For the following questions answer them individually
A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its
If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be
The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)
If $$\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$$ then find the value of $$\frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$$
Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is
If $$\frac{\sin\theta+\cos\theta}{\sin\theta-\cos\theta}=3$$ then the value of $$\sin^4\theta-\cos^4\theta$$ isÂ
A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is
