For the following questions answer them individually
In $$\triangle$$ PQR, the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is
If $$x = k^{3} - 3k^{2}$$ and $$y= 1 - 3k,$$ then for what value of $$k$$. will be $$x= y$$?
The marked price of an article is 500. A shopkeeper gives a discount of 5% and still makes a profit of 25%. The cost price of the article is.
A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B left. The days taken by A to finish the remaining work is
The simplest value of cot 9° cot 27° cot 63° cot 81° is
$$55^{3} + 17^{3} - 72^{3}$$ + 201960 is equal to
If 2 sin θ cos θ = 1, then the value of tan θ + cot θ is
A solid sphere and a hemisphere have the same radius. Then the ratio of their respective total surface areas is
Find the value of $$\sqrt{(x^2+y^2+2)(x+y-32)}\div \sqrt{xy^3 2^2}$$ when $$x=+1,y=-3$$
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