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1) Find the length of the tangent from a point M which is at a distance of X cmfrom the centre O of the circle of radius y cm

2) If the common difference of an A.P. is 3, then find a20 – a15

3). A motor boat whose speed is 24 km/hr in still water takes 1 hr more to go 32km upstream than to return downstream to the same spot. Find the speed of the stream.(Cbse 2003,2005,2006,2009,2011,2015,2016)

4)The first and the last terms of an AP are 10 and 361 respectively. If its common difference is 9 then find the number of terms and their total sum?

5)For what value of k will k + 9, 2 k ‒ 1 and 2k + 7 are the consecutive terms of an A.P.?