Find the locus of the third vertex of a ...

Find the locus of the third vertex of a right angled triangle , the ends of whose hypotenuse are (4,0) and (0,4)

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The maximum area of a right angled triangle with hypotenuse h is

`h^(2)//2 sqrt(2)`

`h^(2)//2`

`h^(2)//sqrt(2)`

`h^(2)//4`

If a right angled triangle is revolved about its hypotenuse then it will form a ………..

double cone

triple cone

only cone

none

The legs of a right triangle are a and b the linc segment of length d connecting the vertex of the right angle to a point P of the hypotenuse enclose an angle delta with the leg a. The quantities a, b, d and delta are correctly related as

`1/(2d) = (cos delta)/a + (sin delta)/b`

`2/d= (cos delta)/a + (sin delta)/b`

`1/d = (cos delta)/a + (sin delta)/b`

`2/d = (cos delta)/b + (sin delta)/a`