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The set of midpoints of the parallel chords of an ellipse with gradient, constant 'm', lie on a straight line: find its equation; equation of ellipse: x^2 + 4y^2 = 4

// Allow me to make the question more explicit: we have a set of lines of equal gradients ‘m’. We need to find a line through which the midpoints of the intersections of these lines with the ellipse; a...

DP
4837 Views

simultaneous equations - 2x + y = 7 and 3x -y = 8

there are a few main ways to solve simultaneous equations: find an equal like term. In this case y and add or subtract the two equations together to isolate one of x or y. 

Another way of...

JM
Answered by Josh M. Maths tutor
6183 Views

How and when do I use the subjunctive?

The subjunctive in French is used when talking about theoretical situations, and also with certain phrases using 'que' - this can be tricky, because the 'que' phrases must be learnt. The subjunctive is...

JO
Answered by Jennifer O. French tutor
4665 Views

How can I prepare for French listening exams?

Listening exams are one of the most difficult components of the French GCSE, but also one of the most important as they test both your understanding and vocabulary. Many students often find it difficult t...

JM
Answered by Jill M. French tutor
20617 Views

What is the value of x if x^2 - 3x +2=0?

This question can be difficult to see where to start, but can be quite easily solved once you realise what you have to do Firstly, let ax2+ bx + c =0. If this is also true, a=1, b= -3, and c...

CS
Answered by Charlotte S. Maths tutor
3179 Views

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