Slope of diagonal AC, (m1) = (9 - 5)/(7 - 3) = 4/4 = 1.  [ m =(y2 - y1)/(x2 - x1)] Now, find the midpoint of AC, ie. {(3 + 7)/2, (5 + 9)/2} = (5, 7)  [ mid point = (x2 + x1​)/2, (y2 - y1)//2​​​​​​] Since, diagonals of .....

13 x 50 - 40 x 13   [ Use BODMAS rule] = 650 - 520 = .....

 x2 + 5x - 12 = x2 + 8x - 3x - 12 = x(x + 8) - 3(x + 8) = (x + 8) (x - .....

The three measures to minimize the adverse effect of climate change are suggested below: - The forest should be conserved and the bared land should be planted with trees. - The use of hydro-electricity should be given due emphasis. - The .....

.....

As shown in the figure, when light travels from one medium (air) to another medium (water), light bends, which is called refraction. Due to this phenomenon, the refracted rays( shown as the dotted lines) meet in a height which is above the actual .....

When a pencil is obliquely dipped in water , the ray of light travelling from pencil to observer travel from denser medium to rarer medium & hence bend away from normal . In this way , every point of the dipped part of pencil has a virtual .....

The perpendicular distance between the emergent ray and the incident ray is called lateral shoft. You can see in the above .....

.....

.....

Untouchability is a social practice in which definite group of people are dominated in the name of caste. This problem is based on caste system and in many cases, it is based upon the religious belief. The members of higher caste consider the .....

Look at the above picture. Here, person's name is Anita. an animal's name is .....

Let the 3 nos be a , ar and ar² given that the sum of no's is 70 therefore, a + ar + ar2 = 70  or,    a(1+r+r²) =70 ....................................................(i) Also given that 4a,5ar and 4ar² in .....

Electrons are the negatively charged particles of atom. Together, all of the electrons of an atom create a negative charge that balances the positive charge of the protons in the atomic .....

Here,  5 /8 x 12  = 5 / 2 x 3 = [ 5 x 3 ] / 2 = 15 / .....

बैंक कार्ड वा चेक कार्ड भनेर पनि चिनिने डेबिट कार्ड एकप्रकारको प्लास्टिक कार्ड हो । यसको .....

The Terai Land Structure: The Terai region covers 17% of the total land. It lies from 60m. to 600m. from sea level.  The Terai land of Nepal is plain with alluvial soil. This type of soil contains sand and sticky soil in about equal .....

Terai It covers about 17% land mass of the country. Southern Nepal features the country's only .....

The Utility of Hilly Region: The Hilly region covers 68% of the total land. It lies to the north of Terai region. It consists of hills, flatlands and deep valleys. This region is composed of Sandy gravel soil and Red rocky soil. Due .....

Nepal is a small, landlocked country, situated between Tibet (China) to its north, and India to its east, west and south. It is a South Asian nation which covers 0.03% of the total land of the world and 0.3% of Asia. It is located at .....

Here,  no(T) + no(C) = 300 n(TUC) ' = 50  n(U) = 400 n(T∩C) = ? We know,  n(TUC) ' = n(U) - n(TUC)  or, 5 0 = 400 - n(TUC)  or, n(TUC)  = .....

Here, Area of shaded region = Area of rectangle with length 5cm and breadth with 1cm + Area of rectangle with                                       .....

 ‘तिमीले हृदयमा अटाउन सक्ने जति तिम्रा आफन्त हुन् । संसारलाई माया लुटाऊ, संसार तिम्रै हो .....

We know , Area of equilateral triangle = √3/4 a2 So,  √3/4 a2  = 2  √3 cm2   or, a2 = 8cm2   or, a = 2 √2cm Hence side of triangle =  a = .....

Here, to find BD, use pythagoras theorem in triangle and get BD = √[AD2 + AB2] = √52 = 2√13cm Now area of qd.ABCD = Area of triangle ABD + area of triangle BCD                 .....

Here,  PM = 3 + 8 = 11cm, ON = 8 - 3 = 5cm Now  Area of trapezium = 1/2 h X ( PM + ON)                               = 1/2 X 4cm ( 11cm + 5cm)     .....

Here,  Area of the figure = Area of the right angeled triangle + Area of rectangle rectangles above it In the right angled triangle, Hypotaneous(h) = 10 cm. Base(b) = 8 cm. Using pythagoras theorem, h2 = p2 + b2 or, 102 = p2 + .....

Area of shaded region = Area of larger Trapezium - Area of small trapazium inside the bigger one Area of larger Trapezium = 1/2* 5 (8 + 6) = 35 cm2 Area of small Trapezium = Area of Rectangle + Area of triangle          .....

Winding roads are  an inclined plane. Due to decrease in steepness of slope, it magnifies the force and decreases the effort to be used. The hills can be climbed gradually. If a path goes straight up the side of the mountain, this .....

Here,  n(NUH) = 50, n(N ∩ H) = 20,  If, n(N) = 3y then, n(H) = 2y We know,  n(NUH) = n(N) + n(H) - n(N ∩ H) or, 50 = 3y + 2y - 20 or, 5y = 70 or, y = 14. Now draw diagram and find what you .....

In the given figure, <APB = < AQB    , since they are standing on same arc AB. And ,< OAB = < OBA ,    Since OA = .....

Many a student has brought books. Rules: The expression 'Many a/an' takes a singular verb.            Many a/an + .....

Here, The shaded region is a parallelogram [Opposite sides being equal] And, The rectangle and the parallelogram stand on a same vertical base and between parallel lines. Hence, the area of rectangle = Area of the shaded parallelogram  [The .....

Sun emits the constant stream of charged particles, especially protons and electron. And they have high velocity. Also they have varying density and velocity due to periods of solar activity. They .....

When compounded anually, The compound interest on a sum P in T years at R% per annum is CI  the relation is, C.I. = P [ (1 + R/100)T - 1 .....

If the initial population P increases at the rate of R% per annum in T years, population growth(PG) and population after T years (Pt) then the  relation among P,T,R and Pt  is given by, Pt = P [ 1 + R / .....

The effort distance is always lesser than the load distance in the third class lever. This is because, by moving effort distance in small amount , we can move more distance of load or load distance .....

.....

Here,  Frist expression = x ( a - b ) Second expression = y ( b - a )     ,   taking - common, we get,                                = .....

As we know,  TSA of prism = 2 Area of base + LSA                       = 2x + Perimeter of base X height                      .....

If amount  = A Rate = R Time = T  and  Principal =P then, A = P [1 + R /100]T Or, P = A /  [1 + R /100]T Which is required formula to calculate .....

The Mediterranean region lies in the Northern Hemisphere. During winter, pressure belts shift southward. Therefore, the Mediterranean region comes under the influence of Westerlies. Hence, this climatic region receives .....

Here, Area of shaded region = Area of horizontal strip + Area of vertical strip - Common Area                                     = 2*(60) + 2*40 - 2*2  .....

.....

1.Carpals are the bones in your hands while tarsals are the bones in your feet. 2.There are seven tarsal bones are in each ankle and eight carpal bones in each of your wrists. 3.Carpal bones are in the wrists and the tarsal bones are in your .....

The apex of the plant conttain apical meristem. Apical meristem helps to increase the length of the plant. When the apex it cut down, apical meristem also cut down along with it. So, a plant does not grow in height when its apex is .....

The respiratory system consists of all the organs involved in breathing. The respiratory system does two very important things. It brings oxygen into our bodies, which we need for our cells to live and function properly  and it helps us .....

In human beings and animals, urine and faeces are both the types of excretion. These wastes are important to be excreted (thrown out) to avoid sickness and other health related .....

.....

.....