Calendar: 1898-1899 Page 780
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cxlviii ENTRANCE EXHIBITIONS Prove that an algebraical expression that can be resolved into factors admits of being put into the form of the difference of two squares Resolve into four factors BabcJ a2 b2 c2 d2 b2 c2 Obtain tests to ascertain whether the roots of d2 ax2 bx are real or imaginary and if real whether they are positive or negative Apply your tests to 2x2 3x ii 2x2 bx Find all the solutions of α υ ζ τ aye ζ The th term of an Arithmetic Progression is and the th term is if the yth term is twice the th prove that ρ χ 2y χ If 6י are in Geometric Progression prove that c-df a- bf If l-x C0 prove that ן 70 II EDngonometrji anil ftritymettt Warneford and Sambrooke Candidates omit the Trigonometry Prove that the sum of the six trigonometrical ratios of an acute angle cannot be less than Also that of the sine cosine and tangent of any angle either one only or all three are positive
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