For the following questions answer them individually
If $$a^{2}+b^{2}+c^{2}+\frac{1}{a^{2}}+\frac{1}{b^{2}}+\frac{1}{c^{2}}=6$$, then what is the value of $$(a^{2}+b^{2}+c^{2})$$ ?
If $$x^{2}-9x-1=0$$, then what is the value of $$Â (x^{2}-\frac{1}{x^{2}}+5x-\frac{5}{x})$$ ?
A circle passing through points Q and R of triangle PQR, cuts the sides PQ and PR at points X and Y respectively. If PQ = PR, then what is the value (in degrees) of $$\angle$$PRQ + $$\angle$$QXY ?
A,B and C are the three points on a circle such that $$\angle$$ABC = $$35^{0}$$ and $$\angle$$BAC =Â $$85^{0}$$. What is the angle (in degrees) subtended by arc AB at the center of the circle?
In $$\triangle$$PQR, S and T are the mid points of sides PQ and PR respectively. If $$\angle$$QPR = $$45^{0}$$ and $$\angle$$PRQ = $$55^{0}$$, then what is the value (in degrees) of $$\angle$$QST ?
AB is a tangent to a circle with centre O. If the radius at the circle is 7 cm and the length of AB is 24 cm, the what is the length (in cm.) of OA ?
In the given figure, what is the value of $$\angle1+\angle2+\angle3+\angle4+\angle5+\angle6+\angle7+\angle8+\angle9+\angle10$$?