Read ideas below. Try to make it your own and as far as practical  In today's media-rich world (or media-saturated, depending on your view), one rarely has to look far to find parents concerned about the ways that kids engage with .....

Here is an example: Please look it carefully and try your question. Question: P and Q are two points on the line x - y + 1 = 0 and are at distance 5 units from the origin. Find the area of triangle .....

Here,  f(x) = 2x + 1 Find f-1(x), you will get f-1(x) = (x - 1)/2. Similarly find g-1(x), You will get  g-1(x) = 2x + 5. Now find f-1g-1(x). Then put x = 3 and get .....

Here,  A = [2x759] And B = [9y-54 ] By the defination of inverse matrix, AB = I, where, I =[ 1001] or, [2x759][9y-54] = [1001] Now multiply and compare the corresponding elements and find x & .....

Here we have given two cases and need to calculate  b and c.  f ( x ) = x2 + bx + c Here x + 1  is factor of f (x) , So compare x + 1  with x - a we get a = -1 By  remainder theorem, f(-1) = 1  .....

a. does she?  b. haven't they?  c. will you? d. will you?  e. do they? f. did he? g. aren't there?  h. aren't there? i. shall we?  k. will .....

Here, Rs. 1500 = $14 £12 = Rs. 2200 £50 = x ($)  Using chain rule we get, 1500 ⨯ 12 ⨯ 50 = 14 ⨯ 2200 ⨯x Solve and find .....

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An independent judiciary works for the protection and promotion of democracy in the country. Its main functions to make democracy successful are mentioned below: a. Advisory Functions: Judiciary gives advice to the other organs of the state if .....

Well, the house of representatives is the elected body of people's representatives. They are elected through the election. Definitely, it is given the power to approve the budget and forms of taxes. It has such power because it is the .....

Development is very limited or prevented altogether on the lands. Hunting is also limited or illegal. Critically endangered animals are often protected by keeping some of them captive and breeding them in captivity. This helps scientist to keep .....

Let 'C' be the set of symbol of playing cards. then C = { Clubs , Diamonds , Hearts , Spades} or   C = { ♣, ♦ , ♥ , ♠ .....

Here, given A = 60⁰ and B = 30⁰ We have to prove, sin (A + B) = sin A . cos B + cos A . sin B. From LHS. sin (A + B) =sin (60⁰ + 30⁰) = sin 90⁰ = 1 From RHS sin 60⁰ . cos 30⁰ + cos 60⁰ . sin 30⁰  =32  . 32 + 12 . .....

Particular Amount Particular Amount To Gross loss b/d 350000 By Purchase discount 50000 To carriage outward 55000 By commision received 60000 To salaries 70,000 By interest .....

क) हामीले माघीमा खुब रमाइलो गयौँ । ख) सोनाम दोर्जेे अचार बनाउन जान्छ र ? ग) तिमीले क्रिसमसमा .....

क) मिहिनेतद्वारा अवश्यै सफल भइन्छ । ख) उनीले भाइलाई महान् कलाकार बनाउने छिन् । ग) जब फुलचोकीमा .....

So, the distance between 2F and O is 2f (which is equal to 8 cm). If an object is kept 7 cm away from the lens,  the object lies between 2F and F. The given diagram shows the formation of the image by the lens. The image is formed .....

d) CO2 acts on fires in two ways: The release of the gas under pressure has a cooling effect, as can be seen by the resulting mist cloud and ice particles; the gas also displaces the oxygen that's necessary to maintain .....

Aren't .....

The given expression (27 + 31 + 35 + 30 + .......) is not in arithmetic series because the fourth term is not valid. The difference between fourth term and the third term is not equal to the difference between second term and first term. For .....

Here given, f-1 = {(2 , 1), (3 , 2), (5 , 3)} g-1 = {(2 , 3), (4 , 5) , (6 , 2)} then, f = {(1 , 2), (2 , 3), (3 , 5)} g = {(3 , 2), (5 ,4 ) , (2 , 6)} Now, arrow diagram is given below: gof = {(1 , 6) , (2 , 2) , (3 , .....

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Article 4 of the UN Charter provides the criteria for Membership into the United Nations. It provides for a number of conditions for admission: 1. Peace loving 2. State 3. Accept the obligations contained in the Charter 4. Be willing to carry out .....

On 1 December, United Nations Office on Drugs and Crime (UNODC) commemorates World AIDS Day. It commemorates the day by remembering those who have fallen to AIDS. By taking stock of years of hard work to curb the epidemic and having an honest .....

The UN Charter describes the secretary-general broadly as the international body’s "chief administrative officer." The secretary-general’s role is "equal parts diplomat and advocate, civil servant and CEO." The .....

Here, angle of rotation are +50 & +40 and centre of rotation is origion for both. In this case,  Combine rotation = +50 + 40 = +90o about the origion. Can yo find the image of (-5, 2) .....

Here,  Vector PQ = OQ - OP = (1,3) - (1,1) = ( 0, 2) Magnitude of vector PQ = PQ  = √[x2 + y2] = 2 units. Similarly find vector QR and magnitude of QR. Find  Vector PQ . vector QR .....

Here, a⃗ = 2i⃗ - 4j⃗ Let b⃗ = xi⃗ + yj⃗ be the vector perpendicular to a⃗. You know, dot product of two perpendicular vectors is 0. So,  a⃗ × b⃗ = 0 ( 2i⃗ - 4j⃗ ) × ( xi⃗ + yj⃗ ) = 0 or, 2x - 4y .....

LHS

= .....

Here,  (x +y) / ( x - y) - (x -y) / ( x + y) - 4xy / ( x2 + y2) = [ (x +y)2 -  ( x - y)2] / (x -y)  ( x + y) - 4xy / ( x2 + y2) = [ x2 + 2xy + y2 - x2 + 2xy - y2] / (x2 - y2) .....

Here,  A + B + C = π or, B + C = π - A Operating both sides by sin, we get SinB cosC + cosB sinC = sinA....................(i) We have given,  SinB sinC = sinA ...................(ii) Divide (i) by (ii) and simplify .....

Let tn = 1/512   r = t2/t1 = 1/2. n = ? We know, tn = arn-1 or, 1/512 = 1/2 ⨯ (1/2)n-1 or, 1/256 = (1/2)n-1 Solve and find n. If you get n is +ve whole number, 1/512 is a trem of given GP, otherwise .....

Let, f(x) = 8x³-2x²-5x-1 Compare (4x + 1) = 4( x + 1/4) with x - a, we get a = -1/4. By the remainder theorem,  Remainder = f(a)                   = 8(-1/4)³ - .....

Here,  f-1 = { (2, 1), (5, 3), (1, 2)} So, f = { (1, 2), (3, 5), (2, 1)}  [ Interchanging x and y.] And ,  g-1 = { (3, 2), (1, 5), (3, 1)} So, g = { (2, 3), (5, 1), (1, 3)} Can you find fog .....

Here, a4 - a  Taking a common we get, = a( a3 - 1) = a(a3 - 13) Now use formula a3 - b3 = (a - b) (a2 + ab + b2) and find .....

Here, R1 denotes the reflection in the line x = k, then: R1: P (x, y)→ P' (2k - x, y) Thus,  Reflection in the line x = -3, is A(3, 5)→ A' (2⨯-4 - 3, 5) = A'(-11, 5) Simiparly find B' & .....