If r is the geometric mean of p and q, then the line px + qy + r = 0

Statement-l: If the diagonals of the quadrilateral formed by the lines px+ qy+ r= 0, p'x +q'y +r'= 0 , are at right angles, then p^2 +q^2= p' ^2+q' ^2 . Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other. Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

Statement-l: If the diagonals of the quadrilateral formed by the lines px+ gy+ r= 0, p'x +gy +r'= 0, p'x +q'y +r'= 0 , are at right angles, then p^2 +q^2= p^2+q^2 . Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other.

Statement-l: If the diagonals of the quadrilateral formed by the lines px+ gy+ r= 0, p'x +gy +r'= 0, p'x +q'y +r'= 0 , are at right angles, then p^2 +q^2= p'^2+q'^2 . Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other.

If the point of intersection of the lines 2px+3qy+r=0 and px-2qy-2r=0 lies strictly in the fourth quadrant and is equidistant from the two axes, then

The variable coefficients p,q,r in the equation of the staight line px+qy+r=0 are connected by the relation pa+qb+rc=0 where a,b,c are fixed constants . Show that the variable line always passes through a fixed point.

Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is the line qx+py+(p+q-r)=0, where p!= -q .

Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is the line qx+py+(p+q-r)=0, where p!= -q .

If p,q,r are + ve and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are all real for

If the line px - qy = r intersects the co-ordinate axes at (a,0) and (0, b), then the value of a + b is equal to