Explore topic-wise InterviewSolutions in Current Affairs.

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1.

F40na L Latal Sugpac arxtq(IT=3:)तु वि १ ज.४। 1/0 (1071 2ू-प-स/५४_ दि का ex. & o,

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2.

If A is Idempotent muithen Show +hat - 3+2)":= 1+(2-1)A

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A^2 = A

A^3, A^4, A^5.......A^n = A

(I + A)^n = nC0 I^n + nC1 I^n-1A + nC2 I^n-2 A^2 +...... nCn A^n

= nC0 I^n + nC1 A + nC2 A +...... nCn A

= 1* I + A(nC1 + nC2 +......... nCn)

= I + A[(nC0 + nC1 + nC2 +......... nCn) - nC0]

= I + (2^n - 1)A

3.

1. Show that in aquadrilateral ABCD, AB +BC+CD + DA> AC+ BD

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4.

11. If P and Q are any two points lying respectively on the sidesDC and AD of a parallelogram ABCD then show hatar(AAPB) ar(ABQC).

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1

2

5.

7... एक काम को 2 और 8 कमश 20 व 30 दिन में करते है 8 नेअकेले -काम करना, शुरू किया 5 दिन के वह काम को छोड कर चला गयाशेष को 9. कितने दिनो, में समाप्त करेगा ?क 18 दिन ख 22 दिन. ग 225 दिन घ 24 दिन

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thanks bro

6.

sa miumglein which atinades BE and CF tovides AC and AB are egual (see Fig. 7.32) ShowhatG)AB = AC,ABC is an isosceles triangle.

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7.

2. Find the missing terms, if following are in A.P2, □, 26, □

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If given terms are in AP

Then,a1 = 2a3 = 2 + 2d26 = 2 + 2d2d = 24d = 24/2 = 12

a2 = 2 + 12 = 14a4 = 2 + 3*12 = 38

Therefore, missing terms are 14 and 38

8.

In the figure, DE || OQ and DF || OR. Show thatEF || QR.

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9.

missing terms of4,23,122,621,=?

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10.

In the following APs, find the missing terms in the box2,___,26

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11.

In the following APs, find the missing terms in the boxes0226

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12.

inthebox. In the following APs, find the missing terms0 22613,

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13.

In the following APs, find the missing terms in the boxes02-B26) 5. E卧囚. 9

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14.

2.In the given figure, DE|| BCand DE: BC 3:5.Calculate the ratio of the areas of AADE andthe trapezium BCED.

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15.

Mathslass-vin Extra questionsवह सबसे छोटी संख्या ज्ञात करे जिससेकोगुगा करने पर संख्या एक पूर्ण वर्षसंख्या हो जाये।1350

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1350 का गुणन खण्ड करने पर : 1350 = 2×3×3×3×5×5 इसे 2 × 3 से गुना करने पर यह एक पूर्ण वर्ग संख्या बन जाएगी

अतः 6 ही वही संख्या है जिससे 1350को गुना करने पर एक पूर्ण वर्ग संख्या प्राप्त होगी।

16.

(A) 2o.In the following APs, find the missing terms in the b(0) 2,, 2613,5,(iv) -4,,. -22

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2 , 2+12=14 , 14+12=26 18 , 18-5=13 , 13-5=8 , 8-5=3 5 , 5+1.5=6.5 , 6.5+1.5 = 8 , 8+1.5 = 9.5 -4 , -4+2=-2 , -2+2=0 , 0+2=2 , 2+2=4 , 4+2=6 53 , 53-15=38 , 38-15=23 , 23-15=8 , 8-15=-7 , -7-15=-22

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17.

U1.Based on Practice Set 4.11.Find the reduced form of the ratio of the firstquantity to second quantity.i. 2 metres, 150 cm[1 Mark]Marks

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2 metres, 150 cm2 metres = 2 × 100 = 200 cmRatio = 200cm ÷ 150cm = 4 ÷ 3

Ratio = 4 : 3

18.

RailwayCBT Exam Held OWhat is the HCF of2- and49(1) 200(2) 500Shri Y nins amarathon and starts from point

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HCF of fractions =HCF of numerators / LCM of denominators •°•Nume.=HCF of 15 ,12,40 that is 1 •°•Deno.=LCM of 14,35,49 that is 490 so answer is option 2 that is 1/490

1) is the correct answer

I thought correct answer is 2 options

correct answer is 1HCF of( 15 ,12 ,40). 1----------------------------- = ----LCM of (14,35,49). 490

Hope you understood that question

number 2 would be the best choice

19.

show tha the function f(x)=x^x is minimum for x=e^-1.

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f(x) = x^xDF(x)/dx= x^x(log(x)+1)when equals to 0x= 1/e

20.

AandBareacuteangles such that cos A-cos B,then show thaA=cos B, then show thatIf

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Too complicated

21.

8. If O is a point within a quadrilateral ABCD, show thaOA +OB+ OC+ OD> AC+ BD.

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22.

1. If one angle of a triangle is equal to the sum of the other two, show thathe triangle is right angled.

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suppose the angles are x , y and z . z being the greater angle

so, from equation x+y = z now sum of angle = 180° or , (x+y)+z = 180° => z+z =180° => 2z = 180°z = 180/2 = 90°

so, the greatest angle is 90° . hence proved.

23.

A.In the given figure DE Il BC.Find the value of EC

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24.

(vin) 1.9x+ 3.6 = 2.5x+ 3

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25.

EXAMPLE3 Prove that Vin is not a rational number, if n is not e

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tq😇😇

26.

EXERCISE 401. Represent each of the following rational numbers on the number line:-VinNO(vi) - 1(vii)(viii)+

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27.

5. The diagonals of a quadrilateral ABCD are equal. Prove that thequadrilateral formed by joining the midpoints of its sides is a rhombus.

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28.

In Figure 5, ABCD is a squareFind the area of the shaded region. (Use π = 3.14)with side 2 V2 cm and inscribed in a circle.Figure 5

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Shaded region = Area of circle - areaof squarenow diameter = diagonal of square

= area of circle = π*2*2- 84.56cm^2

29.

In Figure 5, ABCD is a square with side 2V2 cm and inscribed in a circle.Find the area of the shaded region. (Use 314)TDFigure 5

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part1

30.

Divide the share 100 between A and B such that twice of A's share is less than3 times of B's share by 200.

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Let share of A=x and share of B=ygiven that2x=3y-200x=3y-200/2:y+3y-200/2=1002y+3y-200=200 (mult by 2 both side)5y=400y=80x=100-80=20

let A= x and B= y; 2x = 3y -200; X= 3y - 200; 2( 3y -200)-3y = -200;; 6y - 400 - 3y = -200;; 3y = -200 +400;; y=200/3=66.66

31.

2.A chord ofa circle ofradius 12 cm subtends an angle of 120° at the centre. Find theof thee corresponding minor segment of the circle (user -3.14 and 3 -1.732)

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32.

18. Divide the share 100 between A and B such that twice of A's share is less than3 times of B's share by 200.

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Let A’s share be x.

Then B’s share will be (100 - x)

According to the question -:

Twice of A’s share, that is 2x

Is less than, that is (- 2x)

3 times B’s share that is 3(100 - x)

Is 200.

Now, let us write the equation as per the question. We know all the terms, right? Let us put them together.

3(100 - x) - 2x = 200

Now we know the equation, let us solve it. On solving the bracket, we will get - :

300 - 3x - 2x = 200

300 - 5x = 200

-5x = 200 - 300

-5x = - 100

Now, (-) and (-) gets cancelled, we get - :

x = 20

That is A’s share was 20 and that of B’s was 80

33.

(iii) area of the segment formed by lll CA chord ofa circle ofradíus 15 cm subtends an angle of 60° at the centre. Findof the corresponding minor and major segments of the circle.(Use π-314 and-3-1 .73)6.the a

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34.

Find the area of the minor segment ofa circle ofradius 14 cm, when the angleof the corresponding sector is 60°.X11 10 urhore arcs drawn with centres

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35.

39. The value of tan 370° cot 10° is equal to

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tan370*cot10=tan370/tan10

tan370=tan(360+10)=tan10

tan370/tan10=tan10/tan10 =1

36.

370-0=

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370-0=370 (basic subtraction)

37.

5 figure, O is the centre of370

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x=37y=53

x = 37y =53is the correct one

38.

The radii of the ends of a frustum of a cone 45 cmrespectively, find the volume.high are 28 cm and 7 cm

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39.

An amount of 720 is divided among A, B and C such that B's share is thrice that of A and Cshare is twice that of A Find the share of A, B and C

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40.

How many rational number lies between 2 and 3.

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Between 2 and 3 there are infinite rational numbers as we can write decimals numbers between 2 and 3 in form of p/qsuch that q is not 0

41.

The rational number lies between32and7is3

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Rational number between 3/7 and 2/3 = (3/7 +2/3)/2 = (9+14)/42=23/42

42.

4(a) The rational number lies between 0 and 1.

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43.

, Find the Ue values of y for which the distance betwen the points P(z-3) and 0(10,y)is10 units.

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44.

antssaplings,inarowinhergarden.Thedistancebetwentwoadjacentsaplings is Fm. Find the distance between the first and the last sapling34

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45.

. İftan θ + cot θ-1,then find the value of tan-g + co? θ.orram ARCD taken in order

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46.

"की"le 12 16+ 9

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(3/16) +(-3/16) 0 answer

0 is the correct answer of this question

0 is the correct answer of the given question

0is the answer of the question

47.

A chord ofa circle ofradius 10 cm subtends a right angle at the centre. Find tHe lre t(i) minor sector(i) major sector

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48.

7. A cylindrical tank has a capacity of 6160 cu cm. Find its depth if its radius is 14 m. Calculate thepainting its curved outer surface at the rate of3 per square metre.| Take π-지

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As the unit ofvolume given in the question is too small so considering it 6160 m³Volume of cylindrical tank =π r²×h⇒6160=π×(14)²×h⇒h = 10 mnow, the area of curved surface= 2π r×h =2π×14×10 =880 m²cost of painting that surface = Rs 3×880 = Rs2640

49.

1 P. Q R and S are respectively the midpoints of thesides AB, BC, CD and DA of a quadrilateral ARCDShow that(i) PQIAC and PQ = AC(u) PQI SR(ii) PQRS is a parallelogram.‘

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50.

le 7. If xPy (x+y)ptq prove that

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