A triangle has two of its vertices at \[P(a,0),Q(0,b)\] and the third vertex \[R(x,\,\,y)\] is moving along the straight line \[y=x.\] If A be the area of the triangle. Then \[\frac{dA}{dx}\] is equal to

\[=-\left( \frac{a+b}{2} \right)\]

A triangle has two of its vertices at \[P(a,0),Q(0,b)\] and the third

1.	A triangle has two of its vertices at \[P(a,0),Q(0,b)\] and the third vertex \[R(x,\,\,y)\] is moving along the straight line \[y=x.\] If A be the area of the triangle. Then \[\frac{dA}{dx}\] is equal to
A.	\[\frac{a-b}{2}\]
B.	\[\frac{a-b}{4}\]
C.	\[=-\left( \frac{a+b}{2} \right)\]
D.	\[\frac{a+b}{4}\]
Answer» D. \[\frac{a+b}{4}\]

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A triangle has two of its vertices at \[P(a,0),Q(0,b)\] and the third vertex \[R(x,\,\,y)\] is moving along the straight line \[y=x.\] If A be the area of the triangle. Then \[\frac{dA}{dx}\] is equal to

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