[" 20.If "P(1+t/sqrt(2),2+t/sqrt(2))" be any point on a line "],[" then the range of values of tor which the point "],[[" P lies between the parallel lines "],[x+2y=1" and "2x+4y=15" is "]]

lf P(1+ 1/sqrt2 , 2+ 1/sqrt2) be any point on a line, then the range of values of t for which the point P lies between the parallel lines x+ 2y= 1 and 2x+ 4y=15 is:

If P(1+alpha/sqrt2 ,2+ alpha/sqrt2) be any point on a line, then the range of values of alpha for which the point P lies between the parallel lines x+2y=1 and 2x+4y= 15 is

If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of the values of t for which the point P lie between the parallel line x+2y=1 and 2x+4y=15 is

If P(1+t/(sqrt(2)),2+t/sqrt(2)) is any point on a line, then the range of the values of t for which the point P lies between the parallel lines x+2y=1a n d2x+4y=15. is (a) (4sqrt(2))/3lttlt5(sqrt(2)) 6 (b) 0lttlt(5sqrt(2)) (c) 4sqrt(2)lttlt0 (d) none of these

If P(1+t/(sqrt(2)),2+t/sqrt(2)) is any point on a line, then the range of the values of t for which the point P lies between the parallel lines x+2y=1a n d2x+4y=15. is (a) (4sqrt(2))/3lttlt5(sqrt(2)) 6 (b) 0lttlt(5sqrt(2)) (c) 4sqrt(2)lttlt0 (d) none of these

If P(1+t/(sqrt(2)),2+t/sqrt(2)) is any point on a line, then the range of the values of t for which the point P lies between the parallel lines x+2y=1a n d2x+4y=15. is (a) (4sqrt(2))/3lttlt5(sqrt(2)) 6 (b) 0lttlt(5sqrt(2)) (c) 4sqrt(2)lttlt0 (d) none of these

If P(1+^t//_sqrt2,2+^t//_sqrt2) be any point on a ine then range of values of t for whic the point P lies between the parallel line x+2y=1 and 2x+4y=15 and intergral value of t is

If the point (a,a) lies between the lines |x+y|=2 , then show that |a|lt1 .

For the variable t , the locus of the points of intersection of lines x - 2y = t and x + 2y = (1)/(t) is _

If the point P(a^2,a) lies in the region corresponding to the acute angle between the line 2y=x and 4y=x, then