1a)R.deinesafuncianfrmAibl oAdefinesaintinfrom Aint

How many meaningful words can be made from the letters AINTS using each letter only once? 1) None 2) One 3) Two 4) Three 5) More than three

If r_(1),r_(3),r_(1) are the radii of the escribed circles of a DeltaABC and if r is the radius of its incircle then r_(1)r_(2)r_(3)-r(r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1))=

(i)If int_0^asqrtxdx=2aint_0^(pi/2)sin^3xdx ,find the value of a. (ii)Hence find int_a^(a+1)xdx

If int_0^asqrt(x)dx=2aint_0^(pi//2)sin^3xdx find the value of integral int_a^(a+1)xdxdot

The circles having radii r_1a n dr_2 intersect orthogonally. The length of their common chord is (2r_1r_2)/(sqrt(r1^2+r2^2)) (b) (sqrt(r1^2+r2^2))/(2r_1r_2) (r_1r_2)/(sqrt(r1^2+r1^2)) (d) (sqrt(r1^2+r1^2))/(r_1r_2)

The combined resistance of two resistors R_(1) and R_(1)" is given by "1/R=1/R_(1)+1/R_(2)," where "R_(1)+R_(2) = C (constant ), show that R is maximum when R_(1)= R_(2) .

Three resistance R_1 , R_2 and R_3 are connected on parallel. Show that their equivalent resistance is 1/R=1/R_1+1/R_2+1/R_3