For the following questions answer them individually
If $$a^{2}+b^{2}=80$$ and $$ab=32$$, then calculate the value of $$\frac{a-b}{a+b}$$
What is the value of $$(-7776)^{\frac{2}{5}}$$
What is the value of $$x^{3}-\frac{1}{x^{3}}+8$$ when $$8x-\frac{8}{x}-16=0$$ ?
The triangle in which the orthocenter, circumcentre, Incenter and the centroid coincide each other at a point is known as _____________.
If the radius of a circle is decreased to 25% of its original value, calculate the percentage decrease in the area of the circle.
On decreasing the price of a fan by 40%, its sales increases by 50%. What will be the percentage increase or decrease in its revenue?
A sum of Rs 2489 is divided among A, B and C such that if Rs 12, Rs 12 and Rs 5 be diminish from the shares of A, B and C respectively, then their shares will be in the ratio of 5: 3: 4. What is the new share (in Rs) of C?
The milk and water in two vessels are in the ratio of 3: 1 and 7: 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture containing half milk and half water?
Average of 14 numbers is 32. If the average of last 5 numbers is 26, then what is the average of the remaining numbers?
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