Search results

Hey guys, just some questions from cambridge: does anyone have the solutions to the last 3 questions of the geometry of a circle exercise in the topic of 'Harder 3 Unit'? any help would be appreciated thanks...

This is just a quick question from the conquering chemistry textbook Exercise 12: Cooling systems in motor cars are sealed: this means that the liquid(mainly water) is reciculated and is only occasionally replaced. A typical cooling system contains 10L. If all the liquid was water containing...

Hey guys, this is just question 9 from Exercise 3.4: P(ct, c/t), where t=/= 1, lies on the rectangular hyperbola xy=c^2. The tangent and normal at P meet the line y=X at T and N respectively. Show that: a) OP = PN b) OT.ON =4c^2 I was just wondering if there was another way of doing...

hey guys, sorry to be a pest but my mind is just goin blank on this cambridge exercise 3.2 question: P(acos@, bsin@) and Q (acos#, bsin#) lie on an ellipse: If PQ subtends a right angle at (a,o) show that tan(@/2)tan(#/2) = - b^2/a^2

sorry to be bothersome, but I'm kinda stuck on these 2, so if anyone can help out that would be awesome. 1. If p is real, and -2<p<2, show that the roots of the equation x^2 + px + 1 = 0 are non real complex numbers with a modulus of 1 2. Let H and K be the points representing the roots of...

hey guys, i just have a couple of questions to ask: 1. prove by mathemtical induction that [z^n] = [z]^n and arg(z^n) = n arg z 2. use the properties of modulus and argument of a complex number to deduce that the conjugate of the products of z1 and z2 = conjugate of z1 x the conjugate...

Find the values of u and v if: x^5 -9x^4+ux^3-18x^2+v+27 = 0 has a triple root at x=3

PQ is a chord of the parabola x^2 = 4ay such that the abscissa of P is twice that of Q. Show that the locus of the midpoint of PQ is the parabola 5x^2 = 18ay.