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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. |
(-3,-2)isa. Show that the quadrilateral whose vertices are (2, -1), (3, 4), (-2, 3) andhombus. |
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| 2. |
Find the area of the triangle whose vertices are:(2,3) (-1,0) (2,-4) |
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| 3. |
Find the centroid of the triangle whose vertices are (4,-8), (-9,7) and (8,13) |
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Answer» centroid is x1+x2+x3/3,y1+y2+y3/3=4-9+8/3,-8+7+13/31,4 please do in full |
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| 4. |
Find the area of the quadrilateral whose vertices, taken inorder, are (-4,-2), (-3,-5),(3,-2) and (2, 3). |
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| 5. |
lication : 4. If the angle of elevation of the sun is 60° the shadow of a palm12 metre in length. Let us find the height of the palm tree. |
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| 6. |
find the area of triangle whose vertices are (1, -1) (2, 1) (4, 5). |
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| 7. |
Find the area of a triangle whose vertices are given as (1,- 1) (-4, 6) and |
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| 8. |
Find the area of a triangle whose vertices are given as (1,-1) (-4, 6) and |
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Answer» Hey mate, first mark the points on quadrants, and then find our the area of triange. |
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| 9. |
In Fig. 7.49,ZB<2 A and ZC<ZD. Show thatAD <BC.3. |
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| 10. |
2,24() Ifsinaab. prove that +2y va-c +dy-et |
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| 11. |
10. AJoker's cap is in the form of a right circular cone of base radius 7 ch and height 27 cm. nLet usFind the area of the sheet required to make 10 such caps.lowin |
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| 12. |
et BC be a trigle, righnngled at Bmi D be the mmilipeint of AC. Sorw thatD.Through D, draw DE BC, meeting ABat E |
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| 13. |
smallest angle.R. 12. In fig. 2B <A and C <ZD. Show that AD«BC |
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Answer» GIVEN angle b < angle a angle c < angle dTO PROVE AD < BCPROOF angle b < angle a SO, OA < OB ( SIDE OPPOSITE TO SMALLER ANGLE IS SMALL ITS THEOREM GIVEN IN NCERT) LET THE ABOVE ONE BE 1 NOW, angle c < angle d SO, OD < OC( SIDE OPPOSITE TO SMALLER ANGLE IS SMALL ITS THEOREM GIVEN IN NCERT) LET THE ABOVE ONE BE 2 NOW, ADDING 1 AND 2 OA+ OD < OB+ OCADDING WE GET, AD < BC HENCE PROVED |
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| 14. |
Let us factorise 98 as a product of primes by using factor tree. |
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| 15. |
ZD ZH , becauseangles.ABZA ZH , becauseangles.GHZCELE, becauseangles. |
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Answer» masuda they are corresponding anglesthey are exterior alternate correspondingexterior alternateinterior alternate respectively |
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| 16. |
Draw ΔΡ2R with PQis this?4 cm, QR3.5 cm and PR-4 cm. What type of triangle |
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| 17. |
1. Answer the following questions:(i) In which order should the four differentdigits be arranged to obtain the largest4-digit number? |
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Answer» 9876.. descending order 9876. in desecding order its the no. is 9876 it must be arranged in descending order only 9876. |
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| 18. |
6,Find Caa, 42b, 4e, Zd and Ze in the figure? Give reasons.50 |
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| 19. |
e) 2,-3The ratio in which the line 3x ty-9 divides theline sequent joining the points (1,3) and (2,7) isgiven by(a) 4:3(c) 2:328.(b) 3:4(d) 3:2nngle whose vertices are |
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| 20. |
Find the area of the triangle whose vertices are (0, 0), (1, 2) and (4, 3). |
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| 21. |
Example 11: Find the area of a triangle whose vertices are (1, -1), (-4, 6) and (- 3, - 5) |
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| 22. |
ABCequations of the median of the triangle ABC where vertices are A(2, 5), B- 4, 9) |
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| 23. |
Find the derivetive of xe |
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| 24. |
nd the value of y in the following45115°Fig. 9.27 |
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| 25. |
2 tan 30o)Find the value of 1+tan2 300 |
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| 26. |
Let us find a rational number between 1/4 and 3/4. |
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| 27. |
nd BC are equal perpendiculars to a lineet AB (see Fig. 7.18). Show that CD bisects |
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Answer» thank you thank you |
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| 28. |
1. Let us factorise 98 as a product of primes by using factor tree. |
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| 29. |
(g) 1.305 x= 130.5(h) 2.(i) 2.834 x= 2834() 03. Find the product.(a) 48.758 x 10 (b) 48.758 x 100 (c) 48e) 59.52 x 100 (f) 59.52 x 1000 g 9.51. Multiply.(a) 0.3 x 0.2(b) 0.4 x 0.1(d) 0.06 0.3(e) 12 x 0.004Solve by multiplying.(a) The Khan family was visiting Delhi. Theday for 3 days in the city. How many ki(b) On a hiking trip, the hikers needed 1.78If the trip lasted 10 days how many litu(c) The weight of atimes his weighweighs 58.7 kgof onio |
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| 30. |
6. Fill in the blanks of the boxes.(i) The largest four digit numebr is |
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Answer» 9999 9999 the largest four digit number is 9999 The largest four digit number is 9999 चार अंकों की सबसे बड़ी संख्या 9999 होती है Largest four digit number is 9999 9999 is the correct answer |
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| 31. |
The largest four digit number which is a perfect cube is |
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| 32. |
In a quadrilateral ABCD, the bisector of <C and<D intersect at O3.Prove that< COD=1/2(<A+<B) |
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| 33. |
l in APQR the bisector of ZP intersect QR at D if PQ 3PR 4.5 OD-2 then RD(b) 4(d) 6 |
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Answer» If you like the solution, Please give it a 👍 |
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| 34. |
r4y 6 is the perpendicular bisector of the line segment AB. If B (1, 3),e lined the co-ordinates of point A |
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Answer» part 1 part Breplace QP with AB |
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| 35. |
areAhind the equation of the bisector of angle A of the triangle whose vertices4,3), B (0, 0) and C (2, 3). |
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| 36. |
ENAMPLE Find the equation of the internal bisector of angle BAC of the triangle ABC whose verticesA, B, care (5, 2), (2, 3) and (6, 5) respectively. |
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| 37. |
5.In the figure, if PQ and PRthen find ZQPR.are two tangents to a circle with centre O, if <Q0Rs 110°,o 0110 |
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Answer» As tangent makes 90 ° Angle QPR + 90° + 90° + 110° = 360°It's a quadrilateraland the sum of angles of a quadrilateral is 360°After solving < OPR = 360° - 290° = 70° |
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| 38. |
कि(06 - बट (/- २६०८ -1- ShQloso |
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Answer» thnxs |
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| 39. |
2. If PQ and PR are tangentsto the circle with centre OIf ZQPR 30o, then findthe values of PRQ andZQOR. |
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| 40. |
बेर"30009 (0 2 0“.'70‘2 050 (4) "» ५८09८ ुंडपक ए०१ ०१९ पारसाफ 0४ रे०५ 7 कवुप्ट 57 एड2७ ० है*+ 5८0८ डाधथुर पक 4 DRI 2089लक SRR : बह के N7 |
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| 41. |
in the given figure, PQ is a diameter of a circlewith centre O. If <PQR = 65°, LSPR = 40°and LPQM 50, find ZQPR, ZQPM and15,40659O 50LPRS |
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| 42. |
9. In Fig.6.25, side QRof A PQRis producedtopointS.If the bisectors ofPQR and < PRS meets at point7, then prove that: ZQTR-ZQPRndFig. 6.25 |
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| 43. |
21.1f cos +sin0 = 050, prove that (050 > डा 0 न19 |
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Answer» Cos-sin =√2sin squaring both sides (cos-sin)²= (√2sin)² cos²+sin²-2cossin = 2sin² cos²= 2sin²-sin²+2 cos sin cos² = sin²+2cos sin Adding cos both sides cos²+cos² = sin²+2cos sin +cos² 2cos² = (sin+cos)² √(2cos²) = sin +cos √2 cos = cos + sin |
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| 44. |
. Find the perpendicular bisector of AB, where the coordinates of the points A and B are(2, -5) and (-3, 1) respectively. Also, find its point of intersection with the axes. |
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| 45. |
Find the area of a square inscribed in a circle of radius x em. |
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| 46. |
Find the weight of a metallic cube of side 70 cm, if I em' weighs 100 g |
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Answer» Thank u very much brother. |
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| 47. |
५ ऊँ. 2 DT S2 00 St |
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Answer» PLEASE LIKE IT, IF YOU FIND THIS SOLUTION HELPFUL. |
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| 48. |
ST TN NGy TSy Y अल गा== SN = s S e स्स्थि स्ल्टिस्कक ‘- ===e Ssuw d 3D= y) ® xyG (<. —)TE S S TEsSS . ==focw < 5 o SR B S = J“- 'होले हैं | |
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| 49. |
Find the largest four-digits number which when divided by 4, 7 and 13leaves a remainder of 3 in each case. |
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Answer» first we need to find the LCM:so the LCM of 4,7 and 13 is 364then we divide 364 by the largest 4 digit no. and that is 9999the remainder we get is 171so 9999-171 =98289828 is perfectly divisible by 364 but we need a remainder of 3 so 9828+3=9831therefore 9831 is the largest no divisible by 4,7 and 13 |
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| 50. |
7 \frac{1}{3} \div\left\{6 \frac{2}{11}-\left(4-2 \frac{3}{11}-1\right)\right\} |
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Answer» soòooo much thanks |
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