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From above conditions, you can derive a equation i.e. 3x + 4  = 7 4x + 4     9 Solve the equation, you will find their .....

By the question, Area of the rectangular field(A) = 18000 m Let the length(L) = 5x        The breadth(B) = 4x The area of rectangle = L ⨉ B or,  18000 = 5x ⨉ 4x or 20x2 = 18000 or, x2 = .....

According to nebular hypothesis :there was a big bang ...Nebula was formed. it cools, gases(hydrogen and helium) Condenses, the main dust particles condensed formed the sun and the dust particles present in clamps due to Gravitation and .....

REASONS: 1)operational efficiency is insufficient for survival in today's competitive marketplace 2) Almost impossible to create success 3)Development of other network .....

A pump is a device that moves fluids (liquids or gases), or sometimes slurries, .....

Vital registration system is an important source of demographic data. The vital registration system was started in England in the 16th century for the first time. It is also known as the civil registration system. In this system, the various .....

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The most common form of spam is email spam, but the term also applies to any message sent electronically that is unsolicited and bulk. Email spam, also known as unsolicited bulk email (UBE), junk mail, or unsolicited commercial .....

Let the angle bisector of BAC intersect segment BC at point D. 

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Comets are often referred to as "dirty snowballs." They are left over from the formation of stars and planets billions of years ago. Before zipping around the Sun with their characteristic big tails, comets that we see in our solar .....

Here, you can suppose the breadth of the room as x. then you have, brreadth (B) = x length (L) = x + 2                (The length of a room is 2 m longer than it's breadth.) Now area is given. So use .....

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For example, the Panthera genus consists of seven cats, five of which are the largest in the cat family. They are closely related but they are different at species level. The tiger, lion, leopard, and jaguar have the same anatomical structure .....

Zinc is a metallic mineral found in trace amount in human body. It is involved in protein production, DNA synthesis and cell division. In this way, it helps in normal growth and healthy immune system function. Hence, zinc is necessary for human .....

A carnivore will use its teeth to kill a prey item before eating it. The sharp incisors and pointed canine teeth are perfectly designed for both incapacitating and eating a meal. A canine tooth can be easily identified, as it is the longer, .....

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A. 1. ahead - leading 2. move upon - travel to 3. soft - mild 4. .....

Fish is thought to be the first animal on this .....

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General Knowledge is and has always been my favourite subject. It was introduced to us in grade I and since then I have loved it. During grade I, we were taught common general knowledge things such as names of monuments, recognition of sports .....

Now, < OPX = < OPY [ corresponding angles of congurent triangle} Hence, OP is the bisector of angle .....

Turbine is a machine which converts water or wind power to useful form of energy. It consists of few blades or fans. When water or wind strikes the blades then it starts rotating. This rotating fan produces energy which helps to run the .....

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Litmus papers are indicators. Litmus paper is used to determine the acidity or alkalinity of a solution- its pH. Litmus paper turns red in the presence of an acid. If the litmus paper is red to begin with, there will be no color change. Red .....

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When acid reacts with base, salt and water are formed. For example: When hydrochloric acid (HCl) reacts with sodium carbonate (Na2CO3) i.e. base, sodium chloride (NaCl) i.e. salt, carbon-dioxide and water is produced.  Na2CO3 + 2HCl .....

We have,  Sin(90 + θ). sin(90 - θ) = x sin(-θ) - cos(-θ) + cos(90 - θ)- cos(90 + .....

We have,  x sec(90 + A) cosecA + tan(90 + A) cot(180 - A) = xcotA. tan(90 + A) or, x (-cosecA) cosecA + (-cotA). (-cot A) = x cotA.(-cotA) or, - xcosec2A + cot2A = - x cot2A or, cot2A = x(cosec2A - cot2A) or, cot2A = x. 1 Therefore, x = .....

Here,  h(x) = x3 + (a + b)x2 - 4x + 2 k(x) = x3 + 5x2 - (2a - b)x + 2  Here,  h(x) = k(x)  So, Coefficient of x2 of h(x) = Coefficient of x2 of k(x) or, a + b = 5 ............... 1. Also, Coefficient of x of h(x) .....

Here,  P(x) = Q(x)  So, the coefficient of x2 of P(x) = the coefficient of  x2 of Q(x) or, - k = - k Which is true. So, the value of the k can be any .....

We have, Sn = n2 - 2n Remember, tn = Sn - Sn-1  Now, t3 = S3 - S2 = 32 - 3×2 - (22 -2×2) = .....

Remember, tn = Sn - Sn-1  We have,  Sn = 8n2 + 16n +12 Now, t2 + t4 + t6 =  S2 - S1 + S4 - S3 + S6 - S5  Now, put the value of n is Sn to find the different value of Sn. Then, you .....

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If the no. are in proportion the their ratio are same. So,  4:9 = 16:32 or, 4:9 = 8:16 or, 4:9 =  1:2   (false) Which is not equal. Thus, they are not in .....

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We know that our forefathers are the source of inspiration to us. Thye have contributed a lot for the protection of our motherland and its people. They are the path exhibitionist to us and we these days are following their directive .....

Given, ABCDEF is a regular hexagon with center .....

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In a regular hexagon, vector of line formed by joining two opposite vertices is twice the vector non-adjecent to it. i.e. for the given hexagon ABCDEF, vector FC = 2a⃗ or, vector FC = -2d⃗ or, vector CF = .....

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