If the tangent to the curve y = 1 – x^(2...

If the tangent to the curve `y = 1 – x^(2) at x = alpha`, where` 0 lt alpha lt 1,` meets the axes at P and Q. Also `alpha` varies, the minimum value of the area of the triangle OPQ is k times area bounded by the axes and the part of the curve for which `0 lt x lt 1`, then k is equal to

Similar Questions

Explore conceptually related problems

If -1 lt x lt 0 , then cos^(-1) x is equal to

If -1 lt x lt 0 then sin^(-1) x equals-

If -1lt x lt 0 then tan^(-1) x equals

What is the minimum value of [x(x-1)+]^(1/3) where 0 lt x lt 1 ?

If z=1+i tan alpha where pi lt alpha lt(3pi)/(2), then what is |z| equal to ?

A line is drawn through the point (1,2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ ,where 0 is the origin.If the area of the triangle OPQ is least,the slope of the line PQ is k ,then |k| =

Find the area bounded by y=max{0,lnx} and y lt2^x where 1/2 ltx lt1

If the tangent drawn to the curve y=x^(3)+3x^(2)+2x+2" at "(0,2) also touches the curve y=kx^(2) at (alpha,beta), then absolute value of (alpha+(beta)/(k)) equal to

If the tangent to the curve `y = 1 – x^(2) at x = alpha`, where` 0 lt alpha lt 1,` meets the axes at P and Q. Also `alpha` varies, the minimum value of the area of the triangle OPQ is k times area bounded by the axes and the part of the curve for which `0 lt x lt 1`, then k is equal to

Similar Questions

Recommended Questions