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P (–1, 4) is a point on a circle, centre O which is at the origin. Work out the equation of the tangent to the circle at P. Give your answer in the form y = mx + c

A tangent makes an angle of 90 degrees with the radius of a circle.Using this fact, we find the gradient of the radius going through P = -4Therefore gradient of the tangent to the circle at P is -1/-4 = 1...

CG
Answered by Charlie G. Maths tutor
9683 Views

What are some of the non-specific, first-line immune defences in humans?

When we think of immune defences, our minds may immediately jump to white blood cells such as macrophages or T lymphocytes, however there are actually many mechanisms by which our bodies fight infection b...

DA
Answered by Dawid A. Biology tutor
2899 Views

How did Adolf Hitler and the Nazi Party consolidate their power by 1934?

This question will probably be worth around 6 marks in the exam depending on what exam board is being sat. A general rule of thumb is that if a question is worth 6 marks then 6 pieces of information will ...

AG
Answered by Alexander G. History tutor
3174 Views

A mass of 2kg is dropped from rest at a height of 10m. i) What is the initial GPE of the mass? ii) What is the final velocity of the mass when it hits the ground?

Part iGravitational Potential Energy (GPE) = mass x gravitational acceleration constant x heightGPE = 2 x 9.81 x 10 = 196.2JPart iiConservation of energy states that the sum of the GPE and K...

ZS
Answered by Zaakir S. Physics tutor
4074 Views

n is an integer greater than 1. Prove algebraically that n^2-2-(n-2)^2 is always an even number

We want to show that this gives an even number, so we need to get it into a form that it is 2 multiplied by some positive integer. We start by expanding the (n-2)2 out, remember that (n-2)...

JC
Answered by Jacob C. Maths tutor
25778 Views

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