Home
Class 11
MATHS
If three lines whose equations are y = m...

If three lines whose equations are `y = m_(1) x + c_(1) , y = m_(2) x + c_(2) " and " y = m_(3) x + c_(3) ` are concurrent, then show that `m_(1) (c_(2) - c_(3)) + m_(2) (c_(3) - c_(1)) + m_(3) (c_(1) - c_(2)) = 0 `.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the area of the triangle formed by the lines y = m_(1) x + c_(1) , y = m_(2) x + c_(2) " and " x = 0 " is " ((c_(1) - c_(2))^(2))/(2|m_(1) - m_(2)|)

If the ratio of the roots of a_(1)x^(2) + b_(1) x + c_(1) = 0 be equal to the ratio of the roots of a_(2) x^(2) + b_(2)x + c_(2) = 0 , then (a_(1))/(a_(2)) , (b_(1))/(b_(2)) , (c_(1))/(c_(2)) are in :

In the pair of linear equations a_(1)x +b_(1)y +c_(1)=0 and a_(2)x +b_(2)y +c_(2)=0 if (a_(1))/(a_(2)) ne (b_(1))/(b_(2)) then the

If equations ax^(2)-bx+c=0 (where a,b,c epsilonR and a!=0 ) and x^(2)+2x+3=0 have a common root, then show that a:b:c=1:2:3

(C_(0))/(1)-(C_(1))/(2)+(C_(2))/(3)+.. . .+((-1)^(n))/(n+1). C_(n) =

If one of the lines given by 6 x^(2)-x y+4 c y^(2)=0 is 3 x+4 y=0, then c=

In the pair of linear equations a_(1)x+b_(1)y+c_(1)=0" and "a_(2)y+b_(2)y+c_(2)=0" if "a_(1)/a_(2) ne b_(1)/b_(2) then the

The value of C_(1)+4C_(2)+7C_(3)+ . . .+(3n-2)C_(n) is

If the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurrent, then a , b , c are in

The order of the differential equation y=C_(1)e^(c_(2)+x)+C_(3)e^(c_(4)+x is