABD.What can you say about BC and BD?LA |
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| 40. |
In quadrilateral ACBD,AC = AD and AB bisects(see Fig. 7.16). Show that AABC AABDWhat can you say about BC and BD? |
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| 41. |
Draw Δ ABC in which AB-3CM , BC-5CM and/B= 60 |
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Answer» draw a line segment of 3 cm.name it as A and B.draw semi circle through a .draw bisector.and cut an arc from a of 5 cmand join the arc and from a.and name it has c.Now join b and c.You got a triangle. this is the ruler and compass method construct ∆ABC in which AB =5cm ,<B =45° and BC =6cm |
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| 42. |
In figure, if ΔABC iscircumscribing a circlefind the length of BC.4cma 11cm3cm |
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| 43. |
47·Draw a quadrilateral ABCD, given that AB-42 cm, BC-3.7cm; CD-2.9cm; AD-3cm andBD 4.5cm. |
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| 44. |
) Bu शोध. [सर |
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Answer» (125/343)^1/35^3=1257^3=343hence(125/343)^1/3=5/7 |
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| 45. |
find consistent or inconsistent |
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Answer» inconsistant because a1/a2isnotequal b1/b2€c1/c2 Consistent a₁/a₂ ≠ b₁/b₂ ≠ c₁/c₂ The given equations have a unique solution. |
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| 46. |
18. In the adjoining figure, ABCD is a parallelogram.If P and Q are points on AD and BC respectivelysuch that AP=⅓AD and CQ=1BC, prove thatAQCP is a parallelogram. |
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| 47. |
6. For what value of k the following system of linear equations is inconsistent:(i) 4x + y = 11; 2x + key = 7(ii) 6x + 3y = k-3; 12x+6y=k |
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Answer» 4x+6y=11; 2x+ky=7,; 2(2x+ky=7)=4x+2ky=14; 4x+6y=11/3ky=3; 3k=3; k=1; |
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| 48. |
In quadrilateral ACBD,//AC = AD and AB bisects <A(see Fig. 7.16). Show that A ABCAABD.What can you say about BC and BD? |
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| 49. |
18. In the adjoining figure, ABCD is a parallelogram.If P and Q are points on AD and BC respectivelysuch that AP 3AD and ce-3BC, prove thatAQCP is a parallelogram.iininafiure ARCD is a parallelogram |
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| 50. |
S.T. Altitudes of a triangle are concurrent. |
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