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Find the equation of the tangent to the circle x^2 + y^2 + 10x + 2y + 13 = 0 at the point (-3, 2)

First, what is a tangent? A line which touches a circle (or ellipse) at just one point. In our case (-3,2)
As it touches the line at one point, it is perpendicular the radius at (-3,2). Which implies...

Answered by Patrick D. Maths tutor
5569 Views

Solve the following simultaneous equations for x and y : 2x - y = 12; x + 3y = 20

When solving equations such as these we have two variables which represent two numbers. In order to solve them we want to isolate and remove one of the variables so we are only left with one, we do this b...

Answered by Alexander S. Maths tutor
6500 Views

How do you add fractions? And how do you multiply fractions?

Addition of fractions involve the finding of a common denominator. This would aid the addition.
The multiplication of fractions can be made much easier through finding if they can be made smaller thr...

Answered by Devina T. Maths tutor
2721 Views

The line L has equation y=5-2x. Find an equation of the line perpendicular to L, which passes through the point P (3,-1).

The gradient of the line L is -2 so the gradient of the line perpendicular to L will be the negative reciprocal of -2 which is 1/2.The equation of the line perpendicular to L will be y=mx+c where m is the...

Answered by Katie N. Maths tutor
8271 Views

What is product rule differentiation?

Product rule differentiation, is a form of differentiation which is used to calculate the derivative, i.e. the gradient of the function, of a function f(x) which is made up of one function g(x) multiplied...

Answered by Thomas F. Maths tutor
3773 Views

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