exam Maths Puzzle Numerical Ability

IF Y VARIES INVERSELY WITH X, AND IF Y=7 WHEN X=5, FIND Y WHEN X IS 7

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exam Other Question

If a+b = c prove by direct substitution that
a^4 + b ^4+ c^4-2b^2c^2-2c^2a^2-2a^2b^2 = 0 Using coordinate geometry, prove the the diagonals of a rhombus are perpendicular.