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Area of Parallelogram ABCD = Area of Triangle AEF Process Construct a parallelogram ABCD with the help of information given in question. Make the base of triangle double of base of parallogram. i.e. AF = 2AB as in figure. Measure the arc of .....

वाङ्मय   गद्य  र पद्य लेखिएको शास्त्र तथा काव्य दुवै प्रकारका समस्त भाषावद्ध  रचनाहरुको .....

Area of triangle PQR = Area of parallelogram OMNQ Process: Construct a triangle PQR by the help of information given in question taking PQ as base. Draw a perpendicular bisector of side PQ.  Draw a line passing through R and parallel to .....

Area of triangle ABC = Area of triangle PBC Process: Construct a triangle ABC by the help of information given in question. Two triangles will have equal area if they have same base and are standing between the same parallel lines. So, construct .....

Area of triangle ADE = Area of Quad ABCD Process: Construct a quadrilateral ABCD by the help of information given in question. Join B and D. BD is diagonal of quadrilateral ABCD. Construct a line through vertex C which is parallel to the .....

Steps: 1. Using rular draw line AB such that AB = 5 cm. 2. Using compass draw an angle 75 at point B and 45 at point A. [ We have <B = 75 and <C = 60 so <A must be 45] 3. Now ∆ABC has been constructed. 4. Draw line through C such .....

Solution: Here, we can write the question as 2x + 3x Both the terms are like terms, so we can add them  i.e;  2x + 3x  = 5x             Because, 2 + 3 =5. Therefore,  2x + 3x = 5x  .....

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Here we have given two cases and need to calculate a  and  b.  f ( x ) = x3 + ax2 - bx + 6 Here x - 2  is factor of f (x) , So compare x - 2  with x - a we get a = 2 by factor theorem, f(2) =0   .....

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We have given, Vector a= mi+3j and  Vector b=2i+3j. Two vectors are said to be perpendicular if, vector a . vector b = 0 or, m X 2 + 3 x 3  = 0 or, 2m + 9= 0 or, m = -  9 / 2 Therefore,  m = - 4.5 is .....

We have given,  Cos4A = Sin2A or, cos4A = cos( 90o - 2A)          [ Since, cos( 90 - X ) = SinX ] or, 4A = 90o - 2A  or, 4A + 2A  = 90o  or, 6A =90o or, A  = 90o / 6 Hence, A  = .....

LHS = cos105°.cos15°           = 1/2 [ 2cos105°.cos15°]  Using,   2CosACosB = Cos(A+B)+Cos(A-B) ,          = 1/2 [ Cos(105o + 15o)+Cos(105o - .....

Here, SinA/3 = 3 / 5 We have formula, relating sin A/3  and sin A as sin A = 3sin A/3-4sin3 A/3             = 3 x 3/5 - 4 x ( 3/5)3          [ Replacing , sinA/3 .....

LHS = cos18o - sin18o          = cos( 90o - 72) - sin18o          = sin72o - sin18o          Using ,  SinC - SinD = 2Cos[(C+D)/2]Sin[(C-D)/2]       .....

The given equation is: x2 + y2 - 4x - 6y + 11 = 0 or, x2 - 4x + 4 - 4 + y2 - 6y + 9 - 9 + 11 = 0 or, (x - 2)2 + ( y - 3)2 = 2  .......(i) Which is in the form of (x - h)2 + (y - k)2 = .....

We have given equation, x2 + x - 2y - 4y2 = 0 or, x2 - 4y2 +  x - 2y = 0 or, x2 - (2y)2 +  x - 2y = 0 or, ( x + 2y) (x - 2y) + 1 ( x - 2y) = 0 or, (x  - 2y) ( x + 2y + 1) = 0 Either, x - 2y = .....

We have given,   ax + by + c = 0 Slope of this line = - a / b   Another line is ,  px + qy + r  = 0 Slope of this line = - p / q Since given lines are //,  - a / b = - p / q or, aq = bp  or, aq - bp = .....

Here, Frist term = a  = 1 / 8   Fourth term = 32 We know,  t4 = arn-1 or, 32 = 1 /8 x r3 or, r3 = 32 x 8  or, r = 4 3√4 So, x  = t2 = ar = 1/8 x 4 3√4 = 3√4 / .....

Here, x - 1 is factor of f(x),  So, f( 1 ) = 0 or, 13 - 6 . 12 - 1 + m = 0  or, m = 6 Therefore, f(x) = x3 - 6x2 - x + 6 To prove, x  - 6 is factor, f(6) = 63 - 6 . 62 - 6 + 6    .....

We have given, f(x + 2) = 5 - 3x Now, put x  = x - 2 we get f( x - 2 +2 ) = 5 - 3 ( x - 2) or, f (x) = 5 - 3x +6 Hence, f(x) = 11 - .....

To solve we need graph, Here I help you to find the vertex of parabola and table of parabola  and  line. Given, x2 + x - 2 = 0 or, x2  =   2 - x  = y (say) So, y = .....

       X      f    |d| = | X - Md|    f|d|        2     1      6   6       .....

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In the figure, ABCD is a rectangle and AC and BD are diagonals. You may know, AC vector = AB vector + BC vector Squaring both sides , you will get, AC2 = (AB vector)2 + 2 x AB vector . BC vector + (BC vector)2 [ Product of two .....

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We know,  Area of four walls = Perimeter x height                               = 200 m x 4m                     .....

Water is very important for life. We need water to drink, to wash our hands, to cook food, to water plants and many other things. All the living things need water to .....

School is the place where you learn new things. To keep the school clean, Do not throw waste papers or dirt anywhere you want. Keep the dirt and sweet-wrappers into a dustbin.  Tell your friends not to throw dirt .....

Some of the good habits are as follows: - Going to bed early, - Wake up early in the morning, - Going to school regularly, - Eating balanced diet, - Respecting teachers and seniors, - Loving juniors, - Obeying parents, - Helping poor, .....

Earth is a planet where we live. Earth consists of air, water, and land. Earth is a common home of all living .....

Population management is a practice of maintaining the number of people in the given community as per the available resources. It focuses on maintaining the population and the natural balance. Its primary aim is to maintain the ability of the .....

Glycolysis is the first step in the breakdown of glucose to extract energy for cellular metabolism. Most living organisms carry out glycolysis as part of their metabolism. The process does not use oxygen, and can thus .....

Talent refers to the natural ability to do something .....

The sources of light made by human such as torchlight, electric bulb, candle, matchstick etc. are artificial sources of .....

Unless is used in a sense of except under the condition that: E.g.:  I wil complete the task at three, unless you disturb me. In the above given example, the speaker says that he will complete the task at time provided that he shouldn't .....

There are many methods to measure the body temperature depending on the measurement sites. Typically there are three specific sites that are options for a patient, dependant upon their age and physical condition. They are: oral (from .....

Brazil is the first richest country in .....

Krishan Pahadi was the chairperson of Nepal Nagarik Samaj. He established many social organizations like Human Rights & Peace Society (HURPES), Human Rights Organization of Nepal (HURON) .....