`T h ev a l u eofint_(-2)^2|1-x^2|dxi s_______`

Let C be a curve passing through M(2,2) such that the slope of the tangent at anypoint to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and lin x=2i s A ,t h e nt h e v a l u e of (3A)/2i s__

I fx+1/x=2,t h e p r i n c i p a l v a l u e o f sin^(-1)x is

A line l passing through the origin is perpendicular to the lines l_(1):(3+t)hat i+(-1+2t)hat j+(4+2t)hat k,oo

Statement 1: If f(x)={x ,\ if\ x\ i s\ irr a t ion a l1-x ,\ if\ x\ i s\ r a t ion a l\ ,\ t h e n(lim)_(x->1//2)f(x) does not exist. Statement 2: x->1/2 can be rational or irrational value. Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true; Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true

Let e and l are the eccentricity and length of the lactus rectum respectively of the conic described parametrically by x=t^(2)-t+1, y=t^(2)-t+1 , then the value of (e )/(l^(2)) is equal to

A particle moves along the X-axis as x=u(t-2s)=at(t-2)^2 .

A particle is executing S.H.M. If u_(1) and u_(2) are the velocitiesof the particle at distances x_(1) and x_(2) from the mean position respectively, then