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Maths
GCSE

The circle c has equation x^2+ y^2 = 1. The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

x^2 + y^2 =1 y = 3x + 1 x^2 + (3x + 1)^2 = 1 x^2 + 9x^2 + 6x+ 1 = 1 10x^2 + 6x = 0 x(10x+6) = 0 x= 0 or x = -6/10 = -3/5 When x = 0, y = 1 When x = -3/5, y = -4/5

PJ
Answered by Prince J. Maths tutor
3783 Views

How do you use SOH CAH TOA?

If you have a right angled triangle, it is made up of a hypotenuse, adjacent and opposite. In SOH CAH TOA, the middle letter goes up, so when we use the equation, it will be sin=opposite/hypotenuse, etc. ...

KR
Answered by Katherine R. Maths tutor
4109 Views

When do I use Sin, Cos or Tan?

You use these functions when you either have a length and an angle and you are looking for a length or when you have two lengths and are looking for an angle. There is a simple way to remember which one t...

AC
Answered by Aaron C. Maths tutor
11701 Views

There are 30 yellow sweets and 10 black sweets in a bag. Two sweets are taken out at random without replacement. Work out the probability that the two sweets are the same colour.

It is important before proceeding with the question to note down a few key facts. As can be seen by the question there are 40 sweets in total. With probability questions in general it can be easy to remem...

JT
Answered by James T. Maths tutor
8716 Views

Write y = x^2 + 4x + 6 in the form y = (x + a)^2 + b. What is the minimum value of y?

This is an example of completing the square. Notice that when we expand y = (x + a)^2 + b we get y = x^2 + 2ax + a^2 + b. By comparing coefficients (ie, making sure the number x is multiplied by and the c...

NS
Answered by Naomi S. Maths tutor
7219 Views

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