`A(x_1,y_1), B(x_2,y_2),C(x_3,y_3)` are three vertices of a triangle ABC, `lx+my+n=0` is an equation of line L. If L intersects the sides BC,CA and AB of a triangle ABC at P,Q,R respectively, then `(BP)/(PC)xx(CQ)/(QA)xx(AR)/(RB)` is equal to

A line L intersects three sides BC, CA and AB of a triangle in P,Q,R respectively, show that (BP)/(PC).(CQ)/(QA).(AR)/(RB)=-1

A line L intersects three sides BC, CA and AB of a triangle in P,Q,R respectively, show that (BP)/(PC).(CQ)/(QA).(AR)/(RB)=-1

A line L intersects three sides BC, CA and AB of a triangle in P,Q,R respectively, show that (BP)/(PC).(CQ)/(QA).(AR)/(RB)=-1

A(x_1,y_1),B(x_2,y_2),C(x_3,y_3) are the vertices of a triangle ABC. lx+my+n=0 is an equation of the line L. Answer the following questions based on above passage : If L intersects the sides BC, CA and AB of the triangle ABC at P, Q, R respectively then (BP)/(PC)xx(CQ)/(QA)xx(AR)/(RB) is equal to

P,Q,R are the points of intersection of a line t with sides BC,CA,AB of a Delta ABC respectively,then (BP)/(PC)*(CO)/(QA)*(AR)/(RB)=

A(x_1, y_1), B(x_2,y_2), C(x_3,y_3) are three vertices of a triangle ABC. lx+my+n=0 is an equation of the line L. If the centroid of the triangle ABC is at the origin and algebraic sum of the lengths of the perpendicular from O the vertices of triangle ABC on the line L is equal to, then sum of the squares of reciprocals of the intercepts made by L on the coordinate axes is equal to

A(x_1, y_1), B(x_2,y_2), C(x_3,y_3) are three vertices of a triangle ABC. lx+my+n=0 is an equation of the line L. If the centroid of the triangle ABC is at the origin and algebraic sum of the lengths of the perpendicular from O the vertices of triangle ABC on the line L is equal to, then sum of the squares of reciprocals of the intercepts made by L on the coordinate axes is equal to

A(x_1, y_1), B(x_2,y_2), C(x_3,y_3) are three vertices of a triangle ABC. lx+my+n=0 is an equation of the line L. If the centroid of the triangle ABC is at the origin and algebraic sum of the lengths of the perpendicular from O the vertices of triangle ABC on the line L is equal to, then sum of the squares of reciprocals of the intercepts made by L on the coordinate axes is equal to

A(x_(1),y_(1)), B(x_(2),y_(2)), C(x_(3),y_(3)) are three vertices of a triangle ABC. lx +my +n = 0 is an equation of the line L. If P divides BC in the ratio 2:1 and Q divides CA in the ratio 1:3 then R divides AB in the ratio (P,Q,R are the points as in problem 1)