Show that the point (x, y) given by x=2at1+t2 and y=a(1−t2)1+t2 lies

1.	Show that the point (x, y) given by x=2at1+t2 and y=a(1−t2)1+t2 lies on a circle for all real values of that such that −1≤t≤1, where a is any given real numbers. Or Find the equations of the altitudes of the triangle whose vertices are A (7, - 1), B(- 2, 8) and C (1, 2).
Answer» Show that the point (x, y) given by $x = \frac{2 a t}{1 + t^{2}}$ and $y = \frac{a (1 - t^{2})}{1 + t^{2}}$ lies on a circle for all real values of that such that $- 1 \leq t \leq 1$ , where a is any given real numbers. Or Find the equations of the altitudes of the triangle whose vertices are A (7, - 1), B(- 2, 8) and C (1, 2).

Show that the point (x, y) given by x=2at1+t2 and y=a(1−t2)1+t2 lies on a circle for all real values of that such that −1≤t≤1, where a is any given real numbers. Or Find the equations of the altitudes of the triangle whose vertices are A (7, - 1), B(- 2, 8) and C (1, 2).

Answer»

Show that the point (x, y) given by $x = \frac{2 a t}{1 + t^{2}}$ and $y = \frac{a (1 - t^{2})}{1 + t^{2}}$ lies on a circle for all real values of that such that $- 1 \leq t \leq 1$ , where a is any given real numbers.

Find the equations of the altitudes of the triangle whose vertices are A (7, - 1), B(- 2, 8) and C (1, 2).

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Show that the point (x, y) given by x=2at1+t2 and y=a(1−t2)1+t2 lies on a circle for all real values of that such that −1≤t≤1, where a is any given real numbers. Or Find the equations of the altitudes of the triangle whose vertices are A (7, - 1), B(- 2, 8) and C (1, 2).

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