Explore topic-wise InterviewSolutions in Current Affairs.

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1.

&>८रिदिलि शत. दिरिएएटनचु P x\(effj\w'ffllz/f F e p oda !““ein\-q et ad Y F P " kN i

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let 0.47 bar be x

So,

x = 0.477777..... (1)

Multiply by 10 on both sides

10x = 4.777777...... ....(2)

Mutliply by 100 (1)

100x = 47.777777..... ....(3)

(3) - (2)

90x = 43

x = 43/90

2.

nack lacikthind the tdth of fhe tuels

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Width of track = (outer circumference - inner circumference)/2π= (528-61)/2π= 74.33 m

Please hit the like button if this helped you

3.

of1.If α and β are the zeroes of x2 + 7x +12, then find the valueCA

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As alpha+ beeta= -b/aand alpha* beeta= c/a

4.

1.Δ ABC and Δ DBC are two isosceles triangles onthe same base BC and vertices A and D are on thesame side of BC (see Fig. 7.39). If AD is extendedto intersect BC at P, show that(İ) ABD ACD

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5.

6Solve.In the adjoining figureseg AD L seg BC, B-D-C.)Show that

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6.

22. In AABC, AD is a median and E is themidpoint of AD. If BE is produced to meetAC in F, show that AF = AC3

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7.

2.ABCD is a parallelogram. AEison DC and CF is perpendicular on ADIf AB- 10 cm, AE-8 cm and CF-11Find ADperpendiF.

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In this fig we have 2 altitude , one has base DC and other have base BC and BC=AD and AB=DCtherefore area of llgram will be BM x DC which is equal to DL x BCby solving both we get 8 x 10= 6 x Bc80/6= AD. ( since BC =AD)AD=40/3 =13.33 cm

8.

Δ ABC and Δ DBC are two isosceles triangles onthe same base BC and vertices A and D are on thesame side of BC (seç Fig. 7.39). IfAD is extendedto intersect BC at P/show that1.(ii) Δ ABPA ACP(ii) APbisects Z Aas well as 4 D.iv) AP is the perpendicular bisector of BC10Fig. 7.39

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9.

Δ ABC and Δ DBC are two isosceles triangles onthe same base BC and vertices A and D are on thesame side of BC (see Fig. 7.39). If AD is extendedto intersect BC at P, show that1,(ii) ABP2 ACP(iii) AP bisects < A as well as D(iv) AP is the perpendicular bisector of BC.

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10.

(10) If a + b + c =0, then find the value of +b+bcca

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a + B + c=0, a^3 + b^3 + c^3=3abc;, a^2/bc + b^2/ac + c^2/ab=a^3+b^3+c^3/abc=3abc=abc=3

the right answer is 3

3 is right answer of this question

a+b+C=0so a^3+b^3+c^3-3abc=0a^3+b^3+c^3= 3abca^2/bc+b^2/ca+c^2/aba^3+b^3+c^3/abc= 3abc/abc= 3

Given a + b + c = 0 ⇒ a3 + b3 + c3 = 3abc → (1) Consider, (a2/bc) + (b2/ca) + (c2/ab) = (a3 + b3 + c3)/abc = 3abc/abc = 3 [From (1)]..

3 is the correct ans ok

3 is correct answer this question

3 is the following question answer.

3 is the correct answer

the answer of this question is 3

-2 is the correct answer

a+b+c=0

there fore (a+b+c) square=2abc

3 is the correct answer

3 is the best answer

3 is the right answer

For a+b+c=0a^3+b^3+c^3=.3abcNow , a^2/bc+b^2/ca+c^2/ab= a^3+b^3+c^3/abc= 3abc/abc= 3

3 is the correct answer

3 is the best answer of the following question

the correct answer is 3

3 is the right answer for the equation

11.

+ Cc+ aIf a + b + c0, find the value ofbcca

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b+c=-ac+a=-ba+b=-cso, LHS a^2/bc + b^2/ca + c^2/ab LCMof the denominators bc, ca and ab is abc. =(a^3 + b^3 + c^3) / abc Given that a + b + c = 0 Thus, a^3 + b^3 + c^3 = 3abc Replacing numerator with 3abc, 3abc / abc = 3

12.

58. In the given figure, ΔΑ BC is right-angledat A. Semicircles are drawn on AB, AC andiBC as diameters. It is cmand AC 4 cm. Find the area of theshaded region.Pgiven that AB 3os[CBSE 2017]B

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13.

Q. I 8 In the given figure, triangle ABC is a right angled triangle in which LA 90 . Semicircles are drawn on AB,AC and BC as diameters. Find the area of Shaded region. Given AB-3 cm and AC = 4 cm.

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14.

In the adjoining figure 3, AD is the bisector ofthe exterior <A of ΔABC. Seg AD intersects theBD ABside BC produced in D. Prove that CD ACFig. 3

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15.

1.ABC is a triangle. D is a point on AB such that AD =-AB and E is a4point on AC such that AE =-AC. If DE = 2 cm find BC.4

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16.

10. A dealer sold two TV for 4000 each, neither losing nor gaining in the deal. If he sold oneTVatagain of 25%, find the loss/gain percent in other

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17.

the selling prize of two article are same one. one sold 10 % profit and other is sold 5% loss what is the effective profit

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effective profit =110-95 =15%

letter appear to be rust resistant when view glass slab disappear due to you give me the answer

18.

In adjoining figureAEI seg BC, seg DF 1 line BC,A A ABC)AE = 4, DF = 6, then find AC A DBC)

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19.

. Find the final selling price when(i) Marked price-Rs 350, discount-5%(ii) Marked price-Rs 555, discount-8%

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Thanks

20.

The marked price of a radio is 20% more than its cost price. If a discount of 10% is given on the marked price, the gain percentage is

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Let CP = 100.Then, MP = 100 + 20% of 100 = 120.Now, SP = 120 - 10% of 120 = 108.Gain = 108 - 100 = 8%Gain = (8 *100)/100 = 8%.

Short-cut100(CP)==20%(up)==>120(MP)==10%(disc.)==>108.% gain = 8%.

thank you.

21.

How many mid points does a segment have ?(A) only one(B) two(C) three(D) many

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A line segment can only have one midpoint. A) only one

22.

and N are the mid-points of opposite sidesAB and CD of a parallelogram ABCDrespectively. AN and CM are joined and ifP and Q are the mid-points of AN and CMrespectively, prove that PMQN is aparallelogram.14. M64Mathematics-IX

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Consider a parallelogram ABCD.

AB = CD [ Opposite sides of parallelogram are equal]

So, AM = CN and AM ll CN [ Since AB ll CD ]

So, AMCN is now a parallelogram.

Now, P and Q are midpoints

MC ll AN , so MQ ll NP

and as opposite sides of parallelogram are equal so, MQ = PN

therefore PMQN is a parallelogram.

23.

lochombus and P:Q. R and S are Owthe mid-points of the sides AB.u.B,CD andiund DA respectively, Show that the quadrilateral PORS is a rectanglermctangle and P. Q. R and S are mid-points of the sides AB, BC.e a.. dcilater1 PQRS įs a rhombus.

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24.

wmid points.M a ABC , the length BC extended to pointDF are the mid points of sine AB & AC.Ar ADEP: Ar AABC = ?

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25.

dbo1+ sin x

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26.

8 - 1/3 39 v 175* (ऌि) [ass)

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27.

The population of a city was 20,000 in the year 1997. It increased at the rate of 5% p.a. Find the population at the end of the year 2000.

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28.

Example 14: The population of a city was 20,000 in the year 1997. It increased atthe rate of 5% pa. Find the population at the end of the year 2000.

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:A = P(1+ R/100)NInitial population of the city (P) = 20,000Rate of increase (R) = 5% paN (number of years) =3Population of the city after 3 years = AA = 20000(1+5/100)³ = 20000(105/100)³ = (20000*105*105*105)/(100*100*100)A = 23152.5So, population of city after 3 years = 23152.5

29.

ABC is an isoceles triangle with AC=BC.if AB^2=2AC^2,prove that ABC is a right triangle

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thank u

30.

he cost of5 toy cars is? 1230. How many toy cars canbe bought for䚏7,872?

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5 are of 1230 so in 7872 number of cars are 7872×5/1230 = 32

Rong

now check

Ya saval

Kro

31.

A milkman sold two of his buffaloes for ? 20one he made a gain of5% and on the other a loss of 10%.Find his overall gain or loss. (Hint: Find CP of each)each. On

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32.

A milman sold two of his buffaloes for t 20,000 each.on one he made a gain of5% and on the other a loss of.10%. Find his overall gain or loss. (Hint: FindCP of each)

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33.

The ratio of the quantities of hydrochloric acid to water in 48 liters of mixture is 5:3 .How many liters of water should be added to make their ratio 3:2 ?

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Total quantity = 48 litres

Ratio of hydrochloric acid to water = 5: 3

Quantity of acid = 5/(3+5) * 48 = 5/8 * 48 = 30.

Quantity of water = 3/(3+5) * 48 = 3/8 * 48 = 18.

If the ratio of acid to water is 3: 2

Quantity of acid = 3/(2+3) * 48 = 3/5 * 48 = 29.

Quantity of water = 2/(2+3) * 48 = 3/5 * 48 = 19.

Sorry this is not answer

34.

An article was sold for? 250 with a profit of5%,what was its cost price

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Selling price of an article = Rs 250Profit = 5%Cost price = (100 x SP) / ( 100 + gain)Cost price = (100 x 250) / 105Cost price = (100 x 250) / 105 = Rs. 238

35.

If tan x =3/4 then cos^2x - sin^2 x =?

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tanx = 3/4tan^2x = 9/16sec^2x - 1 = 9/16sec^2x = 25/16secx= 5/4cosx=1/secx=4/5sinx=√1-cos^2x=3/5cos^2x-sin^2x=16/25-9/25=7/25

36.

4. Cost of5 kg of wheat is 91.50.(a) What will be the cost of 8 kg of wheat?

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37.

. When a polynomial 6x +8x3+27x2+7isdividedbyanotherpolynomial3x4+I,the remainder is of the form mx+n. Find m and n.ment inining the noints

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please like my answer if you find it useful

38.

Theorem 61.prove that a line drawn throughof one side of a triangle parallel tobisects the third side. (Recall that youanodher sidehave proved it in Class EX)

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39.

Fig. 2QS. A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partlyfilled with water. If the sphere is completely submerged, then calculate the rise of waterlevel (in cm).s tiah adrt dbo noint P that divides the line segment inining the points A(2. -5) and

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40.

Example 14: The population of a city was 20.000 in the year 1997. It incrcased atthe rate of5% pa. Find the population at the end of the year 2000.

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Population in 1997 P = 20000Population in 2000 A =?Rate of Increase R = 5%Number of years n = 3

Then,A = P(1 + R/100)^3 = 20000(1 + 5/100)^3 = 20000(21/20)^3 = 20000(1.157) = 23140

Therefore population at the end of year 2000 is 23140

41.

33 )3 - x=dx equals toاينc. sin" + CN|دd. of thesed. of these

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42.

5. Yolupae 1 m10liters b) 100 liters e) 1000 liters d) of these0 liters c) 1000 liters d) of tkese.

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43.

z Figure 8. the sides AB, BC and CA f triangle ABC touch a cirele withcentre O and radin r at P Q and B rapectively22Q.Fizure 6Peone that:// AB CQ AC + BQArea (Δ ABC)s-perimeter of Δ ABC) x r2

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44.

d) of theseRange of the function f(x) = 1 + 3 cos 2x is:-a) (2,4) b) [-2,4]2xvi)d) of these

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option b is correct since cos 3x will lie between -1 and 1

45.

Pe 8.9: The line segment joining the mid-points of rwo sides of a triangle isthethird side.

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46.

-4.Circle Chaving radius 13 intersects circle P withradius 15 at two different points. If the distancebetween the two intersecting points for the twocircles is 24, then what is the distance between thecenters of the two circles?(A)(B)(C)(D)(E)1112131415

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I think(E) 15is a write answer

47.

With P as the centre and some convenientradius, draw an arc intersecting line 1 at twopoints A and B.1.

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Please mention the complete details of the question!

48.

. Water is flowing at the rate of5 km/hour through a pipe of diameter 14 cmintoarectangulartanof dimensions 50 m x 44 m. Find the time in which the level of water in the tank will rise by 7 cm

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49.

, The diameter of the moon is approximately one fourth of the diameter of the earthFind the ratio of their surface areas

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50.

A coin is tossed 200 times. 75 times head appeared at random. Find theprobability of getting a head and a tail..

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