[" The soutests distance betwen the poin "],[((3)/(2),0)" and the canve "y=sqrt(x)(x>0)" is "]

The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

The distance between the lines (x+7y)^(2)+4sqrt(2)(x+7y)-42=0

Find the distance between the parallel lines x+4sqrt(3)y+10=0 and x+4sqrt(3)y-18=0 .

Find the distance between the parallel lines x+4sqrt(3)y+10=0 and x+4sqrt(3)y-18=0 .

The equations of lines passing through the point (1,0) and at distance of (sqrt(3))/(2) units from the origin are (i) sqrt(3)x+y-sqrt(3)=0,sqrt(3)x-ysqrt(3)=0 (ii) sqrt(3)x+y+sqrt(3)=0,sqrt(3)x-y+sqrt(3)=0 (iii) x+sqrt(3)y-sqrt(3)=0,x-sqrt(3)y-sqrt(3)=0 (iv) none of these

The angle between the lines sqrt(3)x-y-2=0 and x-sqrt(3)y+1=0 is

If the distance between the lines 2x+y+k=0,6x+3y+2=0 is (7)/(3sqrt(5)) then the value of k is