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74601.

In the given figure, find the value of x and y if AB | CDA+20°22°58 R

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<aqp=20 and <prc=22to find the value <qpr=xx=180-44=136to find the value of<pqr=yy=180-78=102

74602.

5१3 --6 5 5ुणक9 x 50 _ 22 x 58

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74603.

15 litres of a mixture contains alcohol and water in the ratio 1 : 4. If 3 litres of Water is mixed init, the percentage of alcohol in the new mixture will be

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Thanxx sirr

74604.

18. In a vessel, there is 81 litres of pure milk.1/3rd of themilk is removed and same quantity of water is added.Again 1/3rd of the mixture is replaced by same amountof water. Find the ratio of milk and water in the newmixture.

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74605.

In the figure, if AP= 12cm , PB = 16cm . Let π = 3, then the perimeter of shaded region is {A) 54 cmB) 56 cm90°58 crnD) 64 em

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74606.

8. Find the mean, the median and the mode of the33, 92, 55, 90, 35. 77. 58, 41. 80. 64. 46

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74607.

2. Seg RM and seg RINare tanBeseZMON3. What is the distance between two parallel tangents of a circlelu find the distance hetween their centre

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if the tangents have to be parallel, then the perpendicular drawn from the point of intersection of the tangent and the circle which will meet at the centre should form the straight line hence the distance between these tangents is equal to the diameter of the circle.9cm

74608.

6n can never ends with digit 0

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As6n = 6×nas a number ends with when it has 5 as its factor exclude 5.so here onlyn can take 5 or multiple of 5

74609.

09. ABCD is a trapezium in which AB || DC and itsdiagonals intersect each other at the point O. ShowAO COBO DOthat

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Given: ABCD is a trapezium where, AB ll CDDiagonals AC and BD intersect at point O.

Construction: Draw a line EF passing through O and also parallel to AB.

Now, AB ll CD, since by construction, EF ll AB ⇒ EF ll CDConsider the ΔADC,EO ll DCThus, by Basic proportionality theorem, (AE / ED) = (AO / OC) .... (i)Now, consider Δ ABD, EO ll AB,Thus, by Basic proportionality theorem, (AE / ED) = (BO / OD) .... (ii)From (i) and (ii), we have, (AO / OC) = (BO / OD) (since L.H.S of i and ii are equal)Hence we proved that, (AO / OC) = (BO / OD)

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74610.

x.14.Aroller2 m long and 0.7 m in diametermakes 60 revolutions in a minute on aroad. The area rolled by it is:(A) 264 m2(C) 66 m2.(B) 132 sq.cm(D) none of these

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radius = 35 cm

length = 200cm

therefore its a rollers wheel

so, curved surface area = 2 * 22/7 * 35 * 200

= 44000cm²

= 4.4 m²

if it takes 60 revolution therefore it covers the area of = 4.4 * 60 = 264 m²

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74611.

to: The diagomts of a iquadrilateral ABCD inersecr oncly oler at the paix O such ileiAO coBO DO Show stui ABCDisattrape/ium

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Given: Quadrilateral ABCD in which diagonals AC and BD intersects each other at O such that AO/BO = CO/DO.

To Prove: ABCD is a trapezium

Construction: Through O, draw line EO, where EO || AB, which meets AD at E.

Proof: In ΔDAB, we have

EO || AB

∴ DE/EA = DO/OB ...(i)[By using Basic Proportionality Theorem]

Also, AO/BO = CO/DO (Given)

⇒ AO/CO = BO/DO

⇒ CO/AO = BO/DO

⇒ DO/OB = CO/AO ...(ii)

From equation(i)and(ii), we get

DE/EA = CO/AO

Therefore, By using converse of Basic Proportionality Theorem, EO || DC also EO || AB

⇒ AB || DC.

Hence, quadrilateral ABCD is a trapezium with AB || CD.

74612.

10. The diagonals of a quadrilateral ABCD intersect each other at the point O such thatAO COBO DOShow thatABCD is a trapezium.

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74613.

4 time a number when increased by ten given 58.find the number

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74614.

uLUSTRATION10.A consumer buys 18 units of a good at a price of 9 per unit. The priceof demand for the good is ) 1. How many units the consumer will buy at a price ot t 10per unit? Calculate.(C.B.S.E. Delhi 2014)SOLUTION. Given that P = 9, Q-18, P1-7 10、dP-+ 1, Ed-(-) 1, AQ-XAQ P1 18 9x18X2.. Fall in the Quantity 2 units

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74615.

EXERCISE TEEstimate each of the following products by rounding off each number to the nearest ten:1. 38 x 632. 54 x 473. 28 x 634. 42 x 755. 64 x 586. 15 x 34

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1)38*63=40*60=24002)54*47=50*50=25003)28*63=30*60=18004)42*75=40*80=32005)64*58=60*60=36006)15*34=20*30=600

runningswimMingsleeping

38 estimate to the nearest ten = 40

74616.

5. Prove that the line segment joining the points ofcontact of two parallel tangents of a circle, passes[Delhi 2014] (2)through its centre.

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74617.

Fill in the blanks.are the lines that are always the same distance apart, and will never intersect.

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parallel lines are the right answer.....

parallel lines is the best answer

74618.

36. The rain water from a roof of dimensions 22 m x 20 m drains into a cylindrical vesselhaving diameter of base 2 m and height 3.5 m. If the rain water collected from the roofjust fills the cylindrical vessel, then find the rain fall in cm. INCERT EXEMPLAR

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volume of Cylindrical tankl × b × h = πr^2 h22×20×h = π (1)^2 × 3.5h = 1/40 mor h = 2.5 cmso the rainfall in cm is 2.5 cm

74619.

A road roller makes 200 rotations in covering 2200 m.Find the radius of the roller.

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In one rotation roller covers 2 pi r

In 200 rotation it will cover 200 × 2 pi × r

= 400 pi r

So, According to question

2200 = 400 pi × r

r = 2200/400 pi

r = 22/4pi

r = (22 × 7)/4 × 22

r = 7/4 m

74620.

|-12. (81)-(2)。?2 + 3(a) 9 (b) 3 (c)3 (d)(-1)13141 +5-113.(b) 992(d) -229 x 37 x5565 x102 × 153434

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(-1)^131 = -1. 4-¹ + 5-¹ = 1/4 + 1/5 = 9/20.So, (-1)^131 / [ 4-¹ + 5-¹] = -1/ (9/20)= -20/9= -2 2/9.

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add the following rotation number

74621.

The diagonals of a quadrilateral ABCD intersect each other at the point O such thatAO COBO DO10.Show that ABCD is a trapezium

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74622.

10. The diagonals of a quadrilateral ABCD intersect each other at the point O such thatAO CCBO DO= nShow that ABCD is a trapezium.

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tysm..❤❤

74623.

By subtracting 45 from 2 times a number we obtain 3 times the number. Find the number.4 times a number when increased by ten gives 58. Find the number

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Let no. be n2n - 45=3nn = - 45

4n + 10 = 584n = 48n = 12

74624.

10.Divide375 among Amit, Sumit and Nimit in the ratio 3:5:7.

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let the ratio be pso amit, sumit and nimit get 3x, 5x , 7x respectively therefore3x + 5x +7x = 37515x = 375x = 375/15 = 25so amit get ₹75sumit get ₹125nimit get ₹175

74625.

B LlV30. In a school assembly, a placard was shown as in the figure in which, ABC is a quadrant of acircle and a semi-circle is drawn with BC as diameter. Each section of the placard has depicted virtueslike () hard work (ii) honesty and (i) punctuality written on it. How much area on this has been givento honesty ? What area has been allotted to hard work?A 70 cm B

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74626.

Ex. 57. How many rotations will the hour-hand of acluck complete in 72 hours ?

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It complete 1 rotation in 12 hoursSo in 72 hours, it will complete=72/12=6 rotations

74627.

BO DOThe diagonals of a quadrilateral ABCD intersect each other at the point O such thatAO CO_ = . Show that ABCD is a trapezium.BO DOco

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74628.

Find the range of R1) Write the following relations as sets of orderedrs{(x, y) / y-3x, xe { 1, 2, 3),ye 13, 6, 9, 12])

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In (x,y), the value of y is three times the value of x

Relation, R ={(1,3),(2,6),(3,9)}

74629.

\int_{0}^{\frac{\pi}{4}} \frac{\sin ^{2} x}{1+\sin x \cos x}dx

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74630.

To. The exponent of 5 &amp;034(d) 53Cas

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your answer is D it is right answer

option d is right answer

option (d) 5^1/3 is the correct answer

option (d)5^1/3 is the right answer

option (d) 5^1/3 is the correct answer....................

The answer is option d

iska answer c option h

74631.

13Astring breaks if its tension exceeds 10 newtons. A stone of mass 250 gm tied to this stringoflength10cm is rotated in a horizontal circle. Find the maximum angular velocity of rotation.

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74632.

A staff meeting ended at 6.50p.m.If the meeting took 72 hours, atwhat time had it started?

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the meeting started at 11:20

6.50+7.50=14.00(2:00 am)

the meeting started at 11:20

74633.

xe cise 6.31. Deepankar purchased an old scooter for12000 and spent 2850 on its over-hauling. Then, he sold it tohis friend Ankit for13860. How much percent did he gain or lose?20 for F 56 and sold them at? 35 per dozen. Find his gain or loss percent.1 l rind his

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Cost Price = 12000+2850=14850selling price = 13860there will a loss of (14850-13860) rupees=990rupeesloss percentage = 900/14850*100= 6.6 percentageand it may be 900/12000*100= 7.5 percentage as well if you take cost price = (12000)

74634.

1. 1 x sin x cos x dx

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74635.

12.10)Simplify and express the answer with positive exponent:nower with positive esponent very

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(x^4y)^1/3*1/(xy^7)^1/3x^4/3y^1/3*x^-1/3y^-7/3hence using laws of indicesx^4/3-1/3*y^1/3-7/3x^3/3*y^-6/3X*y^-2=(X/y^2)^-4=(y^2/X)^4=y^8/x^4

answer will y^8/x^4

74636.

1. An integer can be:a) Only Positiveb) Only Negativec) Both positive and negatived) of the above

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(c) both positive or negative

c) Both positive and negative

74637.

Find the smallest number by which 5103 should be multiplied to get a perfect square.

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Factorise 5103.After factorising, the result comes-3×3×3×3×3×3×7Two pairs of all 3's are forming but only 7 is left.Therefore, required number=7 (Ans).

74638.

the dimension of the prayer hall is 20m, 15m, 8m,. so find the cost of painting it's wall at the rate of rs10/m2

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74639.

WritĂŠ down the decimal expansion of given rational numbers.131731258

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13/3125= 0.0046

17/8= 2.125

74640.

10. Aditya and Manav purchased one scooter each for the same price. Aditya sold it for18,400 andlost 8%. At what price should Manav sell it to have a profit of 6%?f340 ner ball He sold 20 balls at the rate of

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74641.

50-50

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answer for this question is 0

74642.

otation with positive

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(2/1)^5 = 2*2*2*2*2 = 32

74643.

cos square x upon oneplus sin x dx

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cos^2x /1+sinx= 1-sin^2x /1+sin^2x(1+sinx)(1-sinx)/(1+sinx)so it will be (1-sinx)now intregation will be-(-cosx+c)

74644.

un mumplicative inverse of the following: 1)-133. Simplify: D-x +x+-1--51033 )--

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the correct answer of the given question is

74645.

4p'g-3pą +5pq-8p+ 7q-10 from18-3p -11q +5pq -2pq+5p'q

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18 - 3p - 11q + 5pq - 2pq*q + 5p*pq - 4p*pq + 3pq - 5pq*q + 8p - 7q + 10 = 28 + 5p - 18q + 8pq - 7pq*q + pq*q

74646.

Example-1asubtract: 4pg - 3pg + 5- 30-11g + 5096 + 5p9 - 2pF + 5093a + 5pdf - 8p + 79 - 10 fromINCERTHorizontal Method-30- 119 + 5p9 – 200pa - 209 + 5p 9) – (4079-3pq + 5pg-8p + 79 - 10)Exercise ()antify which of the following expressions areolynomials. If the expression is not aplynomial then explain, why?3+2x– 522 – 4x4x + 7x2 – 8x + 93x +92-7 dx +842 – 10+1 +1te the degree of each of the followingnomials:-5a6(B) 42 - 7x+4By – Dp + 8 (d) 5p + 20 - 32 – 35 + 27 +8-1nge each of the polynomials in ascending

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b.2d.2questions not clear. so I can't solve more

74647.

1. The price of 10 balls is 50. Find the priceof15 balls.

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Price of 10 balls is Rs 50Price of 1 ball is Rs 50/10 = 5

Then,Price of 15 balls = 15*5 = Rs 75

74648.

2. 20, 18, 50, 244, ?(1) 1800 (2) 1600(3) 1900 (4) 1700

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20*1= 20-2= 18

74649.

out actually performing the long division, state whether the following rationalwill have a terminating decimal expansion or a non-terminating repeating decimalnumbersexpansion.644551715160013312529(ii)(iv)-23129(vi)(vi(t) TsVill() 34335(x) 50(x 210

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74650.

0 10.5 cm(i) 5.6 cm(i) 14 cmぎ 14 cm(0) 21 cm(ii) 3.5 m

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