Here, x√x-2 = x ⨯ x-2 ⨯ 1/2 = x ⨯ x-1 = x ⨯ 1/x = .....

Here, Divisor ,D(x) = x + 2 Quotient = Q(x) = x2 + 2x - 1 Remainder = R = 5 Polynomial = P(x) = ? We know, P(x) = D(x) . Q(x) + R        = ( x + 2)( x2 + 2x -1) + 5          = .....

The heart muscle contracts in two stages to squeeze blood out of the heart. This is known as systole.

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Some of the contributions by Romans to the modern world are: Politics Trade and agriculture Development of modern calendar Child education to both sexes. Development of military. Development of Science and .....

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The measures to control corruption are as follows: - Law and order should be implemented effectively. - Strict punishment should be given to the corruptors. - Strong political commitment should be made among the political parties. - The public .....

Triangle CDP is a right-angled triangle as ∡CDP = 90° (being an angle of a square). PC is the hypotenuse of triangle CDP. In ∆CDP, using Pythagoras theorem, we can write PC2 = CD2 + PD2  Substituting respective .....

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- Foreign trade is one of the ways to develop international brotherhood. - It helps to strengthen the national economy through the expansion in   government .....

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Here, CP = 1000000 x 8.98/ 100 = Rs. 89800 SP = Rs.100000 Profit = SP - CP =  Rs.100000 -  Rs. 89800 = Rs.10200. Hence,  Profit =  .....

Here, 100 - 18 - 25 + 20 = 100 + 20 - 18 - 25 = 120 - 43 = .....

To prove it lates start from LHS. At frist substitute sin(60) = √3 /2 ,we grt =16 x √3/2 [ sin(20) sin(40) sin(80) ]  = (8√3) sin(20) [ sin(40) sin(80) ]  use the formula sin A sin B = (1/2) [ cos(A - B) - cos(A + B) .....

Here, Let CP of an article be x. From given condition, MP of an article = CP + 20% of CP                             = x + 20/100 ⨯ x         .....

Using the coordinates of the centre of circle,  find the distance OA, OB, OC and OD. You will get equal distances. Thus, this will prove that the given coordinates are .....

Here, LHS = 4 cosA.cos(60 - A).cos(60 + A)  = 2 cos A{2 cos (60 + A)  cos (60 - A)}  = 2 cos A{cos 120 + cos 2A}  [ Applying the relation : 2 cos X . cos Y = cos (X + Y) + cos (X - Y) ]  = 2cos A {- (1/2) + cos .....

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RHS = sin2(π/4 - A) =  1/2[1 - cos2(π/4 - A)]               [  sin2 A = 1/2( 1 - cos2A) ] =  1/2[1 - cos(π/2 - 2A)]  .....

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Given, We have, Acceleration (a) = 3 m/s2 Time (t) = 12 sec Initial Velocity (u)= 0 m/s Final velocity (v) = ? By using formula, v = u + at  or, v = 0 +3 ⨯ 12  v = 36 m/s The final velocity is 36 .....

A thermometer is a device that measures temperature or a temperature gradient. A thermometer has two important elements: (1) a temperature sensor (e.g. the bulb of a mercury-in-glass thermometer) in which .....

Males and females have different vocal fold sizes. Adult male voices are usually lower-pitched due to longer and thicker folds. The male vocal folds are between 1.75 cm and 2.5 cm (approx 0.75" to 1.0") in length, while female vocal .....

८. आराधनाद्वारा दिदी सधैँ सताइनुहुन्थ्यो । ९. हामीले तिमीलाई असाध्यै हेपेका थियौँ । १०. .....