For the following questions answer them individually
If x = 1 + $$\surd{2}$$+ $$\surd{3}$$, then the value of 2x^{4}- 8x^{3}- 5x^{2} + 26x - 28 is
In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is
- PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and $$\angle RST$$ = $$65^\circ$$, the $$\angle PTS $$ =
In ΔABC, AC = BC and ∠ABC = $$50^\circ$$, the side BC is produced to D so that BC = CD then the value of ∠BAD is
In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is
ABC is a triangle, PQ is line segment intersecting AB in P and AC in Q and PQ II BC. The ratio of AP : BP = 3 : 5 and length of PQ is 18 cm. The length of BC is
