Square of the distance between the integral points of intersection of `L_1 : 2x+y=50 a n dL_2`:y=mx+1 for the greatest and the least integral values of `m` is a. `5` b. `20` c. `25` d. `30""`

The greatest integral value of m for which the point of intersection of L_1 : 2x+y=50 a n d L_2 : y=mx+1 has integral coordinate, is a. 5 b. 9 c. 47 d. 51""

The distance between the lines y=mx+c_1 and y=mx+c_2 is

If the straight lines joining the origin and the points of intersection of y=mx+1 and x^2+y^2=1 are perpendicular to each other, then find the value of m .

The distance between the lines y=mx+c_(1) and y=mx+c_(2) is

If the point P((3a)/(2),1) lies between the two different lines x+y=a and x+y=2a , then the least integral value of |a| is equal to

If the point (k+1,k) lies inside the region bound by the curve x=sqrt(25-y^2) and the y-axis, then the integral value of k is/are

Find the equations of the lines through the point of intersection of the lines x-y+1=0a n d2x-3y+5=0 whose distance from the point (3,2) is 7/5.

The lines joining the origin to the point of intersection of The lines joining the origin to the point of intersection of 3x^2+m x y=4x+1=0 and 2x+y-1=0 are at right angles. Then which of the following is not a possible value of m ? -4 (b) 4 (c) 7 (d) 3

If x^n-1 is divisible by x-k then the least positive integral value of k is(a) 1 (b) 2 (c) 3 (d) 4

If x^n-1 is divisible by x-lambda, then the least prositive integral value of lambda is 1 b. 3 c. 4 d. 2