Let us consider that the second bus will meet the first bus after x hours. Speed of second bus = 60 km/hr i.e. in 1 hour, the second bus will cover 60 km. In x hours, the second bus will cover 60x km. Speed of first bus = 40 km/hr. i.e. in .....

Here, given 2x+1 - 2x - 8 = 0  or,  2x+1 - 2x = 8 or, 2x ⨉ 2 - 2x = 8 or, 2x (2 - 1) = 8 or, 2x = 23 Therefore, x = 3 Now additive inverse of 'x' is .....

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Let x/y be the fraction. Then, from the first case, (x + 5)/(y - 3) = 2 or, x = 2y - 11................(i) From the second case, 9x = 7y.......................(ii) Now solve (i) & (ii) and get x/y. [ Note: from the second case, 9x = .....

Here, Sin2θ + cosθ = 0 or, 2sinθ cosθ + cosθ = 0    [ ∵ Sin2A = 2sinA cosA.] or, cosθ( 2sinθ + 1) = 0 Either, cosθ = 0  ⟹  cosθ = cos90o ⟹ θ = 90o Or, .....

Here, a12 - 1  = (a6)2 - 12 Using formula of a2 - b2, we get =(a6 + 1)(a6 - 1) = [(a2)3 + 13] [(a2)3 - 13]  Using  formula of a3 + b3 & a3 - b3 we get , = [(a2 + .....

Here,  LHS = sin∅.Cot∅ We know, cotA = cosA/sinA, so LHS becomes        = sin∅.Cos∅/sin∅.        = Cos∅        = .....

[ Note: Something is wrong in the figure, (length of side of  base = 2m cm????). So taking 2cm as the base, process is given below.] We know,  Let a be the length of square and l be the slant height. Then, LSA = 2al or, 2al .....

The Himalayan region is one of the three regions of Nepal. It lies in the northernmost part of the country. It covers 15% of the total land. The Himalayan region is less civilized than other regions. The regions behind this are as follows: - .....

Here, Acceleration due to gravity of Earth, g = GM/r2  = 9.8 m/s2 Acceleration due to gravity, g ' , on a planet with three times Earth mass and three times Earth r, g .....

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Excretion is a process by which metabolic waste is eliminated from an organism. In vertebrates this is primarily carried out by the lungs, kidneys and skin. In primitive (unicellular) organisms, waste products are discharged directly through the .....

                                                                      .....

In triangles ABE and EFD,  i) ∠AEB = ∠FED      [vertically opposite angles] ii) ∠ABE = ∠EFD     [ alternate angles as AB // FC ] iii) ∠BAE = ∠EDF    [ .....

Here,  Triangles PQR & PQS are similar. Since, ∡PQR = ∡PSQ = 900 & ∡P = ∡P, common in both. Now taking the ratios of corresponding sides,  PR/PQ = PQ/PS or, PR/PQ2 = 1/PS. Multiplying both .....

In triangle OAB,  OA = OB   [ radii of circle ] So, OAB is an isosceles triangle Thus,  i) ∠OAB = ∠OBA     [base angles of isosceles triangle OAB] ii) ∠OAB = ∠AOM    [ alternate .....

A blind man can identify iron and plastic by its weight and .....

We know that Nepal is a democratic country. In Nepalese democracy, different political parties with their own ideology compete to govern the country. At present, the Communist-led government is ruling the nation. The other political parties are .....

Sputnik was the first artificial satellite launched in .....

The general equation of a circle is (x - h)2 + (y - k)2 = r2, where (h, k) are the coordinates of the centre and r is the radius of the circle. Circle passes through three points. The coordinates of the points give the value of x and y .....

Here,  Comparing the given equation 5x2 - 8xy + ky2 = 0 with ax2 + 2hxy + by2 =0, we get a = 5, h = -4 & b = k. If the lines represented by the given equation are perpendicular,  a + b = 0 or, 5 + k = .....

File Handling is a process to create data file,write data to the data file and read data from it. It also includes data transfer. Data transfer is generally done in two ways: i.Reading data from Input device (memory) and writing into .....