For `a> b>c>0`, if the distance between `(1,1)` and the point of intersection of the line `ax+by-c=0` is less than `2sqrt2` then,

The shortest distance from (1,1,1) to the line of intersection of the pair of planes xy+yz+zx+y^(2)=0 is

Find the distance between A(2,3) on the line of gradient 3/4 and the point of intersection P of this line with 5x+7y+40=0.

Find the distance of the point (2, 3, -2) from the point of intersection of the straight line passing through the points A(3, 0, 1) and B(6, 4, 3) with the plane x+y-z=7 .

Let a,b, c and d be non-zero numbers. If the point of intersection of the lines 4ax + 2ay+c=0 and 5bx+2by +d=0 lies in the fourth quadrant and is equidistant from the two axes, then

Let the curve C be the mirror image of the parabola y^2 = 4x with respect to the line x+y+4=0 . If A and B are the points of intersection of C with the line y=-5 , then the distance between A and B is

If the difference between the roots of the equation x^(2)+ax+1=0 is less then sqrt(5) , then the set of possible values of a is

Find the equation of straight line joining the points of intersection of the lines 3x+2y+1=0 and x+y=3 to the intersection of the lines y-x=1 and 2x+y+2=0

A straight line passes through the point of Intersection of the lines x- 2y - 2 = 0 and 2x - by - 6= 0 and the origin, then the set of values of 'b' for which the acute angle between this line and y=0 is less than 45^@ is

The angle between the lines joining origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^2-x^2=4 is (A) tan^(-1)(2/(sqrt(3))) (B) pi/6 (C) tan^(-1)((sqrt(3))/2) (D) pi/2

Find the acute angle between the curves y=x^(2) and x=y^(2) at their points of intersection (0,0), (1,1) .