1. If x = root7/5 and 5/x =p root 7 then find the value of p
2. If the points A(2, 0), B(- 6, 0) and C(3, a- 3) lie on the x-axis, then find the value of a
3. If C is the mid-point of AB and D is the midpoint of AC. Prove that AD = ¼ AB.
4. Verify that: xy [(x+y) ( 1/x + 1/y) - 4 ] = (x-y)2
6. If x and y are two positive real numbers such that 8x3+27y3 = 730 and 2x2y + 3xy2 =15 then evaluate : 2x+ 3y
7. The polynomial p(x)= kx3 +9x2 + 4x - 8 when divided by (x+ 3) leaves a remainder 10(1- k). Find the value of k.
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