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For what values of k does the line y=kx-1 have two distinct points of intersection with the circle (x-2)^2+(y-3)^2=2?

sub y=kx-1 into circle equation, get (k^2+1)x^2-(8k+4)x+18=0for 2 distinct solutions need b^2-4ac>0, ie -8k^2+64k-56>0iff k^2-8k+7<0complete the square: intersections of equation in k satisfy(k-4...

Answered by Christopher B. • Maths tutor

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How do I form the present conditional tense and when is it used?

To put it simply, we use the conditional tense (le conditionnel) to talk/ speculate about what 'would' happen.It is formed by taking the same stem as the future tense (which in most cases would be the inf...

Answered by Clare B. • French tutor

2430 Views

“Peter sets a good example for Christians.” Do you agree? Give reasons for your answer.

I agree that Peter is a good example for Christians as he was the first disciple called by Jesus and one of Jesus' closest friends. He followed Jesus "immediately" when asked to follow him and l...

Answered by Orla H. • Religious Studies tutor

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How far does Priestley present Mrs Birling as an unlikeable character? In what she says and does in the play, and how Priestly presents her through his writing.

What Mrs Birling says and does throughout:
Her general attitude towards others for example, refusing to help Eva Smith when she needed it the most.The phrases she uses throughout, portray a judgment...

Answered by Leah B. • English Literature tutor

21273 Views

To what extent can mortals transcend their mortal limitations?

In this essay, I will consider how four Presocratic thinkers bridge an epistemic gap between mortal and divine, thus transcending their mortal limitations. Fundamentally, human knowledge is limited: from ...

Answered by Orlando D. • Classical Greek tutor

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