For the following questions answer them individually
If $$x = 2 + \sqrt{3}, y = 2 - \sqrt{3}$$, then the valuer of $$\frac{x^2 + y^2}{x^3 + y^3}$$ isÂ
If $$a^2+b^2+c^2=2(a-2b-c-3)$$ then the value of a+b+c is
If $$2x - \frac{1}{2x} = 6$$, then the value of $$x^2 + \frac{1}{16x^2}$$
$$5a + \frac{1}{3a}$$ = 5, the value of 9a2Â +Â $$\frac{1}{25a^2}$$Â isÂ
The area of the triangle formed by the line 5x + 7y = 35, 4x + 3y = 12 and x-axis is
If an obtuse-angled triangle ABC, is the obtuse angle and O is the orthocenter. If = 54$$^{\circ}$$ , then is
If the ratio of areas of two equilateral triangles is 9 : 16, then the ratio of their corresponding sides is
Let BE and CF be the two medians of a $$\triangle$$ ABC and G be their intersection. Also let EF cut AG at O. Then AO : OG is
If S is the circumcentre of and = 50$$^{\circ}$$ , then the value of is
AC and BC are two equal cords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then
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