Given, a(3,0) and b(5,6), Slope of ab ( m ) = ( y2 - y1 ) ∕ ( x2 - x1 ) = ( 6 - 0 ) ∕ ( 5 - 3 ) = 6 ∕ 2 = 3 Since the point p(x,y) lies on the line. ( y - y1 ) = m( x - x1 ) ( y - 0 ) = 3( x - 3 .....

Given, x + y = 2 -------------- [ I ] 2x - 4y = 1 ---------------- [ II ] Multiplying equation [ I ] by 4, we get, 4 ( x + y ) = 4∗2 4x + 4y = 8 --------------- [ III ] Adding equation [ II ] and equation [ III ], we get, 2x - 4y + ( 4x + .....

Here, a room contains 288 m3 air in it. That means the volume of the  room = 288 m3 Let the length, breadth and height of the room be l, b and h respectively. So,  l × b × h = 288 -------- .....

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Population management is one of the challenging problems of the present day world. Mainly the overpopulation has affected the environment. Due to overpopulation, different kinds of pollutions are increasing day by day. Nepal is not free .....

Here, y = 30 [ Angles in alternate angle are equal .....

a. True b. True c. True d. False e. True f. True g. False h. True i. True j. .....

Similarly, the Himalayan region is important for the tourism industry. People involve in the tourism industry. They work as a tourist guide. Mounteneouring is another important work in the Himalayan region. Similarly, the Himalayan .....

Ceramic clay is a finely-grained natural rock or soil material that combines one or more clay minerals with possible traces of quartz (SiO2), metal oxides (Al2O3 , MgO etc.) and organic .....

Answer: Gypsum plays a very important role in controlling the rate of hardening of the cement. Explanation: During the cement manufacturing process, upon the cooling of clinker, a small amount of gypsum is introduced during the final grinding .....

a. Organisms that live on land are called terrestrial animals and those living in water are called aquatic animals. b. The plant that grow in desert have fleshy stem where  c. The pipes found in the stem are mainly for transportation of food .....

Last year a hurricane was experienced by my family and me for the firsttime. It was Hurricane Ellen, and much damage to our property andneighborhood was caused by its fierce winds of 200 miles per hour and itsheavy rains. The old oak tree in our .....

Please post the graph for the .....

Please, re-post the question. It could not be seen .....

Total Fertility RateTFR= 730×51000 Note: Now calculate .....

Don't they? Don't they? Isn't .....

Here, the given equation is  x2 - 3xy + 2y2 = 0 Factorize the equation to separate equations of lines. or, x2 - xy - 2xy + 2y2 = 0 or, x(x - y) - 2y(x - y) = 0 or, (x - y)(x - 2y) = 0 Either (x - y) = 0 or, (x - 2y) = .....

Here,  2(cosA + cosB) = 1 or, cosA + cosB = 1/2 or, 2cos(A + B)/2.cos(A - B)/2 = 1/2                 [using the formula; cosA + cosB = 2cos(A + B)/2.cos(A - B)/2] or, cos(A + B)/2.cos(A .....

Let (7x - 3)/2 = (9 - x)/4 = y i.e.  (7x - 3)/2 = y or, 7x - 3 = 2y  or, 7x - 2y = 3 ------------(i) and (9 - x)/4 = y or, 9 - x = 4y  or, 9 = x + 4y or, x + 4y = 9 -------------- (ii) We can write (i) and (ii) in .....

Here,  cos10A + 7 = 8cos5A or, cos2(5A) + 7 = 8cos5A               [changing in the form of cos2θ] or, 2cos25A - 1 + 7 = 8cos5A           [using the formula; .....

Here,  2cos3A + 2sin2AcosA = 5sinA.cos2A    or, 2cosA (cos2A + sin2A) = 5sinAcos2A        [cos2A + sin2A = 1] or, 2cosA = 5sinAcos2A or, 2 = 5sinAcosA                .....

Here, we have x2y22 + 1 + y2x22 and xy3 + yx3 Here, the first expresion is  x2y22 + 1 + y2x22   =   x2y22 + y2x22 + 1 = x2y2 + y2x22 - 2x2y2.y2x2 + 1                .....

Here given,  Area of pyramid (A) = 96 cm2  length of base (a) = 6cm slant height(l) = ? We know, Area of pyramid (A)  = area of base + area of triangular faces 96 = a2 + 4 ⨉ 1/2 ⨉ a ⨉ slant height  .....

Jitiya is one of the most important Tharu festivals. It is celebrated by Tharu women. The Tharu women celebrate Jitiya by fasting for the welfare of their children. The brothers visit their sisters’ home to invite them and take their .....

Here,  Selling price of a television (SP with VAT) = Rs. 99,000 Discount percent (d%) = 20% VAT percent = 20% Let the marked price of the television be x. We know,  SP = marked price - discount on marked price or, SP = x - 20% of .....

Once there was a fox. He lived in a jungle. There also lived a Crane. The crane and the fox were great friends. They visited each other's home now and then. One day, the fox invited the crane to dinner. He put the soup in a flat .....