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.
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16.1. Find the value of vis |
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| 2. |
5. If the third term of an A.P. is 12 and 10th term is 26, then its 20th term is: |
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Answer» thanks di |
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| 3. |
7. Find the 20th term from the last term of the AP: 3.8.13.. . . 253 |
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| 4. |
$ 13x-4x+1-0 II. 15° -8y +101)x3 23xy4 3) x y or relation can't be established5)xy |
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| 5. |
R R SRR Pt NâD fnd e oo bogekmies He Lamilj af ÂĽ come 1 |
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Answer» improve your writing first |
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| 6. |
00 Fnd the les m all boy isnding at some distance from a 30 m tall building. The asomees to the top of the building increases from 30° to 60g. Find the distance he walked towards the buildingon the ground, the angles of elevation of the hottom andas he walowards the building. |
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| 7. |
3*x^2 - 12*x - 12 |
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Answer» =3x^2-6x+6x-12=3x(x-2)+6(x-2)=(3x+6)(x-2) |
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| 8. |
0.9. State any two uses of x-rays, |
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Answer» Other uses for X-rays and other types of radiation includecancertreatment. High-energyradiation in much higher doses than what is used for X-ray imaging may be utilized to help destroy cancerous cells and tumors by damaging their DNA. Theraysgo through the skin and flesh easily, showing up as dark areas on the film, but with more difficulty through bone. They are slowed down and so these areas are much lighter.X-rayscan also beusedto kill cancer cells, but also kill healthy cells, so must beusedwith much care. The most common form of X-ray used is X-ray radiography, which can be used to help detect or diagnose: •Bone fractures •Infections (such aspneumonia)•Calcifications (likekidney stonesor vascular calcifications)•Some tumors•Arthritis in joints•Bone loss (such asosteoporosis)•Dental issues•Heart problems (such ascongestive heart failure)•Blood vessel blockages•Digestive problems•Foreign objects (such as items swallowed by children) |
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| 9. |
17. Find the 20th term from the last term of the AP:3,8,13,...,253. |
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Answer» a=253,d=-5,n=20 a20=a+(n-1)d=253+(20-1)-5=253+(19)-5=253-95=168 168 is correct answer. |
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| 10. |
name the figure having 3 point |
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Answer» Triangle has three points triangle |
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| 11. |
A = 12-13show that matrix inversion method. |
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Answer» {2(-8-1)-1(4-3)+3(6+1)}={2(-9)-1+3(7)}={-18-1+21}={1}; x=8; y=4, z=0 |
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| 12. |
13. Show that 4" can never end with the digit zero for any natural number n. |
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| 13. |
10,000 X 12/100 X 6/12 |
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Answer» tqq.jii |
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| 14. |
6. Find three rational numbers betweenand-Aco |
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Answer» not answer |
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| 15. |
1.Value of θ, if meine is purely imaginary is1-2isin0 |
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Answer» Please hit the like button |
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| 16. |
(7)15y 12xy 27x- ythen identify the incorrect expression from the following.=-,b.12 y = 15xx.12d.-x-y=0Xy 27x 415 |
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Answer» Option b is correct12y=15xx/y=15/12Option d is correct12/15x=yx/y=15/12Option a3x+3y=27x-27y-24x=-30yx/y=15/12Hence option d is incorrect can you please do it in paper |
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| 17. |
If (1 ) is purely an imaginary number and z¥-1 then find the valuez |
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Answer» answer nahi aaraha hai |
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| 18. |
s1ol F8] १०10६हा:- = _/\+ |
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Answer» thanks |
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| 19. |
Monu's grandfather and 29 years older than MomThe sum of the ages of all the three is 135 years. What is the age of each one of them? |
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| 20. |
929DSIn the figure cismid point of AB.LAand ZACEVE ZBCD. Piove that AB = DE |
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Answer» grvuevh h. u fgk tbjbn May this help u and try itself to do it again May this help u and try itself to do again |
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| 21. |
.5) the digit which can replace à in the number 29*2 s.rso that it is divisible by 9.the following Magic square de |
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Answer» 5 is the correct answer |
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| 22. |
7. The adjacent sides of a parallelogram are 10 m and 8 m. If the distance between the longer sides is 4 mi, findthe distance between the shorter sides. |
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| 23. |
are congruent.28, in the figure BA·LAC and DE.L EF such that BA-DE and BF= DC. Prove tr29. From the vertices RndAROhat AC EFCofAARn |
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Answer» Given: ABAC and DEFE such that, AB = DE and BF = CD To prove: AC = EF Proof: InABC, we have, BC = BF + FC and, inDEF FD = FC + CD But, BF = CD [Given] So, BC = BF + FC and, FD = FC + BF BC = FD So, inABC andDEF, we have, BAC =DEF = 90o[Given] BC = FD [Proved above] AB = DE [Given] Thus, by Right angle-Hypotenuse-Side criterion of congruence, we have ABCDEF The corresponding parts of the congruent triangle are equal. So, AC = EF [c.p.c.t] AE =BCD [Proved above] Thus by Angle-Side-Angle criterion of congruence, we have BCDBBAE The corresponding parts of the congruent triangles are equal. So, CD = AE [Proved] |
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| 24. |
In the given figure, O is the centre of thecircle, PT is the tangent drawn from thepoint P to the circle and PAB passesthrough the centre O of the circle.If PT 6 cm and PA 3 cm, then find theradius of the circle6 cmSHOT ON MI AlMI DUAL CAMERA |
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Answer» In the figure, OPT is a right angled triangle, right angled a T (As PT is a tangent).So, let OT and OA be r.Thus,r² + PT² = OP²or, r² + 6² = (r+3)²or, r² + 36 = r² + 6r +9or, 6r + 9 = 36 (Cutting off r² from both sides)or, 6r =27or, r = 27/6 = 9/2 = 4.5cm you are write |
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| 25. |
I. In Δ ABC, right, angled at 13. AB = 24 cm. BC-7 cm. Dei ermine.(i) sin A, cos A(ii) sin C, cos C |
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| 26. |
63 The area of a rectanqular field whose lenath is twice its breadth is 2450 miFind the perimeter of the field(a) 105m(b) 280m(c) 140m(d) 210 m |
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Answer» Area =length*breadth2450=2b*b1225=b^2b=35mPerimeter=2*(l+b)=2*(70+35)=2*105=210moption d is correct thanks😀😁 |
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| 27. |
Subtract the second polynomial from the first. |
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Answer» thnx |
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| 28. |
नाडू, घटाय;(ADD., SUB., MULTI. & DIY।2. 7862(4) 83STEP-1निर्देश: निम्नलिखित प्रश्नों में(?) प्रश्नवाचक चिह्न का मान क्या होगा।।. 16.123 +4.516+ =25.32(1) 15.05) (2) 20.634) (3) 4.681{4) 568()(5) of these13. 4.8-4(।) 51(4) 72 |
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Answer» none of these is the answers 4.681 is come 16.123+4.516+x=25.32=20.639+x=25.32=x=25.32-20.639x=4.618 |
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| 29. |
.11/ If AXYZ APORunder the correspondence XYZ㈠ POR, write all thecorresponding congruent parts of the triangles. |
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| 30. |
Example 12 : Find the area of a triangle formed by the points A(5, 2), B(4, 7) and |
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| 31. |
Example 12 : Find the area of a triangle formed by the points A(5, 2), B(4, 7) and C (7, -4) |
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| 32. |
Example-Calculate mean from the following distribution of data-Marks0-66-12 12-18 18-2Number of Students4 |
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Answer» hit like if you find it useful |
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| 33. |
*=-4,4=Mi) find the real values of 0 in ondethat 3t2 sino is a (a) real number1-2, sino(6) purely imaginary number. |
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Answer» Try to solve the answer for trigonomentry formula |
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| 34. |
5. In figure DEI/BC in Δ ABC, AD:DB-3:5 then find the (ratio)Area (Δ ADE) : Area (Δ ABC) |
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Answer» DE || BC Area (ADE) : Area (ABC) = (AD:DB)(AD:DB) = 9:25 |
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| 35. |
ratio of the length and breadth of a rectangular field is 3:2, Ifthe area of the feldis 3456 mi. find the cost of tancing the fieldd the cost of fencing the fieldt the rate of Rs 3.50 per meterfind the are ofthe square formed by ioining the middle points of the sides of this square |
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| 36. |
S.Findthevalueofmi1olwmOn6.Evaluate (i)3 4 |
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| 37. |
[ 29 - ( - 2 ) \{ 6 - ( 7 - 3 ) \} ] \div [ 3 \times \{ 5 + ( - 3 ) \times ( - 2 ) \} ] |
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Answer» [29-(-2){6-(7-3)}] ÷[3×{5+(-3)×(-2)}] = [29+2(6-4)]÷[3×{5+6}]= [29+4]÷[3×11]= 33/33= 1 |
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| 38. |
x = 2 + \sqrt { 5 } \text { then } x ^ { 3 } + 3 x ^ { 2 } - 29 x |
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| 39. |
5:3, 29:7, 19: 2, 32:9 |
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Answer» 5:3=5/3=1.6729:7=29/7=4.1419:2=19/2=9.532:9=32/9=3.55so 19:2 is maximum |
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| 40. |
e '),The length of a rope by which a cow is tethered to one end, of a corner of tetangeincreased from 16m to 23m. How much additional area can the cow graze now?hore If the rad |
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Answer» Additional area grazed=(π.23² - π.16²)/4=214.305 m² |
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| 41. |
128. InABC, DEI BC (Fig. 6.39). Find the values of x, y and z.30 |
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| 42. |
A DEI BC,AD 2.4 cm, AE -32cm, CE48cm2.4 cm3.2 cm4.8 cmÄŻtJTt(C) 3.6 cm(D) 2cm.(B) 4.5 cm(A) 2.6 cm |
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Answer» As DE || BC Use Basic Proportionality Theorem DE/BD = AE /EC 2.4/BD = 3.2/4.8 BD = (2.4 × 4.8)/3.2 BD = 3.6 cm c) is correct |
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| 43. |
8. In the adjoining figure, AD is a median of△ABC and DEI BA. Show that BE is also amed ian of Δ A BC.E.9. In the adigining fi |
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| 44. |
coal mi5. Find the value of 75% of 400.wants to keep itse |
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Answer» 400×75/100 400 ×75/100= 300 75 % of Rs 400,75 × 400 ÷ 100 .(Zero zero cut)75 × 4 Rs 300.Therefore, The 75 % of Rs 400 is Rs 300. |
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| 45. |
Varun is planning a rectangular flowerbed of size 30 mx 20 m in such a way that it has arectangular pond of size 3m x 2m in the middle. He wishes to plant Rose, Jasmine, Lilyand Sunflower as shown in the figure. Find the area of the portion in which he wishes toplant Sunflower.(See Lesson 20)(Hint: Diagonals of Rectangle divide the area in four cqual parts)JasmineRoseLilySunflower |
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| 46. |
s hore than the shorter side 1The difference of sqtimes the larger number. Find the two numbers.uares of two numbers is 180. The square of the smaller number is |
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| 47. |
. Find the equation of normals to the curve:y = 2 sin-3x at x(ii)y = (sin 2x + cotx + 2)2 at x=(i)=-62. |
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Answer» i)by differentiating we will get slope of tangentslope of normal=1/slope of tangent=1/0at x=(pi)/6 , y=2y=mx+cy=(1/0)x+cx=0 is the normal to the given curveii)same as 1 |
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| 48. |
Divide the first polynomial by the second polynomial ineach of the following. Also write the quotient andremainder.* 1. x2 + 5x + 6 by x + 3 2. x - 1 by x-13. t + g by r - 223 -2 |
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| 49. |
ABC and BDE are two equilateral triangles such that D is the mid poínt of BC.Then prove that area of Δ BDE-1/4 area (AABC)90. |
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| 50. |
ABC and ADC are two equilateral triangles ona commAC (Fig. 11.30). Find the angles of theresultingbasequadrilateral. Show that it is a rhombus. |
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Answer» ΔABC and ΔADC are two equilateral triangles on a common base AC. In triangle ABC, AB = AC = BC and in triangle ADC, AD = AC = DC From this we get two triangles ABC and ADC are Equilateral Triangles with same side. The equilateral triangle have same angle which is equal to 60° Here AC is the common base, We get a quadrilateral ABCD. <A= 60°+60 °=120°, <B=60°, <C=60°+60° =120° and <D=60° Also AB=BC=CD=AD All the sides of this quadrilateral are equal , so it is a rhombus. |
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