- If (7a+8b) (7c-8d) = (7a-8b) (7c+8d); then prove that a:b = c:d
- p,q,r,s in proportion then prove that
(p-r)q²/(q-s)rs=(p²-q²-pq)/(r²-s²-rd)
- ch circles
- If the area of an equilateral triangle is 163–√3 cm2, then find the perimeter(cm) of the triangle.
- a, b, c are in continued proportion , prove that a\c = 2a2−5ab+7b2\2b2−5bc+ 7c2
- If a2 + c2, ab + cd and b2 + d2 are in continued proportion ,prove that a, b, c and d are in proportion.
- if a,b,c are in continued proportion , prove that a^2*b^2*c^2 ( a^-3 + b^-3 + c^-3) = (a^3 + b^3 + c^3)
- If a b c are continued proportional fund 1/b^2 = 1/b^2-a^2 + 1/b^2 - c^2
- If a, b,c,d are in continued proportion prove that (a-b)^3 / (b-c)^3= a/d
- (6a+7b)(3c_4d)=(6c+7d)(3a_4b)
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