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The point on the circle x^2+y^2+6x+8y = 75 which is closest to the origin, is at what distance from the origin? (Taken from an MAT paper)

This is a good example of a question where intuition about geometry is important. Completing the square is a standard A level practice to find the equation of a circle. Doing this we get(x+3)

JM
Answered by Jack M. Maths tutor
7198 Views

Can you prove to me why cos^2(X) + sin^2(X) = 1?

The answer to this lies in the geometry of a circle. At GCSE you were taught that a circle has a radius (which I will call R) which is the distance from the centre to a point on the circle. We pu...

JM
Answered by Jack M. Maths tutor
3757 Views

Examine the view that “‘A Streetcar Named Desire’ is not only the story of a desperate woman, but of a culture in the state of crisis”.

Indeed, Blanche DuBois is a woman in desperation. The initial monologue, ‘I, I, I took the blows’ conveys a gritty, realistic tone as Blanche has witnessed the death of those around her and now has nowher...

TD
6157 Views

Glucose is filtered out of the blood, but is not found in urine. Explain why glucose is not present in urine

Glucose is filtered out of the blood in the glomerulus of the kidneys. All of the glucose is then is actively transported back into the capillaries in the area of the nephron called the proximal convolute...

AC
Answered by Alex C. Biology tutor
15584 Views

What is the oxidation number of Mn in K2MnO4?

The oxidation number of an ion is the same as its charge. We know that the oxidation number of K+ is +1 and the oxidation number of O2- is -2, but we don't know the oxidation number of Mn so let's call th...

AC
Answered by Alex C. Chemistry tutor
51960 Views

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