Show that the area of the triangle formed by the lines `y=m_1x+c_1,y=m_2x+c_2`and `x=0`is `((c_1-c_2)^2)/(2|m_1-m_2|)`

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

The area of the triangle formed by the lines y=m_(1x)+c_(1),y=m_(2),x+c_(2) and x=0 is (1)/(2)((c_(1)+c_(2))^(2))/(|m_(1)-m_(2)|) b.(1)/(2)((c_(1)-c_(2))^(2))/(|m_(1)+m_(2)|) c.(1)/(2)((c_(1)-c_(2))^(2))/(|m_(1)-m_(2)|) d.((c_(1)-c_(2))^(2))/(|m_(1)-m_(2)|)

Show that the area of the triangle formed buy the lines y=m_(1)x,y=m_(2)x and y=c is equlto (c^(2))/(4)(sqrt(33)+sqrt(11)) where m_(1),m_(2) are the roots of the equation xy^(2)=(sqrt(3)+2)x+sqrt(3)-1=0

If m_(1),m_(2) be the roots of the equation x^(2)+(sqrt(3)+2)x+sqrt(3)-1 =0 , then the area of the triangle formed by the lines y = m_(1)x,y = m_(2)x and y = 2 is

If m_1 and m_2 are the roots of the equation x^2-a x-a-1=0 , then the area of the triangle formed by the three straight lines y=m_1x ,y=m_2x , and y=a(a!=-1) is (a^2(a+2))/(2(a+1))ifa >-1 (-a^2(a+2))/(2(a+1))ifa >-1 (-a^2(a+2))/(2(a+1))if-2

If m_(1) and m_(2) are the roots of the equation x^(2)-ax-a-1=0 then the area of the triangle formed by the three straight lines y=m_(1)xy=m_(2)x and y=a is

If m_1 and m_2 are the roots of the equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0, then the area of the Delta formed by lines y=m_1x, y=m_2x, y=c is: a.((sqrt(33)+sqrt(11))/4)c^2 b.((sqrt(32)+sqrt(11))/16)c c.((sqrt(33)+sqrt(10))/4)c^2 d.((sqrt(33)+sqrt(21))/4)c^3

If m_1 and m_2 are the roots of the equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0, then the area of the Delta formed by lines y=m_1x, y=m_2x, y=c is: a.((sqrt(33)+sqrt(11))/4)c^2 b.((sqrt(32)+sqrt(11))/16)c c.((sqrt(33)+sqrt(10))/4)c^2 d.((sqrt(33)+sqrt(21))/4)c^3