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the lines xy=...

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the lines xy=o and x+y =17 form a triangle in a xy plane . the total number of points having coordinates which are prime numbers and lie inside the triangle is

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(ˆ i + ˆ j + ˆ k)

3 ˆ i

form two sides of a triangle and the magnitude of area of triangle is

\frac{x}{\sqrt{y}}

, then x+y is
(x and y are prime numbers).

(ˆ i + ˆ j + ˆ k)

3 ˆ i

form two sides of a triangle and the magnitude of area of triangle is

\frac{x}{\sqrt{y}}

, then x+y is
(x and y are prime numbers).

Q. Number of integral coordinates strictly lying inside the triangle formed by the line

x + y = 21

with coordinate axes are

Q. Number of integral coordinates strictly lying inside the triangle formed by the line

x + y = 21

with coordinate axes are

Write the coordinates of the orthocentre of the triangle formed by the lines xy=0 and x+y=1.

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