If (x 3/2 - x.y 1/2 + x 1/2 .y-y 3/2 ) is divided by (x 1/2 -y 1/2 ) , the quotient is:

- If a +`1/b` = 1 and b +`1/c` =1 , then the value of c +`1/a` is
- if a
^{2}+ b^{2}+ c^{2}= 2(3a -5b -6c)-70 , then a-b-c = ? - If x – 1/x = 9, then x
^{3}– 1/x^{3}is: - What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
- If x, y and z are real numbers such that (x-3)
^{2}+(y-6)^{2}+(z-8)^{2}= 0 then (x+y+z) is equal to - A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?
- If y + 1/y = 2 then find y
^{117}+ 1/(y^{117}) - If (x + y) = 6 and (x
^{2}+ y^{2}) = 20, then the value of (x – y)^{2}is equal to: - √4096 + √(?) + 13 – 29 = 148

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