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80051.

(a) Given that (a, 2a) lies on the line 2-3x-6, find the value of a.(3)

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If point (a, 2a) lies on y/2 = 3x - 6Then,For x = a, y = 2a equation will be equal to 02a/2 - 3a + 6 = 0-2a = - 6a = 6/2 = 3

Value of a = 3

80052.

44.If the circum centre of the triangle lies at (0,0)and centroid is middle point of (a +1,a +1)and (2a,-2a) then the orthocentre lies on1) (a-I),-(a+1)2y=02) (a-1)2x+(a+1)2y=03) (a-1) x +(a+1) y+56-04) (a-1)2x+(a + 1),-56 = 0

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80053.

9. Find the perimeter of the following figures.

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80054.

- 48 cmExample 2 : Find the area of a triangle whose sides are 18 cm, 10 cm14 cm.la gra 18 cm. 10 cm and 14 cm

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semiperimeter will be 18+10+14/2=21cmhence s=21

80055.

Find 'x' in the following figures?230

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110° ,50°okay right answer

67° is the correct answer of the given question.

67 is the correct answer

80056.

Find the area of the following figures.

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Radius will be 1.4/2= 0.7total area= area of circle + area of rectanglePlease like the solution 👍 ✔️

80057.

Write name of the following figures. Idesegments.(b

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It is a ray because it's finite at one end and infinite at other

80058.

5. Which of the following figures are symmetric?

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leaving 3,5,6 all are symmetric figure

5 th one and 6 th one is not symmetric rest are symmetric

80059.

2. How many points are marked in the followingfigures ? Name them.H IJ KB C D E

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80060.

What geometrical 3.D shapes isa "GLASS (tumbler)"

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If you like the solution, Please give it a 👍

80061.

Find the area of an equilateral triangle whose one side is 6 cm long

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80062.

3. Find the length of each side of an equilateral triangle whose area is 973cm.

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80063.

A wall 4.84 m long and 3.1 m high is covered with rectangular tiles of size 22cm by 10 cm. Find the total cost of the tiles at the rate of Rs 1.50 per tile.

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80064.

unitie12edges?ets Stall was placing an order for making cardboard boxes for packingweets. Two sizes of boxes were required. The bigger of d'imensions20 cm x 5 cm and the smaller of dimensions 15 cm x 12 cm x 5 em. For all the5% of the total surface area is required extra. If the cost of the cardboard is7.25 cm × cmoverlaps, 500Rs 4 for 1000 cm, find the cost of cardboard required for supplying 250 bonves of cachkind

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80065.

4. A room is 9.68 m long and 6.2 m wide. Its floor is to be covered with rectangular files of size 22cm by 10 cm. Find the total cost of the tiles at the ratc of Rs 2.50 per tile

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Thanks

80066.

The base of an equilateral triangle with side 2a lies along the y-axis such that themid-point of the base is at the origin. Find vertices of the triangle.,, ) when . (i) PO is narallel to the. o

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80067.

The base of an isosceles triangle is12 cm and its perimeter is 32 cm. Whatis the area of the triangle?[A] 20 cm[B] 44 cm[C] 48 cm[D] 24V2 cm

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option c is the right answer

80068.

2.455妍而225 IFind the H.C.F. of two numbers 135 and 225 using Euclid division algorithm.

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(i) 135 and 225Since 225 > 135, we apply the division lemma to 225 and 135 to obtain225 = 135 × 1 + 90Since remainder 90 ≠ 0, we apply the division lemma to 135 and 90 to obtain135 = 90 × 1 + 45We consider the new divisor 90 and new remainder 45, and apply the division lemma to obtain90 = 2 × 45 + 0Since the remainder is zero, the process stops.Since the divisor at this stage is 45,Therefore, the HCF of 135 and 225 is 45.

80069.

A bag contains 5 black, 3 white and 2 red balls. In how many ways can 3 black balls be drawn?

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80070.

4.The diagonal of a quadrilateral shaped field is 24 mand the perpendiculars dropped on it from theremaining opposite vertices are 8 m and 13 m. Findthe area of the field.

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80071.

The diagonal of a quadrilateral shaped field is 24 mand the perpendiculars dropped on it from theremaining opposite vertices are 8 m and 13 m. Find4.13-4the area of the field.

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80072.

Find the perimeter of each of the following figures:2 cm

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80073.

E xercise 13.41. Find the area of the border (shaded portion) from the following figures2 ma)10 m20 m25 m

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a) Area of shaded portion= (24x14 - 20x10)= (336 - 200)= 136 m^2

b) breadth dimension is missing

80074.

What is the area of an equilateral triangle whose side is 2 cm?

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80075.

02. What is the area of an equilateral triangle whose side is 'p'.

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80076.

9 A cylindrical bucket, 14 cm in radius, is filled 1with water to some height, if rctangular solid ofsize 28 cm x 11 cm x 10 cm is immersed in thewater, find the height by which water rises inthe bucket.

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Given radius of cylinder = 14cm

Volume of rectangular solid = (28 * 11 * 10) cm3

Rise in height of the water in the cylindrical bucket = volume of the rectangular solid / area of the cylinder

= (28*11*10)/ (22*14*14 )/7

= 21560 / 4312

= 5cm

Therefore rise in water column = 5cm

80077.

In the given figure, a rectangular tin foil of size 22 cby 16 cm is wrapped around to form a cylinder ofheight 16 cm. Find the volume of the cylinder.422 cm

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80078.

6. The parallel sides of a trapezium are 25 cm and 11 cm, while its non-parallel sides are 15 cm and 13 cm. Findthe area of the trapezium.hose narallel sides are 38 7 cm and 22 3 cm and the dista

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80079.

If a rectangular piece of paper of size 44 cm x 20 cm is rolled to form a cylinder of height 20 cm, thenthe radius of the base is(a) 7 cm(b) 14 cm(c) 22 cm(d) 11 cm

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80080.

Shanti Sweets Stall was placing an order for making cardboard boxes for packingtheir sweets. Two sizes of boxes were required. The bigger of dimensions25 cm x 20 cm x 5 cm and the smaller of dimensions 15 cm x 12 cm x 5 cm. For all theoverlaps,5% of the total surface area is required extra. If the cost of the cardboard isR4 for 1000 cm2, find the cost of cardboard required for supplying 250 boxes of eachkind.7.

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80081.

8.A bag contains 5 black and 6 red balls. Determine the number of ways2 black and 3 red balls can be selected.

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80082.

13. A bag contains 6 white balls, 4 red balls and 5 blue balls. A ball is drawn from the bag without looking into theFind the probability of drawing red balls, Is it more or less than getting a blue balls?

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80083.

4. The diagonal of a quadrilateral shaped field is 24 mand the perpendiculars dropped on it from theremaining opposite vertices are 8 m and 13 m. Findthe area of the field.

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80084.

Area of Plane Figures 2225Find the area of shaded region of the figure given below.le 15:7 cm7 cm3.5 cm7 cm

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80085.

4.34. Il10 sq.mExercise 9,3Find the area of following composite figures.1. 4 cm4 cm7 cm7 cm1 cm12 cm4 cm2 cm24 cmcm1 cm1 cm

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4 x 1 =4 , 2 x2 =4 and 4, 4+4+

pls give me right answer

(1)= 226(2)= 36 is your correct answer

1 . 176 cm²2 . 12 cm²

a) = 2*(12*4)+5*16 = 96+80 =176cm^2b) =4+8 = 12cm^2

80086.

uilateral triangle whose side is 20 cm, then fin

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Area if equilateral triangle = √3/4 side²

= √3/ 4 × (20)²

= √3 × 5 × 20

= 80√3 cm²

80087.

13. A box with lid is made out of 2 cm thick wood. Itsinner dimensions are 21 cm, 14 cm and 11 cm. Itsexternal length, breadth and height are 25 cm, 18cm, and 15 cm respectively. Find the capacity ofthe box and volume of the wood used.Board Term II, 2012, Set-24]

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80088.

Fromi eatin Lain Uto paint the hall?12. A rectangular paper of size 22 cm x 14 cmis roled to form a cylinder of height 14cm, find the volume of the cylinder. Take T22)inner dimensions 90 cm by 80 cm by 70 cm.

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80089.

closed cuboid are in the ratio5:4:3. If the total surface area is 0.94 m2, find the13. The dimensions ofdimensions of the cuboid.14. 250 boxes of dimensions 30 cm x 20 cm x 20 cm

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80090.

29.1 cm, b = 12.16cmリーFind the area of the square whose each side is as followg(a)8 dm

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a) side of sqaure 8dmarea of square is (side)² = 8² = 64

80091.

Find the volume of a cuboid whose dimensions are 15 cm x 11 cm x 7 cm.

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volume of cuboid is L×B×H15×11×7 = 1,155 cm³

80092.

4. Which of thE TUTOU(i) an equilateral triangle of side 1 cm(ii) a square of side 1 cm(iv) a regular pentagon of side l CrIf the edge of a cube is 1 cm then which of the following is its total surface area?2(i) 1 cm(ii) 4 cm(iv) none of these(iii) 6 cm2Mhich of the following is equal to 1 kilolitre?ii) 100 dm

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80093.

A bag contains 3 red and 5 black balls and a second bag contains 6 redand 4 black balls. A b s drawn from each bag. Find the probabilitythat both are red.

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80094.

A thombus shaped field has green grass for IS cows to graze If each side of thethombus is 30 m and its longer diagonal is 48 m, how much area of grass field will eachcow be getting?

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80095.

1200.기 truct a parallelogram whose one side is 4.4 cm and the diagonals are 5.6 cm and 7 cm.

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80096.

Example 1 : An electron is placed in an electric field of intensity 8 x 10^2 N/C. Calculate theforce acting on the electron

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80097.

1.Find the area of each of the following parallelograms::4 cm:3 cmS cm7 cm(b

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80098.

1 cm3 cm2 cm7 cm3 cm1 cm

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80099.

Find the area of the parallelogram whose one side is 26 em and the corresponding10 hertares and 1500 m respectively.altitude is 8.5 cm.

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80100.

237EXERCISE 20Cd the area of aof a parallelogram measures I ns 60 cm and its heldhtelogram it is being base-with base 32 exn and height 16.5 em.em and its height is 75 em. Find its areagiven that base- 14 dm and height - 6.5 dm. Find its area ini the height of a parallelogram whose area tsside of ah side from its opposite sideparallelogram ABCD, AB = 18 cm. BC-12 cm. ALL DC and AM 1 BC54 cm2 and the base is 15 emm is 18 cmn long and its area is 153 cm?" Find thedistance of the6.4 cm, find the length of AM.jacent sides of a parallelogram are 15 cm and 8 cm. If the distance between tsides is 4 cm, find the distance between the shorter sides.ight of a parallelogram is one-third of its base. If the area of the parallelogran12, find its base and height.e of a parallelogram ts twice its height. If the area of the parallelogram is 512 c: base and the heighte area of a rhombus in whichh side 12 cm and height 7.5 cm,h side - 2 dm and height 12.6 cmarea of a rhombus, the lengths of whose diagonals areand 28 cm.(11) 8 dm 5 cm and 5 dm 6 cmarea of a rhombus each side of which measures 20 cm and one of whose diagof a rhombus is 148.8 cm2. If one of its diagonals is 19.2 cm, find the lengthgonalof a rhombus is 119 cm2 and its perimeter is 56 cm. Find its heightf a rhombus is 441 cm2 and its height is 17.5 cm. Find the length of each24.8 cm and 16.5 cm respectively. If one of the diagonals of the rhoi thè length of the other diagonal.í a rhombus is equal to the area of a triangle whose base and the corres

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which question ?

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