`-3/10-1/10= (....)/10=( ....)/5`

The coordinates of the foot of the perpendicular from the point (2,3) on the line -y+3x+4=0 are given by ((37)/(10),-1/(10)) (b) (-1/(10),(37)/(10)) ((10)/(37),-10) (d) (2/3,-1/3)

The coordinates of the foot of the perpendicular from the point (2,3) on the line -y+3x+4=0 are given by (a) ((37)/(10),-1/(10)) (b) (-1/(10),(37)/(10)) (c) ((10)/(37),-10) (d) (2/3,-1/3)

Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)

The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

The value of sin^(-1)(cos(33pi)/5) is (a) (3pi)/5 (b) -pi/(10) (c) pi/(10) (d) (7pi)/5

1/4+2/4 3/10+2/10+1/10

1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6) + …… oo =

Show that (3.5)/(5.10) + (3.5.7)/(5.10.15) + (3.5.7.9)/(5.10.15.20)+ …..oo = (5sqrt5)/(3 sqrt3) - 8/5

1-(1)/(5)+(1.4)/(5.10) - (1.5.7)/(5.10.15)+…..=

If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.