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The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. Write the arithmetic progression thus formed.

Taxi fare for the first km is 15 Rs and then it increases by 8 Rs for each km.The first term a = 15 and common difference d = 8.The required A.P.... View Article

Find the general solution of the following equation: 2 tan x – cot x + 1 = 0.

The given equation is 2 tan x - cot x + 1 = 0.... View Article

Akash bought vegetables weighing 10 kg. Out of this, 3kg 500g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?

Total weight = 10 kgWeight of onions = 3.5 kgWeight of tomatoes = 2.075 kgTotal weight = Weight of onion + Weight of tomatoes + Weight of... View Article

Verify the following and name the property also: 3 / 5 × (- 4 / 7 × – 8 / 9) = (3 / 5 × – 4 / 7) × – 8 / 9.

The given expression is 3 / 5 × (- 4 / 7 × - 8 / 9) = (3 / 5 × - 4 / 7) × - 8 / 9.... View Article

By increasing the speed of a car by 10 km / hr, the time of journey for a distance of 72 km. is reduced by 36 minutes. Find the original speed of the car.

Let the original speed of the car be x km / hr.... View Article

14.9 ÷ 0.64.

The given expression is 14.9 ÷ 0.64.... View Article

The distance between Hyderabad and Delhi is 1674.9 km by rail how would you express this in centimetres? Also, express this in the scientific form.

The distance between Hyderabad and Delhi is 1674.9 km.... View Article

Compute the area of the curvilinear triangle bounded by the y-axis and the curve, y = tanx and y = (2 / 3) cosx.

The area is computed as follows.For the point of intersection... View Article

Sarita’s mother is now four times as old as Sarita. Five years hence, her mother will be three times as old as Sarita will be then. Find their present ages.

Assume the age of Sarita to be S and the age of her mother to be M.M = 45 ……….. .(1)After 5 years,M + S = 3 (5 + 5)... View Article

Sana and Fatima participated in an apple race. The race was conducted in 6 parts. In the first part, Sana won by 10 seconds. In the second part, she lost by 1 min, then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by 37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?

The winning time is a positive integer and the losing time be a negative integer. 1 minute = 60 secondsSana’s total time with Fatima... View Article

The plane 2x – 3y + z + 6 = 0 divides the line segment joining (2, 4, 16) and (3, 5, – 4) in the ratio

Assume the line segment joining points P (2, 4, 16) and Q (3, 5, - 4) be divided by 2x - 3y + z + 6 = 0 in the ratio k : 1 at a point R.... View Article

Evaluate 70x⁴ ÷ 14x².

The given expression can be divided as follows.... View Article

Verify that y² = 4a (x + a) is a solution of the differential equation y [1 – (dy / dx)²] = 2x (dy / dx).

The given equation is y2 = 4a (x + a).... View Article

The general form of 456 is

456 can be split as, 456 = 400 + 50 + 6456 = (4 × 100) + (5 × 10) + (6 × 100)⇒ 456 = (4 × 100) + (5 × 10) + (6... View Article

The equation of the bisector of the angle between two lines 3x – 4y + 12 = 0 and 12x – 5y + 7 = 0, which contain the point (- 1, 4) is

The equation of the bisector of the angle between two lines consisting of the point (α, β) is The equation is [(3x - 4y + 12)/5] =... View Article

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