So in order to save humanity and ecosystem running in our home planet "earth", we must wisely use the natural resources. Resources used in a wise manner can prolong our species to continue on the earth, saves the ecosystem and so .....

So it is said population education should be introduced in school curriculum to handle the problems and solve rationally by the next .....

The litres of milk given by cow is in AP as, 1, 2, 3, .........81 So, total litres of milk = sum of Arithmetic Progression                                   .....

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Here,  First expression = 2x3 + 16                                   = 2(x3 + 23)                     .....

Here,  x° and 54°form a linear pair. So, x° + 54° = 180° or, x° = 180° - 54°  Hence, x° = .....

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Safe motherhood is a programme which has been designed to provide the proper care to the women during and after pregnancy. It is concerned with the over-all well being of the women and the child during and after delivery. Some of the major aspects .....

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Let, O and F denote the civil servents working in the office and field respectively. Then,  n(U) = 90, n(O) = 65, n(F) = 50, n(O ∩ F) = 35 Now,  Number of civil servent who were absent  = n(O ∪ F)' = n(U) - .....

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Here, MP = Rs. 3500, discount = 12% and VAT% = 10% Now,  SP = MP - D% of MP        = Rs. 3500 - Rs. 3500         = Rs. 3500 - 0.12 ⨉ Rs. 3500          = Rs. .....

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The given equation of the circle is,  2x2 + 2y2 + 4x - 2y + 1 = 0. or, x2 + y2 + 2x - y + 1/2 = 0     [ Dividing by 2] or, x2 + 2.x.1 + 12 + y2 - 2.y.1/2 + (1/2)2 - 12 - (1/2)2 + 1/2 = 0 or, (x + 1)2 + (y - 1/2)2 = 3 / 4 or, .....

The formula used to determine acceleration of a moving body is,  Acceleration =  Final velocity-Initial .....

The formula of velocity is    Velocity = Distance / .....

Uniform velocity when a body covers equal distance in equal interval of time in a specific direction is said to have uniform .....

If 2x + 1 is a factor of  2x3 + kx2 + x + 3, then f(- 12) = 0 or,  2 ⨉ (- 12)3 + k (- 12)2 -  12 + 3 = 0 (after calculation you will get the value of k)  or, - 28- k4-12+ .....

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When two ends of the diameter are (x1, y1) and (x2, y2),  Then, the equation of circle is,  (x - x1)(x - x2) + (y - y1)(y - y2) = 0 Using the given points, we get,  (x - 0)(x - 4) + (y - 0) (y - 7) = 0 or, x2 - 4x + y2 - 7y = .....

Here, the given equation is, x3 + 4x2 + kx = 30  Since, (x - 3) is the factor, x = 3 must satisfy the given equation, so, 33 + 4⨉(3)2 + 3K = 30 or, 27 + 36 + 3K = 30 or, 3k = -33 So, k = -33 /  3 = .....

Here, f = {(1, 2), (0, 3), (5, 7), (4, 6)} To find inverse of f (f-1), you should just interchange the value of ordered pair. So, f-1 = {(2 , 1), (3, 0), (7, 5), (6, .....

Here, 2cosθ = 1 or, cosθ = 1 / 2 or, cosθ = cos60∘ So, θ .....

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The equation of the circle with centre (h, k) and radius r is, (x - h)2 + (y - k)2 = r2 So,  when centre = (2, 3) and radius = 5 (x - 2)2 + (y - 3)2 = 52 or, x2 - 4x + 4 + y2 - 6y + 9 = 25 or, x2 + y2 - 4x - 6y - 12 = 0 is the .....

The given equation is not the equation of the circle. For the equation to be circle, the coefficient of x2 and y2 must be equal. So, please recheck the .....

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Velocity  Acceleration 1. Rate of change of displacement. 1. Rate of change of velocity. 2. How fast something is moving and in which direction. 2. How fast the moving object's .....

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Here,  CP of a moblie = Rs. 7200 Profit percent = 10% Now,  SP = CP + P% of CP       = 7200 + 10% ⨉ 7200        = 7200 + 720         =Rs. .....

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Let  tan(15°) = tan(45°-30°) We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B) ⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°) = {1- (1/√3)} / {1+(1/√3)} ∴ tan15° = .....

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Speed is the rate at which someone or something moves or operates or is able to move or .....

Here,  The equation of motion are  s = ut + 1/2at2 v = u + at v2 = u2 + 2as Where,  's' stands for distance travelled. 'u' stands for initial velocity 'v' stands for final velocity 'a' .....

We have,  The equation of pair of straight lines,  2x2 + 7xy + 3y2 = 0 or , 2x2 + 6xy + xy + 3y2 = 0 or, 2x (x + 3y) + y (x + 3y) = 0  or, (2x + y) (x + 3y) = 0 Hence, two separate equations are; 2x + y = 0  .....