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66701.

are defined.Ifp는 qbzfand pgr= 1, then let us we prove that¼ttelesiiLet's Work out-2

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66702.

Show that the quadrilateral PQRS is a rectangle.and P.Q. Rand S are mid-points of the sides AB, BC, CDShow that the quadrilateral PORSis a rhombus.

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66703.

AABC and ADEF are congruent triangles by the Srand vent triangles by the S.S.s. congruence condition. Find ther-5)o4527rndiculars on the same line. Prove that

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50° and 60° as they are congruent the two angles of the triangle are equal to x minus 5 is equal to 45° show the value of x will be if 50 degree and the X + 5 is equal to 21 degrees show the value of x will be 25 degree..........

66704.

(a)The total surface area of a right circular cone of slant height 13cm is 90¡Calculate(i)itsradiusfiijvolume in in terms of rtCalculate(ilit

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Total surface area of right circular cone = π r ( l + r )

▪ On putting the values , we get :-

==> π r ( 13 + r ) = 90 π cm^2

==> r ( 13 + r ) = 90 cm^2 ( both sides r divided by π )

==> 13r + r^2 = 90

==> r^2 + 13r - 90 = 0

On solving , we get

==> r^2 + 18r - 5r - 90 = 0

Taking common :-

==> r ( r + 18 ) - 5 ( r + 18 )

==> ( r - 5 ) ( r + 18 )

==> ( r - 5 ) = 0 , ( r + 18 ) = 0

==> r = 5 and

==> r = -18 ( can not be negative )

__________________________

Hence , it's radius is 5 cm.__________________________

ques. = 2 ( To find it's volume )

We have ,

● Radius = 5 cm

● Slant height , l = 13 cm

● height = ?

☆ h =√ l^2 - h^2

On putting values ,

==> h =√ 13^2 - 5^2

==> h = √ 169 - 25

==> h = √ 144

==> h = 12________________________

Volume of the cone = 1 / 3 π r^2 h cm^3

==> 1 / 3 * 3.14 * 5^2 * 12

==> 1 / 3 * 3.14 * 25 * 12

==> 3.14 * 25 * 12 / 3

==> 3.14 * 25 * 4

==> 3.14 * 100

==> 314 cm^3.

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66705.

13. Visible light cannot eject photoelectrons from copper surface, whose work functi4.4 eV. Why? Prove it mathematically.

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If we consider photon corresponding to any colour and find its energy using E=hv.its value will come out less than 4.4 eV. so visible light cant eject electrons in copper

66706.

SECTION-A1.Write the formula used to calculate the total surface area of ahemispherical solid of radius 'r'.

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The area of a circle of radius r is π r2and thus if the hemisphere is meant to include the base then the surface area is 2 π r2+ π r2= 3 π r2.

thank you😊

66707.

Awellof diameter 4 m is dug 21 m deep. The earth taken out of it has been spread evenlyall around it in the shape of a circular ring of width 3 m to form an embankment. Find theheight of the embankment.

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66708.

the cost of10, A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine Ăiron sheet used at the rate of ? 5 per metre sheet, sheet being 2 m wide

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66709.

-2) rand value ofcosussinuso

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cot 45 is correct answer

cos45= sin45 = 1/√2so 1/√2/(1/√2)= 1 is the answer

sin45/sin45=1is the ans of your question

cos45/sin45=cot45=1

cos 45°/sin 45°cot 45°1

sin 45/cos 45cot 45=1

cos45/sin451/11is correct answer

cos45/sin45=1/√2×√2/1=1

sin45°/cos45°=1 answer

66710.

Write five equivalent fractioGlo

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6/10 9/1512/2015/2518/3021/35

6/109/1512/2015/2518/3021/35

6/109/1512/2015/2518/3021/35

66711.

1.A golf ball has diameter equal to 4.1 cm. Its surface has 150 dimples each of radius 2 mm.Calculate total surface area which is exposed to the surroundings. (Assume that the dimplesare all hemispherical)in boll

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ggjghlhgbcbvnvbvnvbnvjghj

150 *surface area of hemisphere +surface area of golf

66712.

A copper wire of 4 mm diameter is evenly wound around a cylinder whose length is24 cm and diameter 20 cm so as to cover the whole surface. Find the length andweight of the wire assuming the density to be 8.68 gm/cm3..

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66713.

Ali is twice as old as fatima.5years ago Ali's 3 times old Fatima's age. Find there present age

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Ali = 2 * Fatima (Ali-5) = 3(Fatima-5) Ali - 5 = 3*Fatima - 15 2*Fatima = 3*Fatima - 10 Fatima = 10 Ali = 20

66714.

1. Half cubic meter of gold-sheet etenueu DyFind the thickness of the gold-sheetthectaune 1000m2. A box with lid is made of 2cm thick wood. Its external length, breadth and height are 25cm, 18cm,and 15cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume

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66715.

16. Write tiveram7. Find ten rational numbers between - and

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66716.

6. Write five rand7. Find ten rational numbers between - and

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66717.

write a rational number between rational number

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1/2 b/w 1 and -1. !

66718.

614 as and B are the gesels of quader-Fátic polynomial fla): 2-34-2find the polynomial whose gereesCase (22+362 and (32+2B)- Ans: - U2-15w+52)

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let alpha= p, bita =qx^2-3x-2p+q= 3pq= -2sum of given zeros= 2p+3q+3p+2q= 5p+5q=5(p+q)= 5×3= 15product of given zeros(2p+3q)(3p+2q)= 6p^2+4pq+9pq+6q^26(p^2+q^2)+13pq= 6{(p+q)^2-2pq}+13(-2)=6{(3)^2-2(-2)}-26=6(9+4)-26=78-26= 52polynomial =x^2-x(sum of given zeros)+product of given zerosx^2-x(15)+(52)x^2-15x+52

let alpha=p and bita = q; p+q =3; pq=-2; sum =2p + 3q +3p + 2q = 5p + 5q =5( p + q) 5(3)=15; product (2p + 3q) (3p + 2q) (2p(3p))+(2p(2q))+3q(3p)+3q(2q)= 6p^2+4qp+9pq+6q^2 = 6(p^2+q^2)-13pq. =6((p+q)^2-2qp)+13(-2) =6((3)^2-2(-2))-26= 6(9+4)-26=6(13)-26=78-26=52; x^2-15x+52=0

66719.

11 A biscuit-making unit uses 4.55 kg of salt every week. How muchsalt is used by the biscuit-making unit every day?

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Divide 4.55 kg by 7

Bcoz 7 days r in weeks

So, ans is

4.55÷7=0.65

Divide 4.55 kg by 7 Because 7 days are in weeks So,4.55÷7=0.65 ans

0.65 kg is the right answer

0.65 is the answer to your question

66720.

1000At the foot of the mountain, the angle of elevation of its summit is 45°. After ascendingmetres towards the mountain inclined at 30°, the elevation becomes 60°. The height of themountain is:(A) 1364 m(B) 1365 m(C) 1366 m(D) 1367 m.

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1

2

3

66721.

ofy in Sea1. Which gas is called dry ice and why?

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Dry Iceis the common name for solid carbon dioxide (CO2). It gets this name because it does not melt into a liquid when heated; instead, it changes directly into agas(This process isknown assublimation).

66722.

find a rational number between. find ten rational numbers between 2/3 and 3/4.

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66723.

write ten rational number between 0 and 1

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To find 10 rational number between 0 and 1

Divide and Multiply 1 by 11

Now,10 rational numbers between 0 and 11/11 are 1/11, 2/11, 3/11, 4/11, 5/11, 6/11, 7/11, 8/11, 9/11, 10/11

Find 10 rational no. between 0 and 1divide and multiply 1 by 11now,10 rational no. between 0 and 11/11 are 1/11,2/11,3/11,4/11,5/11,6/11,7/11,8/11,9/11,10/11

66724.

be put at equal distances ll idifferent55. At the foot of a mountain the elevation of its summit is 45°top of thetree is 45°after ascending 1000 m towards the mountain up a slopeof 30° inclination, the elevation is found to be 60°. Findthe height of the mountain.e height of[HOTS]

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66725.

4. In the figure 10.11, /l| m || n. Find x and Ly50°7m30Fig. 10.11167

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l is parallel to m so angle A = angle supplement xx = 180° - 50° = 130°( linear pair)y = 30° ( Alternate angle)

66726.

Find the equation passing through two points lies x+2y+5=0 and 3x+4y+1=0 and passing through the point C(3,2)

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66727.

st of 1 kg of almonds.If 50s of almonds cost 50, find the cost of 1 kg of a

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Cost of 50 gm of Almonds =Rs 50

Cost of 500 gm of Almonds= Rs 500

Therefore, Cost of 1 kg or 1000 gm of Almonds = Rs 1000

100p is the answer of this question

cost of 50 grams almonds = ₹50cost of 01 gram almonds = ₹01so, cost of 1kg (1000grams) almonds = ₹(1×1000) = ₹ 1000

hence, cost of 1kg almonds are ₹1000.

66728.

In what ratio the two kinds of tea must bemixed together on at Rs. 48 per kg andanother at Rs. 32 per kg so the mixture maycost Rs. 36 per kg ?

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66729.

TUUL SICOSDE23) Calculate curved surface area of a cylindrical shaped piller of diameter 55m andheight of 3.5 m

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66730.

Find six rational number between 3/5 and 4/5

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3/5 = 0.6 4/5 = 0.8 numbers are 2/3 , 17/25 , 69/100 ,7/10 ,18/25 ,3/4

66731.

find three different irrational number between the rational number 5/7&9/11

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66732.

s 1t dhs mih teym ฯ un AP ust, and nth term t스 츄,.tum showวาthot uts (mn)th te s 1.

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66733.

find ten rational number between -5/6 and -5/8

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66734.

(ii) How much will the Iten cost eitern čUst he14) A person's salary was reduced by 20%. What percentage should be added to get back hisoriginal salary?

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Let his original salary= ₹100020% of his original salary, (20/100)*1000=₹200

Salary after reduction=₹1000-₹200=₹800

Now,₹200 should be added to his salary in order to get back his original salary

Therefore, percentage of salary needed to be added= (200/800)*100%=25%

66735.

Ar the foot of a montain the elevation of its mmit isust After ascending 1000m towards the mountain up aslope of 30 inclination, the elevation is found to beFind the height of the mountain

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66736.

10. Show lat the o11. Obtain the differential equation of the farmly drtircles passing through the points (a,0)and (-a ,0).

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66737.

DIFFERENTIAL CALCULUS167Example 4. Show that the evolute of the cyeloid x = a(t + sin t), y = a(I-cos t) is thecycloid x = a(t-sin t), y = 2a + a( 1 + cos t).Sol. Given x = a(t + sin t), y = a-a cos t

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2asint/2 answers because of i will try this model questions

66738.

ample 1:The numbers (25-x), 34, (59 -x) and 102 are in proportion. Find the value ofx.n nronortion

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these 4 are in proportion so34/(25-x)=102/(59-x)2006-34x=2550-102x68x=544so.x=8

66739.

(59)10=(?)2

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let unkown number be x(59)10=x×2x=(59)10/2x=590/2x=295

66740.

A man has 40 kg of tea, a part ofwhich he sells at 5% loss and therest at the cost price. In thisbusiness he incurs a loss of 3%. Findthe quantity which he sells at thecost price.

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Let quantity of tea sold at 5% loss is x

Then,5% of x =3% of 405% of x = 1.2x= 1.2 * 100/5x = 24

Therefore,Quantity of tea sold at cost price = 40 - x = 40 - 24= 16 kg

66741.

3.-Almonds cost Rs 480 per kg and cashewnuts costRs 340 per kg. Find the ratio of their costs.

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66742.

21Find the mean and mode age in years for the following frequency distribution:Age (in years)10 19 20 29 30-3940 49 50 59 60 69No. of persons10142812Р.T.О.

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lets take age=x so and z is the average of age.so table will be like following:x z no.of persons10-19 14.5 820-29 24.5 830-39 34.5 1040-49 44.5 1450-59 54.5 2860-69 64.5 12

so mode =(14.5*8+24.5*8+34.5*10+44.5*14+54.5*28+64.5*12)/(8+8+10+14+28+12) = 44.75

and bahulak is the number which one is appear frequently or more no. of times so here 8 is appearing more than any number so bahulak is 8.

66743.

AL、そt is in the form of frustum of a cone and holds 28.490 litres of water. The radi of the topand bottom are 28cmand 21cm respectivcly. Find the height of the bucket.lar cylinder

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R = 28 cmr = 21 cmLet height of frustum be h cm

∴Volume held by bucket = 28.490 litres = 28490 cm³Also,

Volume of frustum = π(R²+Rr+r²)h/3=> 28490 = 22*(784+588+441)*h/(3*7)=> 1813h =28490*21/22=> h = 27195/1813 = 15cm

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66744.

Find 5 rational number between -5 & -6.

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66745.

find 5 rational no. between -5&-6

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66746.

-to2what ust be added

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Let the polynomial to be added be Z. Then, (2x²-3x-8)+Z = (3x²+X+6)=> Z = (3x²+X+6)-(2x²-3x-8)=> Z = x² +4x+14.

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66747.

13fin a triangle ABC, the side c and the angle C remains constant, while the remaining elements arechanged slightly using differential show that + = 0.

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66748.

15. Three boys sell some magazines for a totalprofit of 400. The profit is shared betweenthem in a ratio equal to the number ofmagzines they sell. If they sell 70, 80 and 100magzines, how much profit does each receive

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66749.

2Findthemeanandmodeageinyearsforthefollowingfrequencydistribution:10-19 20-29 30-39 40-49 50-59 60-69Age (in years)(37屯聊,No. of persons8 10 14 28 12

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66750.

Booyah Burger's sells 5sides of fries for every 7burgers. How many burgerswill they sell if they sell 95sides of fries?

Answer»

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