As per the derivative rules, the derivative of a constant function is zero. Thus, the derivative of 1 is zero. Aspirants should practice... View Article
The polar form of a complex number is another method to represent a complex number apart from rectangular form. Polar form of a complex number... View Article
1. The progression of the form: a, a + d, a + 2d, a + 3d, ...... is known as an AP. First term = a, common difference = d. nth term, an = a +... View Article
Complex numbers are the combination of real and imaginary numbers. Complex numbers are of the form, z = x + yi, where x and y are real numbers.... View Article
If the transpose of a square matrix with real entries is equal to its inverse, then the matrix is called an orthogonal matrix. Mathematically,... View Article
A parabola is a U-shaped curve where all the points are at an equal distance from a fixed point. Focus depends on the equation of the parabola.... View Article
Derivative of 2x: When we apply derivative on function 2x with respect to x, we have d/dx (2x) = 2 dx/dx = 2 x 1 = 2 Students can visit the... View Article
The absolute value of a number shows the distance from 0. Absolute value of 5 means, distance from 0 i.e. 5 The absolute value of 5 is 5. It... View Article
Hyperbola is a symmetrical open curve formed by the intersection of a plane and a double cone. It is one of the important shapes in conic... View Article
In calculus, we differentiate a function to find instantaneous rates of change, to check how fast a function changes under given conditions, how... View Article
A constant term is the value of any polynomial. A polynomial with constant terms and has no variable is called a constant polynomial. Degree of... View Article
What is the integral of sin 2x? Solution: Using integration by substitution. Put 2x = u, so 2dx = du or dx = (1/2) du Now, Practice more on... View Article
The answer is “No”. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees.... View Article
The conjugate of a complex number gives the reflection of the complex number about the real axis. Let z be a complex number, z = a + ib, then... View Article
The altitude is the perpendicular drawn from the vertex to its opposite side and make a right angle with the base. The altitude may lie inside or... View Article
The absolute value of 8 is 8. Absolute value can be written as abs() OR using bars as “||” For example: abs(8) = 8 OR |8| = 8 Click here to... View Article
Where are matrices used in real life? Matrices are used to describe the linear transformations. Also, used a lot in daily life, like in graphic... View Article
