Home
Class 12
MATHS
If the quadrilateral formed by the lines...

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` has perpendicular diagonals, then (a) `b^2+c^2=b^('2)+c^('2)` (b)`c^2+a^2=c^('2)+a^('2)` (c)`a^2+b^2=a^('2)+b^('2)` (d) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 has perpendicular diagonals, then b^2+c^2=b^('2)+c^('2) c^2+a^2=c^('2)+a^('2) a^2+b^2=a^('2)+b^('2) (d) none of these

If the quadrilateral formed by the lines ax+by+c=0,a'x+b'y+c=0,ax+by+c'=0,a'x+b'y+c'=0 has perpendicular diagonals,then (a)b^(2)+c^(2)=b^(prime2)+c^(2)(b)c^(2)+a^(2)=c^(2)+a^(prime2)(c)a^(2)+b^(2)=a^(2)=a^(2)+b^(2)(d) none of these

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

Prove that the line x=a y+b ,\ z=c y+d\ a n d\ x=a^(prime)y+b^(prime),\ z=c^(prime)y+d^(prime) are perpendicular if aa^(prime) + c c^(prime) + 1=0

Fid 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.

Fid 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.

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.

Fid 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.

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.