In a triangle XYZ , which of the following conditions is true

T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then

If 3+12=x+3y, then the x+y is 

If a2+b2+c2=83and a+b+c=15 then the value of ab+bc+ca is

The rate of simple interest for which a sum of money becomes 5 times in 8 years is

A man walks 1 km on 1st day , 2 km on 2nd day , 3 km on 3rd day and so on . The total distance the man covers in 10 days is

Due to a price hike of 20% , 4 kg less sugar is available for Rs. 120 . What is the initial price per kg of sugar ?

A shopkeeper offers 2.5% discount on cash purchases . What cash amount would Rohit pay for a cycle , the marked price of which is Rs.3600 ?