Limits – Problems I. Solving the following limits 1) Solution: Given that , , , a + a = 2a 2. Solution: Given 1² + 2 (1) + 3 = 6 3. Solution: Given = 0. k where |K| ≤ 1 = 0 II) Find the right and left-hand limits of the function Solution: Given Read more about Limits – Problems[…]
Cyclic Process What is cyclic process? A process in which a system goes from an initial state to a final state and returns back to the initial state is called a cyclic process. The net energy change in a cyclic process is zero. That means, in a cyclic process, the system starts and returns to the Read more about Cyclic Process[…]
Perpendicular Distance from a Point to the Line – Problem Formula: The perpendicular distance from a point p (x, y) to the line ax + by + c = 0 is . 1) 5x – 2y + 4 = 0. (-2, -3) Solution: Given that 5x – 2y + 4 = 0 … (1) Length Read more about Perpendicular Distance from a Point to the Line – Problem[…]
Adiabatic Process Adiabatic process is a thermodynamic process in which there is no heat (Q = 0) transfer into or out of a system and is generally obtained by surrounding the entire system with a strongly insulating material or by carrying out the process so quickly that there is no time for a significant heat transfer to take place. Read more about Adiabatic Process[…]
Measurement of Mass Mass as a physical property of a body. Mass is a measure which helps in analysing how strong is a mutual attraction between two bodies. It is generally a wrong belief that mass is same as weight, as mass is a constant quantity, whereas weight is a variable quantity. Mass: Mass is a basic characteristic of matter. Read more about Measurement of Mass[…]
Pair of Straight Lines -Problems 1. Find the acute angle between the pair of line represented by the following equation x² – 7xy + 12y² = 9. Solution: Given that, x² – 7xy + 12y² = 9 Comparing with ax² + 2hxy + by² = 0 a = 1, b = 12 and h = Read more about Pair of Straight Lines -Problems[…]
Isothermal Process When a thermodynamics system undergoes a physical change in such a way that its temperature remains constant, then the change is known as isothermal changes. What is Isothermal Process? When a gas undergoes expansion or compression at constant temperature, the process is called isothermal process. This process is basically a thermodynamic process. Usually there Read more about Isothermal Process[…]
Straight Lines (Circumcenter) Problems 1) Find the circumcenter of the triangle whose vertices are (1, 0), (-1, 2) and (3, 2). Solution: Vertices of the triangle are A (1, 0), B (-1, 2), C (3, 2). Let S (x, y) be the circumcenter of triangle ABC, Then SA = SB = SC, Let SA = Read more about Straight Lines (Circumcenter) Problems[…]
Potentiometer The potentiometer is an electric instrument that used to measure to Electro Motive Force of a given cell, the internal resistance of a cell and also it is used to compare MFs of different cells. It can also use as a resistor in most of the applications. These potentiometers are used in huge quantities in Read more about Potentiometer[…]
Rotation of Axes (Change of Direction) 1) When the axes rotated through an angle 60, then new co-ordinates of three points are the following (3, 4). Solution: Given that, New co-ordinates are (3, 4) X = 3, Y = 4 x = X cos θ – Y sin θ = 3 cos60 – 4 sin60 = Read more about Rotation of Axes (Change of Direction)[…]