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| 71751. |
0A, B, C, D are concyclic points. Find BAC and DCB |
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Answer» In ∆BDC,∠DBC + ∠BCD + ∠BDC = 180°∠BDC = 180° - 100 = 80° As ∆ BDC and ∆ ABC are in same segment therefore.∠BDC = ∠BAC∠BAC = 80° |
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| 71752. |
If point (-2,-3) lies ex -k, then find the value of kk 3.4 5c, k2d. k5.2 |
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| 71753. |
Show that the points (3,-2), (1,0), (-1,-2)(1,-4) are concyclic.5: |
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| 71754. |
the value of c, if the points (2, 0) (0, 1) (4, 5) (0, c) are concyclic.Oo |
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Answer» First find the equation of circle passes through point(2,0) ,(0,1) and (4,5)equation of the circlex² +y² +2gx +2fy +c =0so put the points4+ 4g +c =0 .............11 +2f +c =0 ..............239 + 8g + 10f +c =0 ............3solve these equationg =-25/12f =-8/3c =13/3so equation of circlex² + y² -25x/6 -16y/3 +13/3 =0now point(0,c) satisfy this equationc2 -16c/3 + 13/3 =03c2 -16c +13 =0c=1 ,13/3 Like my answer if you find it useful! |
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| 71755. |
By how much is R 36.44 less than 50.20? |
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| 71756. |
28. How much 11 times 6 less than 7 times 8? |
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Answer» 11×6=667×8=5666-56=10so 10 is less than 11×6=667×8=5666-56=10so 10 is the right answer 11×6=667×8=5666-56=10so 10 is less than |
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| 71757. |
15. A straight highway leads to the foot of a tower. A man standing at the top of the towerobserves a car at an angle of depression of 30°, which is approaching the foot of theoundtower with a uniform speed. Six seconds later, the angle of depression of the car is fto be 60°. Find the time taken by the car to reach the foot of the tower from this point. |
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| 71758. |
inaquiz, positive marks are given for correct answers and negative marks are givenfor incoest answers. If Jack's scores in five successive rounds were 25,-5,-1015 and 10, what was his total at the end'?2,10, |
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| 71759. |
toAny One)() In the figure, D, E, F are midpointsof sides AB, BC and AC respective-ly. P is the foot of the perpendicularfrom A to side BC. Show that pointsD, F, E and P are concyclicP E |
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Answer» Given : In Δ ABC , D,E,F are the mid _ point of the sides BC , CA, AND AB respectively , AP ⊥ BC TO prove : D,F,E and P are con cyclic. Proof : In right angled triangle APB, D is the mid point of AB DB =DP ∠ 2 = ∠1 ....(1) ( angle opposite to the equal sides are equal) Since D and F are the mid point of AB and AC , then DF║ BC DF ║ BE Since EF ║DB , then quadrilateral BEFD is a parallelogram ∠1 = ∠3....(2) From equation 1 & 2 ∠2 =∠3 But ∠2 + ∠4 = 180 ° ( linear pair Axiom ) ∴ ∠3 + ∠4 = 180° (∵ ∠2 =∠3 ) hence , Quadrilateral EFDP is cyclic quadrilateral So, points D,E,F and P are con - cyclic |
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| 71760. |
4 times a certain number is as much less than 60 as 7 times the number is greaterthan 61. Find the number. |
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Answer» 60 - 4x = 7x -61 121 = 11x x = 11 {Answer} |
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| 71761. |
Ifn(A) = 12 and n(A " B) = 5, then find n(A - B) =4 B)7 )iz |
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| 71762. |
12. If 5 is subtracted from 3 times a certain number n. the result is 16. Find n. |
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Answer» 3n-5=16n=21/3n=7its the right answer hope this helps you 😊😊 3n-5=163n=16+5n=21/3n=7this is the right answer |
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| 71763. |
Example 14: An open metal bucket is in theshape of ahollow cylindrical base made of the same me-talic sheel (see Fig. 13.23). The diameters ofthe two circular ends of the bucket are 45 cmand 25 cm, the total vertical height of the bucketis 40 crn and that of the cylindrical basc is6 cm. Find the arca of the metallic shect usecdto make the bucket, where we do not take intoaccount the handle of the bucket. Also, finedthe volume of water the hucket can hold.frustum of a cone, mounted on aFig. 13.2302Take rt 4 |
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| 71764. |
whose height is l4 Find the height of a trapezium, the sum of the lengths of whose bases (parallelis 60 emand whose area is 600 cm2 |
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| 71765. |
Un pucun we given cuboid?Find the height of the cylinder whose volume is 1.54 m and diameter of the base is140 cm?11. ..:1. |
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| 71766. |
zeroes are sa and 3pA(-2 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram AlBb. Hence find the lengths of its sidesABCD, find the values of a and315QR |
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| 71767. |
iRl DI kb E2b e (€1 ), 309 पा अव्यिड ¥p——————————————————————————— |
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Answer» The range forcot^−1xis from−π/2toπ/2 Ascot(−π/6) = −√3 cot^−1(−√3) = −π/6 |
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| 71768. |
Write down the causative organism of the following div Tuberculosis Malariab. Measlese. ElephantiasisRf. Cholera aeimculde Malar folowing de. Athletic footbinbeeatun |
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Answer» a)Tuberculosis-Mycobacterium tuberculosis b)Measles-morbillivirusc) Elephantiasis- filarial wormd)Malaria-Plasmodiume)Athletic foot- Trichophyton mentagrophytesf) Cholera-Vibrio cholerae |
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| 71769. |
(o W e) Vhisfie DI R 1% PR} blblblb £ Llie phie)$3le & Ll iy B3 14 e (Bg BBOLe |y e te 102 b 2% ol दो0L e 1 Dig ALDD h th b2 & Ll b2 224 7L b it &R ;he B bk POV6] = A 4 |
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| 71770. |
\mathrm{If}^{2 \mathrm{n}} \mathrm{P}_{3}=100 \times^{n} \mathrm{P}_{2}, \text { find } n |
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| 71771. |
3. Find n if(i) "P= 3.P, |
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| 71772. |
Example: 24Find the difference in C.I and S.I for(i) P=25000, r = 4% p.a, n = 2 years.(ii) P = 28000, r = 5% p.a, n = 3 years. |
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Answer» sI=p×R×T/1005000×4×2/10040000/100=400 SI=principal×rate×time/100:: 8000×5×3/100 the correct answer is 400 5000*4*2/100=4008000*5*3/100=1200 |
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| 71773. |
29. Find the CSA, TSA & volume of a cylinder, the diameter of whose basc is 7cm & height being60cm. Also, find the capacity of the cylinder in liters. |
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| 71774. |
.Find the height of the cylinder whose volume is 1.54 m and diameter of the basc is140 cm ? |
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| 71775. |
B o DI e T YT |
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Answer» Ans :- √25 = √(5^2) = 5 |
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| 71776. |
The number of different straight lines that areformed with A(2, 3), B(3, 4), C(5, 6), D(3, 7)are |
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Answer» AB=(2,3)(3,4); V(3-2)^2+(4-3)^3=V(-1)^2+(1)^2=V2; BC=(3, 4)(5,6); V(5-3)^2+(6-4)^2=V(2)^2+(2)^2=V4+4=V8=4V2_________(2); CD=(5, 6),(3, 7) . V(3-5)^2+(7-6)^2=V(2)^2+(1)^2=V5+1= V6_____________________(3); DA= (3, 7) (2, 3); V(2-3)^2+(3-7)^2=V('-1)^2+(-4)^2=V1+16=V17____(4) , AB+ BC+ CD+ DA=V2+ 4V2+ V6+ V17 |
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| 71777. |
Q.12 Find five rational numbers betweenand 12 |
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| 71778. |
name the place value of five in each of the following. a)56481b)150732 c)5416789 d)50237910 |
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Answer» 5000 50000 5000000 50000000 |
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| 71779. |
(text*((a*(d*n))*(3*(p*q) - 2*q^2)))*f(2*(p*q) %2B 3*q^2) |
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Answer» (2pq + 3q^2) * (3pq - 2q^2) = (6p^2q^2 - 4pq^3 + 9pq^3 - 6q^4 = 6p^2q^2 + 5pq^3 - 6q^4 |
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| 71780. |
EAS RELATED TO CIRCI. Find the area of the shaded region in Fig. 12.20, if radi of the two concentric circles with235Centre O are 7 cm and 14 cm respectively and < АОСАО40 |
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| 71781. |
FiNTTN Dehtora cuboixd whose basc area is 180 cul and volumeis 900 cm |
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| 71782. |
book is listed aslh aJais court ofmust be offe20% (that additional discount |
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Answer» Good |
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| 71783. |
There are 10 points in a plane of which 4 are collinear. No three of theremaining 6 points are collinear. How many different straight lines can be drawnby joining them ? |
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| 71784. |
ch Saves Rs.120 dusing the Pnst mon lh,Rs son the nexmonth ond Rs. 1 the hiad mon hif she ines he Soving in hs pot len,Co lula le -the omount soved by Puck on g months |
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| 71785. |
2. Name the polynomial having only two terms.3 How many straight lines can be drawn through |
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Answer» atwo-term polynomialis called a binomial |
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| 71786. |
Fue or False1. The place value of a digit is independent of whether the number is written in Indian systemor International system of numeration. |
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Answer» False is the right answer |
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| 71787. |
distance between from the sun and eight planets Indian system |
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Answer» 149.6 million km........... is the |
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| 71788. |
6. a) Distinguish between Indian federal system and Americanfederal system. |
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Answer» Differences between the federalisms of US and India: The differences that exist between the federalisms of US and India are unique. These differences have been wantonly created by the architects of the Indian constitution. The US federalism is very strong and more rigid as envisaged in their constitution by its leaders. It is more federal than unitary in character. Whereas, India is more unitary than federal and we can even say that it is a quasi-federal state. 1) The Constitution of US is very rigid than the Indian Constitution: i)The constitution of US is very brief and rigid running into only a few pages, whereas the constitution of India is very voluminous containing as many as XXII parts, 395 articles and ten schedules. Since the US constitution is very rigid, the provisions meant for amending the constitution are also very rigid and more formal. The last amendment carried out in the US constitution was in the year 1992.Between the period 1989 and 1992, the US constitution has been amended only 27 times, in which the 21 st amendment was to reverse the 18 th amendment Whereas, the Indian constitution which came into force in the year 1950, has so far been amended 94 times.Therefore, it is easy to amend the Indian constitution, since it involves four different types of procedures which are comparatively easy than the amending procedure of the US constitution. For example, recently, the salaries and allowances of the Indian MPs have been hiked through a voice vote of the members of the Indian Parliament, whereas in the US, the 27 th amendment originally proposed on 25th September, 1789, was ratified on May 7 th, 1992, regulating the provision for varying the compensation of the members of the House of Senate and Representatives. ii) In the US, though there is a Federal Constitution, all the states affiliated with the Federal Government,owing their allegiance to the Federal Constitution, have their own constitutions to regulate their own governance. In India, all the states affiliated with the Indian Union owe their allegiance only to the Indian constitution and do not have their own constitution; however, each state is empowered to enact its own laws included in the state as well as in the concurrent list of the constitution. 2) While US has the Presidential form of Government, India has the Parliamentary form of Government: In the US, the President is the head of the state and so his government is invariably mentioned as the Presidential form of government or democracy; In India, the President is only a nominal head or titular sovereign power;( dejure sovereign),whereas the Prime Minister and his cabinet is the defacto or popular sovereign in whom the real power exists.In the US, the President is popularly elected ,besides chosen through an electoral college.However, nominating a candidate for contesting the Presidential election by a political party in the US is a cumbersome process. This process is comparatively simpler than the Indian system of forming the cabinet and electing the Prime Minister from a party which enjoys a majority of elected members of the Lok Sabha.While the US follows the bi-party system, India has a multi-party system and a complicated process of election.While the US President holds power for a period of 4 years,while the Indian Prime Minister holds power for five years as long as his political party enjoys majority in the Lok Sabha. However, the US President irrespective of his affiliation with a political party, Republican or Democrat and irrespective of his party’s success or failure in the elections for the House of Representatives or the House of Senate, holds power for his full tenure. A person in the US can hold the post of President only for two terms, whereas, in India there is no such restriction to hold the post of a Prime Minister or President. For example, Nehru was the Prime Minister of India between 1947 and 1964 for a period of 17 years. The Indian cabinet and the Prime Minister are collectively and directly responsible and answerable to the parliament and indirectly to the people, whereas, the US President has constitutional obligations and duties and of course answerable to the people. For the dereliction of duty and blunder committed by a cabinet minister in India, the Prime Minister and his entire cabinet colleagues are liable,responsible and answerable, because they have collective responsibilities. 3) Differences between the legislatures of US and India: In India, the lower house or the Lok Sabha is more powerful and its members are directly elected by the people and the members of the Upper house or Rajya Sabha are indirectly elected every two years. The Lok Sabha members represent their constituencies on the basis of their population strength; In the US, the House of Representatives are elected on the basis of the population strength of a state, but irrespective of the size of the state or its population, each state in the US has only two senate members, totaling 100 members in all in the US. While the Lok Sabha or the lower house is more powerful in India, the House of Senate or the upper house is more powerful in the US. While a Senate member in the US is directly elected, a Rajya Sabha member in India is indirectly elected by a system of proportional and transferable voting system. 4) Differences in the judicial system between US and India:  |
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| 71789. |
Express 235790 in Indian International System. |
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Answer» Indian - 2,35,790 International - 235,790 Indian - 2,35,750. International - 235,790 Indian -2,35,790whereas International - 235,790 |
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| 71790. |
---B. Short Type Questions : Marks :2/3/411. In figure AB and AC are opposite rays.(i) If x0 = 32º find Zy(11) If yº = 28° find Zx(3ye+ 11)3rFEB-AD-- |
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Answer» I) y= 73÷3 because 3y+11+3x=180 and given x=32 ok wait for some days l) y=73÷3 because 3y+11+3x=180 and given x=32 |
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| 71791. |
Short Answer Type Questions (SA-I)11. Show that in an isosceles triangle, the angles opposite to the equal sides are equal. |
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| 71792. |
3 Draw the electron dot structure of ethane. |
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| 71793. |
37. Ruchi Saves Rs. 120 during the first month, Rs. 150 in the next month and Rs. 180 inthe thrid month. If she continues her saving in this pattern, Calculate the amount saveaby Ruchi in 18 months. |
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| 71794. |
g. If two straight lines are perpendicular to the same line, prove that they are parallel toeach other. |
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| 71795. |
Rajan purchased a purse at 25% discount on its marked price but sold it at themarked price. Find the gain per cent of Rajan on this transaction. |
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| 71796. |
I am three times as old as my son. Five years later, I shall be two and a half timesas old as my son. How old am I and how old is my son ? |
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Answer» Let my present age be 3x years.=>My son's age=x years Five years later:-My age=(3x+5) yearsSon's age=(x+5) years ∴3x+5=2.5(x+5)=>3x+5=2.5x+12.5=>0.5x=7.5=>x=15 ∴My present age=3x=45 yearsSon's present age=x=15 years |
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| 71797. |
21285. I am three times as old as my son. Five yearslater, I shall be two and a half times as oldas my son. Then, age of father and sonwill be |
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| 71798. |
GGSVM SR.SEC SCHOOL, RATWARA SAHIBHOLIDAYS' HOMEWORK (2019-20)CLASS-VI MATHEMATICSASSIGNMENT-1Write the number name of each in the international systema) 90703006 b) 56943821Find the difference of Place values of the two As in 45810461C) 6057894 d) 93574Write the numbers names of each in the Indian system*) 615 30807 b) 61805008The sale receipt of a company during a year) 8420019creased by 36709570. What total |
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Answer» (3)(a)six core fifteen lakh thirty thousand eight hundred seven (b)six core eighteen lakh five thousand eight(c)thirty four lakh twenty thousand nineteen pic complete NH h , fir se click karay |
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| 71799. |
4. A coolie deposits Rs 150 per month in his post office Savings Bank account. If this is15% of his monthly income, find his monthly income. |
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| 71800. |
EXAMPLE 47 If the sum of distances of a point from twoperpendicular lines is unity, then its locus isb) an ellipse |
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Answer» Let the perpendiculars lines be the x – axis and y – axis. The sum of the distances from the the point P (x, y) is 1. ie. |x| + |y| = 1 – this is the locus of the point P which would be the rhombus whose sides are x + y = 1; –x + y = 1; x – y = 1; –x – y = 1 If the perpendicular lines are other than co-ordinate axes, then we can get the same solution by using the transformation of the axes concept |
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