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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. |
. If the sum ofSanju is 6 years older than his brother Nishu.their ages is 28 years, what are their present age8.2 |
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| 2. |
ललम o | & md part रु W(0१९ Ao ooids A (D बच ०. and (X न é —\o =0 &—\\‘\c\ Nalue Yof k- Al हा |
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| 3. |
cosec 28-sec20cos ec2θ + sec2 θ22. If cot θ--/7, show that |
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Answer» cott = √7 cosect = 2√2 sect = 2√2/√7 (cosect*cosect-sect*sect)/(cosect*cosect+sect*sect) = (2√2*2√2 - 2√2*2√2/(√7*√7))/(2√2*2√2 + 2√2*2√2/(√7*√7)) = (8-8/7)/(8+8/7) = (56-8)/(56+8) = 48/64 = 3/4 |
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| 4. |
Draw a circle with centre C and radlus 4.5 cm. Mark points P. 9. R such that P lies in theinterior of the circle, 9 lies on the circle, and R lies in the exterior of the circle |
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| 5. |
1 | B COT U A— cos8) = . _ 4in®) (secB T(iv) (cosec —sin ) (st tan© + cot® |
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| 6. |
2. Draw a circle with centre C and radius 4.5 cm. Mark points P. 9. R such that P lies in theinterior of the circle, 9 lies on the circle, and R lies in the exterior of the circle |
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Answer» thanks |
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| 7. |
1 212 216 2 4 "Verify: (i) x' + y = (x + y) (x2 - xy + y )9.(ii) x - y) = (x - y) (x2 + xy + y) |
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Answer» R.H.S =>(x+y) ( x2- xy + y2)=> x3- x2y + xy2+ x2y - xy2+ y3 {On multiplying x3+ y3with(x+y) ( x2 - xy + y2)}=> [x3+ y3] + ( -x2y+ x2y) + (xy2- xy2)=> x3+ y3Since R.H.S = L.H.S,That is x3+ y3= x3+ y3Hence, verified that x3+ y3=(x+y) ( x2- xy + y2) |
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| 8. |
c)andBaresets,provethat.AUB = (A-B)UBFindă"(x) wFindĺšż1 (x) where/(r)=x +3(d)(d)(e) Show that; -(PV - PAO) PAusing logical equivalent formulas. |
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| 9. |
P1.Math color activity. If a number has 2 tens, color it blue. If a number has 8 hundredscolor it yellow. If a number has 1 thousand, color it red and if a number has 0 ones,color it green. This is a great math place value activity3,252 2,560 4,222 (3,2594,678 9,662 1,263 9,0002,854 3,882 1,2881,500 1,460 1,3335.4551,234 (6,742 (2,544) (6,121)7,500 |
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Answer» Blue=4222,6121Yellow=2854,3882Red=1263,1288,1500,1460,1333,1234Green=2560,9000,7500,1500,1460 |
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| 10. |
(b)12ab(9a2-1669 รท 4a6(3d+ 4b) |
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| 11. |
The coordinates of the midpoint of the line segment joining the points P(-4, 2) and Q(8,6) are- |
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Answer» x=(x1+x2)/2=(-4+8)/2=2y=(y1+y2)/2=(2+6)/2=4 coordinate=(2,4) |
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| 12. |
Find the ratio in which P(4, m) divides the line segment joining the points A(2. 3) andBró.-3). Hence find m. |
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| 13. |
d the ratio in which P(4,m) divides the line segment joining the points A(2,3) and B6,-3), Hence find m. |
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| 14. |
If both roots of the equation x2-6ax + 2-2a + 9a2 = 0 exceed 3, then show that a >、19 |
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Answer» not seen clearly but understandable and thank a lot bhai |
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| 15. |
find the ratio in which p(4,m) divides the line segment joining the points A(2,3) and B(6,-3). find m |
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| 16. |
linesSolve the following quadratic equation by factorisation method :SECTION-C |
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Answer» Please like the solution 👍 ✔️ |
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| 17. |
Find the circumference of circle whose diameteristi) 7.5 cm (ii) 5.6cm u) 4.9 cmNote : take Ď in the above two questions.(d)49cm |
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Answer» Circumference of circle = 2*pi*r 1) r = diameter/2 = 17.5/2 Circumference = 2*22/7*17.5/2 = 22*2.5 = 55 cm 2) r = diameter/2 = 4.9/2 Circumference = 2*22/7*4.9/2 = 22*.7= 15.4 cm |
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| 18. |
eena is 6 years older than her brother Ajay. If the sum of their ages is 28 years, what arethetr present ages ?ttuanv bi s is21,ind the numbers12. R |
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| 19. |
2.having the same centre U.Draw a circle with centre C and radius 4.5 cm. Mark points P. O. R such that pleeinterior of the circle, lies on the circle, and R lies in the exterior of the circle.du cm Draw a chord AB of the circle. Indicate by |
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| 20. |
LewesiosAO Ual triangle with length of sides as 6 cmos triangle and measure the length of all sides onDraw an eare with length of side as 7 cm.ale with length of 2 sides as 4 cm and 6 cmand measure the length of the radius and diarI the properties of a circle.aw an equilaterpraw an isoscele,Draw a square wDraw a rectangle6 Draw a circle anList all the proWrite all similaritieGita constructed atmilarities and differences between an equilateucted a triangle with length of all the sides asthe angles of the triangle? |
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Answer» which question 1,2,3,4,5,6,7,8 1. 1- |
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| 21. |
7. Prove that: tancoProve that: I tante-tane =1+ sec acosec o1+sec 6.cosec u28. The angle of depression of the top and the bottom of an 8 m tall building from the top of amulti-storage building are 30 and 45", respectively. Find the height of the multi-storage buildingand the distance between the two buildings.nundrant of a circle of radius I cm is cut and also a circleingnortign of the square. |
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| 22. |
SECTION-C9.Solve for x (in terms of a and b) :(22x# a,b. |
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| 23. |
(b) x2-18x+ 81(a) 2+ 4r+ 4(c) 4x2+ 4x+ 1(e) 25a2-60ab+36b(g) 40r--12(x-y)xy)+9(x +y)( 4(0 9a2 -30ab+ 250 |
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Answer» all are of type (a+b)^2=a^2+2ab+b^2(1) (x+2)^2(2) (x-9)^2(3) (2x+1)^2(4) (2/3a+b)^2(5) (5a-6b)^2(6) (3a-5b)^2(7) (2(x-y)-3(x+y))^2 |
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| 24. |
6,In the fig. 10.10. Î PBC and Î QBC are situatedon the opposite sides of common base BC. Provethat the line joining P and Q. is a perpendicularbisector of BC. |
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| 25. |
b)The line joining P (-4, 5) and Q (3, 2) intersects the y-axis at R. PM and QN are perpendicularsfrom P and Q on the x axis. Find:The ratio PR: ROii. The coordinates ofR13ii. The area of thc quadrilateral PMNQ. |
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| 26. |
Mona's father is thrice as old as Mona. After 12 years, his age will be twtce that ofhis daughter. Find thetr present ages. |
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| 27. |
3. The area of aRidhima's MethodAman's Methodpeziurn is 34 cm?. The length of one of the parallel sides is 10cmFind the length of the other parallel side.uy a trapezium shaped field. Its side along a river is parallel tois4. Amit wants totraperoad. If the area of this field is 10320 m2 and the Aar distance between the two parallel sides is 120 m, findthe parallel sides.If BC 48 CDSideAB is perpendicular to the parallel sides AD and BC.. Length of the fence of a trapezium shaped iefield ABCD is 120 m.m, CD 17 m and AD 40 m, find the area of this field.EL IIrea of a quadrilateral PORS choun in thonl |
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Answer» Crop only the question that you want a solution for. We will not be able to provide solutions to multiple questions. 3 Q3 3. q4 que.4 Please post it as a new question. |
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| 28. |
Pavan wants to make a disc to play. He cuts a circle of diameter 10 cm from a circular plasticsheet of diameter 14 cm. Find the area of the disc. (Take Ď = 3.14) |
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Answer» Area of disc = area of bigger circle - area of smaller Circle= π{7²-5²}= (3.14)*(49-25)= (3.14)*24= 75.36 cm² Please hit the like button below |
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| 29. |
Find the ratio in which P (1,3) divides the line joining the points (-1,7) and (4,-3). |
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| 30. |
The line joining the points (2,-1) and (5, -6) is bisected at p. If plies on line 2x +4y +k 0, find the value of k. |
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Answer» p bisected the line joining the points(2,-1) and (5,-6).Therefore the coordinate of the mid-point p of the join of the points (2,-1) and (5,-6) is =[{(2+5)/2 },{(-1–6)/2}] =(7/2,-7/2) As p (7/2,-7/2) lies on the line 2x+4y+k=0 = 2*7/2+ 4*(-7/2) +k=0 =7 -14+k=0 =k=7 |
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| 31. |
11. A circle U6 cm. What is the area of Ilcircle is 31.4 cm. Find the radius and the area of theThe circumference of a(Take 3.14)31.4 c12.uwer bed is surrounded by a path a m wide. The diameter of the floW |
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Answer» Circumference =2πr31.4=2*3.14*rr=5cmHence area=πr^2=3.14*25=78.5cm^2 |
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| 32. |
12 a b x^{2}-\left(9 a^{2}-8 b^{2}\right) x-6 a b=0 |
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| 33. |
2./If A × B = {(a, l), (a, 2), (a, 3), (b, l), (b, 2), I(b, 3), Find the sets A and B and B × A. |
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| 34. |
\left| \begin{array} { l l l } { a } & { b } & { c } \\ { b } & { c } & { a } \\ { c } & { a } & { b } \end{array} \right| = - ( a ^ { 3 } + b ^ { 3 } + c ^ { 3 } - 3 a b c ) |
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| 35. |
Solve for x: 12 a b x^{2}-\left(9 a^{2}-8 b^{2}\right) x-6 a b=0 |
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| 36. |
\left| \begin{array} { l l l } { a } & { b } & { c } \\ { b } & { c } & { a } \\ { c } & { a } & { b } \end{array} \right| = 3 a b c - a ^ { 3 } - b ^ { 3 } - c ^ { 3 } |
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Answer» L.H.S.=a(bc-a^2)-b(b^2-ac)+c(ab-c^2) =abc-a^3-b^3+abc+abc-c^3 =3abc-a^3-b^3-c^3 =R.H.S.Hence Proved |
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| 37. |
36. In Fig. 10.108, a circle touches the side DF of Δ EDF at H and touches ED and ERproduced at K and M respectively. If EK = 9 cm, then the perimeter of ΔEDF is |
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Answer» 1 2 |
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| 38. |
Find perpendicular distance from the origin to the line joining the points (cose, sin θ)and (cos (p, sin φ) |
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Answer» can you please post the answer again because it is not visible properly |
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| 39. |
= 27 a ^ { 3 } + 8 b ^ { 3 } - 18 a ^ { 2 } b - 12 a b ^ { 2 } |
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| 40. |
34Зхcolor9. Find the value of x for which()color() =). |
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Answer» -1 is the correct answer of the given question |
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| 41. |
tractulMona painted of a wall white, - grey and the rest blue. What portion of thewall was painted blue? |
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Answer» blue colour= 1-1/5-1/6 = 30-6-5/30 = 30-11/30 = 19/30 |
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| 42. |
5. The trees turning grey gives the diarist a feeling of(a) attractivenesseloneliness(b) dreariness(d) loveliness |
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Answer» They show loneliness |
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| 43. |
A field is in the shape of a trapezium whose parallel sides are 50 m and 15 m. The non-parallel sides ar20 m and 25 m. Find the area of trapezium.4.5. Grey and whit |
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| 44. |
355+60 |
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Answer» 415 415 is the correct answer |
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| 45. |
के हु.Sl s355 |
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Answer» साधा रण ब्याज =600*5*3/100=90रूपए please like the solution 👍 ✔️👍 |
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| 46. |
ं 607 प्र कि कनिक 07 कफ 0 रशशक कि कगार कक.>>... 355 indl oo - |
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Answer» Hcf* lcm = product of two numbersLet another number be x.9* 360 = 45 * xX = 3240/ 45X = 72 |
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| 47. |
number of students in the classAyip a AABC, < C-3 L B-2 (2 A+ < B). Find the three angles. |
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| 48. |
Show that the three points A(-2,-8), B(5.0,-2) and C (I l, 3, 7) are collinear and find the ratio in which Bdivide AC.14. |
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| 49. |
er metrOne circle has a radius of 98 cm and a second concentric circle has a radiuHow much longer is the circumterence of the second circle than that of the fof 1 mrst? |
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| 50. |
(a)The slope of a line joining P(6, k) and Q(1-3k, 3) is(0) k. Find(Midpoint of PQ, using the value of 'k found in (i) |
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