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5. Find the separate equations of the lines rebv 4x2-v2 + 2x _ y = 0. Also, find the pinteoint ofsection of these lines. |
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) sum invested 1S 1250 (2) Divide) Rate of return is 12%Practice Set 4.3pletethe following table by writting suNo |FV|Share is at Mv1) 1001 par2) I. . . I premium 500mol purchased 50 shares of Face Valu |
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00111(UA101) A = 495 sq cm, L = 33 cm(d) A = 360nd the missing measurement in each of the folleLength = 18 cm(b) SidArea = 144 sq cmthe area of a square whose perimeter is |
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Answer» Let breadth be x cm.A/Q L×B=144 sq.cm. or, 18×x=144 or,x=144/18 x= 8 cm.Reqd.breadth=8 cm. area skure is18cm+144sumito breadth=8cm is the correct answer 8cm is the correct answer of the given question is Let the breadth be x cm.A/Q(l×b)=144 sq.cm18×b=144 b=144/18 b=8cm. |
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The sum and difference of two sides of a triangle is 52 cm and 8 cm. If the thirdside is 36 cm, find area of the triangle. |
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Q6. A boat travels upstream from B to Aand downstream from A to B in 3 h. If thespeed of the boat in still water is 9 km/hand the speed of the current is 3 km/h,what distance between A and B? |
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Answer» speed in downstream=9+3 =12kmphspeed in upstream=9-3=6kmph let the distance b/w a to be xso, time in going b to a (upstream)=x/6 hrtime in going a to b (downstream)=x/12 hr as , x/6 + x/12=3so, 2x+x/12=3so, 3x=12×3=36so, x=36/3=12 km speed in downstream=9+3 =12kmphspeed in upstream=9-3=6kmph let the distance b/w a to be xso, time in going b to a (upstream)=x/6 hrtime in going a to b (downstream)=x/12 hr as , x/6 + x/12=3so, 2x+x/12=3so, 3x=12×3=36so, x=36/3=12 km. speed in downstream=9+3=12kmph, spread upstream=9-3=6kmph. let the distance b/w to be x, time in going b to a(up)=x/6 hr.going a to b ( down stream)=x/12 hr. x/6 + x/12 = 3; so, 2x+x/12=3; 3x/12=3, 3x=12×3=36; x=36/3=12 km 12km is the correct answer of this question |
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Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane.Bus travels with average speed 60 km/hr and the average speed of aeroplane is700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishaltravelled by bus. |
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Answer» Let the distance traveled by bus = xTime taken traveling by bus = x/60Distance traveled by plane = (1900-x)Time taken traveling by plane = (1900-x)/700Total time = x/60 + (1900-x)/700 = 5x/60 – x/700 = 16/78/525x = 16/7x = 150Therefore, the distance traveled by bus = 150km |
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(6) Out of 1900 km, Vishal travelled some distance by bus and some by aeroploBus travels with average speed 60 km/hr and the average speed of aeroplan700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vistravelled by bus.26 |
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Answer» Let the distance traveled by bus = x Time taken traveling by bus = x/60Distance traveled by plane = (1900-x) Time taken traveling by plane = (1900-x)/700 Total time = x/60 + (1900-x)/700 = 5x/60 – x/700 = 16/7 8/525x = 16/7x = 150 Therefore, the distance traveled by bus = 150km |
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ivo straight paths are represemed by the lines 7x-5y = 3 and 14x-10y-5check whetherthe paths cress eauh othre. |
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paths cross each other or not.6. Find a quadratic polynomial, the sum ard product of whose zeroes are v2 andespecivelyAlso, find its zeroes |
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PracticeSet 12.1Each equation is followed by the values of the variable. Decide wheththese values are the solutions of that equation.(2) 9m :# 81,m-3,9, . |
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14From the top of a tower, the angle of depression of two consecutive kilometre stones,due east are found to be 30 and 45. Find the distance of the nearer stone from thefoot of the towerсе о |
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The HCF of two numbers a and b is 5 and their LCM is 200. Find theproduct ab.r1 2 |
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Answer» HCF *LCM = products if 2 numbersHere HCF= 5, LCM=200Now products of 2 number = 1000Therefore ab=1000Like if you find it useful |
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7. The diagonal of a square A is (a+b) Find the diagonal of a square B whose areais twice the area of A |
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the perimeter of rhombus is 52 cm. one of the diagonal is 24 cm. find the area of the rhombus and length of other diagonal . |
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From the top of a hill, the angles of depression oftwo consecutive kilometer stones due east arefound to be 45o and 30° respectively. Find the heightof the hill.) |
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Answer» Thanks for the answer |
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If the angles of elevation of a balloon fromtwo consecutive kilometre-stones along aroad are 30° and 60" respectively, then theheight of the balloon above the ground will be322(A) Ykm(B) km2km(D) 3/3 km |
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kilometre stones due east are found to be 45° and 30° respectively.ICBSE 201737. From the top of a hill, the angles of depression of two consecutivepoints atthe sameght of theFind the height of the hill. |
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On one day a rickshaw puller earned 80. Out of his earnings he spenttea andsnacks, *25 - on food andVI 1000 and 4 on repairs of the rickshaw. How much did he save on thatday?PIE |
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Mohan went to a temple 45 km 600 maway. He travelled 43 km 500 m by busand then took a rickshaw. What distancedid he travel by rickshaw? |
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Answer» distance travelled by ricksaw = 45 km 600 m - 43km 500m =2 km 100 m |
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8. Sunil's school is 13 km 285 m far from his home. He travels 9 km 470 m by bus andrest of the distance by rickshaw to reach his school. How much distance does hetravel by rickshaw to reach the school? |
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Answer» distance travel by rickshaw = total distance - distance travel by bus = 13 km 285 m - 9 km 470 m = 3 km 815 m From which book have you taken this question? Please tell us so that we can provide you faster answer |
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. In Fig 11.16 a rectangular field is of size25 m × 16 m. Two paths run parallel to the sides ofthe rectangle through the centre of the field. Thewidths of the longer and shorter paths are 2 m and3 m respectively. Find the area of the path. Alseo,find the area of the remaining portion of the field.25 m- |
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Answer» thnx for answer |
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SECTION-B5. Two straight paths are represented by equations-3r-2 and-2r + 6y-5. Check whethpaths cross each other or not.hose zeroes are V2 and, respec |
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Answer» No they will not cross each other As we know that when a1/a2=b1/b2 is not= to c1/c2 which is the situation of parallel lines. And same is here. a1/a2=b1/b2 is not= to c1/c2 1/-2=-3/6 is not =to 2/5 So they will not cross each other. |
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A square garden each side of which is 20 m istraversed centrally by two paths at right angles toeach other, and is thus divided into 4 beds. If thepaths are respectively 3 m and 2 m wide, find thearea of each bed |
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Answer» The perimeter of a square is 20then the side is 20/4so the side is 5mand the area is 5^2so the area is 25m^2 |
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5.In Fig. 6.17, POQ is a line. Ray OR is perpendicularto line PQ. OS is another ray lying between raysOP and OR. Prove thatZROS (Z QOS-ZPOS).26.It is given that <XYZ = 64° and XY is producedto point P. Draw a figure from the given P |
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8. The area of a rhombus is 240 cm2 and one of the diagonal is 16 cm. Find anotherdiagonal |
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In Fig. 6.17. POQ is a line. Ray OR is perpendicularto line PO. OS is another ray lying between raysOP and OR. Prove thatZ ROS(4 00S-4 POS)Itis given that<XYZ = 64° and XYìsproducedto point P. Draw a figure from the giveninformation. If ray YQ bisects Z ZYP. find XYQand reflex ZQYP |
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Mallikarjun has a barm with hens and anHe counts 185 head and 490 limbs bind thenumber of Hens and goats |
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Answer» the number of hen is 200and goat is 290 Let’s assume Number of chicken as X and goat as Y 2X + 4Y = 490nd X + Y = 185 Since chicken has 2 legs and goat has 4 legs. X = 185 - Y. sub value of X in equation 1. 2(185- Y) + 4Y = 490 370-2Y + 4Y = 490 370+ 2Y = 490 2Y = 120 Y = 60, Number of goat is 60. So chicken will 125 |
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and gossMallikanjun has a barm with hens andHe counts 185 head and 490 limbs bind tonumber of Hens and goats |
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Answer» book ka answer and question bhejo please nhi smjhe h Let’s assume Number of chicken as X and goat as Y 2X + 4Y = 490nd X + Y = 185 Since chicken has 2 legs and goat has 4 legs. X = 185 - Y. sub value of X in equation 1. 2(185- Y) + 4Y = 490 370-2Y + 4Y = 490 370+ 2Y = 490 2Y = 120 Y = 60, Number of goat is 60. So chicken will 125 |
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The angles by depression of two consecutive kilometre stones in the road an right and leftof an aeroplane are 60 and 45, respectively as observed from aeroplane. Find the heightof the aeroplane. |
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A bird sitting on a wire, fles, drdheond comes back to its perckarenExplain the total distonce it traveresduring its flight and its eventuddisplacement |
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Answer» A bird sitting on a wire, flies, circles around and comes back to its perch .That means the bird covers circular path and reaches its perch. Distance travelled : The total path traversed by an object .Here circumferenceof circle =2πR Displacement is the shortest path travelled between source and destination with a direction. As it reaches its original position, displacement is zero. |
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Let Abe a square matrix of order 3 x 3, then |KA| is equal to:(A) KA (B)3K/A C) k*|A D) k'|A |
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Answer» d is correct answer. The given determinant will be k^3|A|. D) is the correct answer |
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Ful, Wi-(i) Let A and B be square matrices of order 3 x 3. Is (AB)2 = A2B27 Give reason.(NCERT Exemplar) |
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Answer» Since, A and B are square matrices of the order 3 × 3.∴ (AB)2= AB.AB= A(BA)B= A(AB)B [If AB = BA]= AABB= A2B2So, (AB)2= A2B2is true only if AB = BA. |
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x1+115For what value of x, the matrixis singular? |
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5 - xx+12. For what value of the matrixis singular? |
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LE3ict the grouped frequency distribution from the following data aind its Arithmetic Mean:MarksNo. of studentsLess than 1017520360# 3068079050900.40601000 |
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2 A square of diagonal 8 cm is inscribed in a circle. Find the area of the region lying outsidethe circle and inside the square |
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Answer» Given,The diagonal of square=8 cm We have to find the area of region lying outside the circle and inside the square.We know that diagonal of square =side*√2 Thus side*√2=8 cm Therefore side = 8/ root 2 = 5.65 cm The radius of circle = 5.65/2 = 2.825 cm Thus required area = side² -radius² = 31.9225-25.0718 = 6.85 cm what is the meaning of region lying outside the circle and inside the square |
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6. Write the coordinates of the point lying on x-axis and with x-coordinate 4 |
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Answer» the coordinate is (4,0) as it lying in x axis y coordinate is 0 y coordinate point are4,0 where y=0 |
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15. If the angle between two tangents drawn from an external point P to acircle of radius a and centre O, is 600 then find the length of OP.[CBSE 2017] |
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Answer» make a çircle then make a 60° angle from center |
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9. Two water taps together can fill a tank in 9 hours. Thetap of larger diamçeter takes iohours less than the smaller one to fill the tank separately. Find the time in which each tapcan separately fill the tank. |
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2.ver line and passHow many lines can be drawn which are perpendicular to a given line anthrough a given point lying on it ? |
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Answer» 1 line can be drown. |
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(11) A passenger train takes 2 hours more than anexpress train to travel a distance of 240 km. Thespeed of the express train is more than that ofpassenger train by 20 km/h. Find the speed ofboth the trains. |
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Two water taps together can fill a tank inhours less than the smaller one to fill the tank separately. Find the time in which each9)hours. The tap oflarger diameter takescan separately fill the tank. |
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फ्। 3 23 dan 4C A 3$९९ ने७ |
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Answer» (tan20/cosec70)^2 + (cot20/sec70)^2 + 2tan15tan45tan75 ={tan(90-20)/cosec70}^2 + {cot90-20)/sec70}^2 + 2(tan90-15)tan45 tan 75 =(cot70/cosec70)^2 + (tan70/sec70) ^2+ 2(cot75 tan 45 tan75 ) =(cos 70/sin70/1/sin70)^2 +(sin70/cos70/1/cos70) ^2 + 2(1×1) =(cos70+sin70)^2 +2 =1+2 =3 Hit like if you find it useful! |
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. Find the area of the triangle Whose ocitil. A matrix A of order 3 x 3 is such that |41 4. Find the value of 12A |
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Answer» We know |kA| = kⁿ|A| , where n is order of A. So, |2A| = 2³ |A| = 8 × 4 = 32 Hit like and BeScholr |
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1 x -2If A 2 2 4 and A2+ 213 3A find x; here 13 is the0 0 2unit matrix of order 3. |
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For the value of x will the matrix\left[ \begin{array}{lll}{3} & {1} & {2} \\ {x} & {2} & {4} \\ {2} & {3} & {6}\end{array}\right|become singular[236 |
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(a) 50(c) 665(b) 60(d) 562(a) 2/3(b) 3/5(c) 4/5(d) 7/9 |
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Answer» भिन्न = x x/(6/7) = 6x/7 + 13/70 7x/6 - 6x/7 = 13/70 (49x-36x)/(6×7) = 13/70 13x/6 = 13/10 x = 6/10 = 3/5 good |
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Find the compound ratios of the following.(a) 3:4 and 2:3 b) 4:5 and 4:5 (c)5:7 and 2:9examples ofcompound ratio from daily life. |
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8. What is the range of the functiobelow?(b) 1-1, 1, 2, 3, 5(c) (3, 4, 5, 7, 9)(d) 12, 3, 4, 5, 7, 9 |
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Answer» The domain is the set of the first number in every pair (those are the x-coordinates): {-1, 1, 2, 3, 5}. The range is the set of the second number of all the pairs (those are the y-coordinates): {3, 4, 5, 7, 9}. This table describes y as a function of x. Therefore, for this problem: The domain is{-1,1,2,3,5} The range is{3,4,5,7,9} option c is correct hit like if you find it useful |
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R . 1.35757 790 " (n+Dhn+3) 32n+3) |
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