Number of lines that can be drawn through the point `(4,-5)` so that its distance from `(-2,3)` will be equal to 12 is equal to

In what direction should a line be drawn through the point (1,2) so that its point of intersection with the line x+y = 4 is at a distance ( sqrt(6) )/( 3) from the given point ?

Find the slope of the line through the points (4,-6)(-2,-5)

Find distance of the point (3, 4, 5) from Y-axis.

Find the direction in which a straight line must be drawn through the point (-1,2) . So that its point of intersection with the line x+y=4 may be at a distance of 3 units from this point.

Statement 1: A plane passes through the point A(2,1,-3)dot If distance of this plane from origin is maximum, then its equation is 2x+y-3z=14. Statement 2: If the plane passing through the point A( vec a) is at maximum distance from origin, then normal to the plane is vector vec adot

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x - 12y =3 . The equation of its locus is ......... .

The equations of the lines passing through the point (1,0) and at a distance ( sqrt3)/( 2) from the origin, are

Find the equation of the set of the points P such that its distance from the points A(3, 4, -5) and B(-2, 1, 4) are equal.

Find the slope of the lines : Passing through the points (3, -2) " and " (-1, 4)

Find the distance of the point (3, -5) from the line 3x - 4y - 26 = 0.