Find the condition if lines `x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime), z=c^(prime)y+d '` are perpendicular.

The two lines a x+b y=c and a^(prime) x+b^(prime) y=c^(') are perpendicular if

The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d' are perpendicular to each other if :

If the quadrilateral formed by the lines a x+b y+c=0, a^(prime) x+b^(prime) y+c=0 a x+b y+c^(prime)=0, a^(prime) x+b^(prime) y+c^(prime)=0 have perpendicular diagonals, then

The two lines : x+ay+b, z=cy+d, and x=a'y+b' , z=c'y+d' will be perpendicular if and only if:

Find the product of (5x - y +z) (5x - y +z)

The lines a x+b y=c, b x+c y=a and c x+a y=b are concurrent, if

The angle between the lines 2x = 3y = - z and 6x =-y = 04z is

In the adjacent figure, find the value of x, y, z and a, b, c.

If P is any point on the hyperbola x^(2)-y^(2)=a^(2) then S P . S^(prime) P=, where S, S^(prime) and C are respectively foci and the centre of the hyperbola

Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 which is (b) perpendicular to the line 5y - 15x = 13 .