Home
Class 11
MATHS
Show that the area of the triangle forme...

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)|)`

Text Solution

Verified by Experts

The correct Answer is:
`((c_(2) - c_(1))^(2))/(2|m_(1) - m_(2)|)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y=1 is

Area of the triangle formed by the lines 3 x^(2)-4 x y+y^(2)=0, quad 2 x-y=6 is

Orthocentre of the triangle formed by the lines x+y+1=0 and 2x^(2)+y^(2)+x+2y-1=0 is

Orthocentre of the triangle formed by the lines x+y+1=0 and 2 x^(2)-x y-y^(2)+x+2 y-1=0 is

The area of the region bounded by the lines y = mx, x = 1, x = 2 , and x axis is 6 sq, units, then 'm' is

The coordinates of the orthocentre of the triangle formed by the lines 2 x^(2)-3 x y+y^(2)=0 and x+y=1 , are

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 .

The area of the region bounded by the lines y=mx, x =1, x=2 , and x axis is 6sq. units then 'm' is

The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)-m^(2) y^(2)-n(l x+m y)=0 and l^(2) x^(2)-m^(2) y^(2)-n(L x-m y)=0 is