Home
Class 10
MATHS
If m1 and m2 are the roots of the equati...

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`

Text Solution

Verified by Experts

`(c/m_1,c),(c/m_2,c)`
`b=|c/m_1-c/m_2|=c|1/m_11/m_2|=c|(m_1-m_2)/(m_1m_2)|`
`=(csqrt(m_1-m_2)^2)/|m_1m_2|`
`=c{(m_1+m_2)^2-m_1m_2}/|m_1m_2|`
`=(csqrt((sqrt3+2)^2-4(sqrt3-1))/(sqrt3-1))`
`=c*sqrt(3^2+2^2+4sqrt3-4sqrt3+4)/(sqrt3-1)`
`=c*sqrt11/(sqrt3-1)`
h=c
...
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

If m_1 and m_2 are roots of equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0 the the area of the triangle formed by lines y=m_1x, y = m_2x, y=c is:

If m_1 and m_2 are roots of equation x^2+(sqrt(3)+2)x+sqrt(3)-1=0 the the area of the triangle formed by lines y=m_1x, y = m_2x, y=c is:

If m_(1) and m_(2) are the roots of an equation x^(2)+(sqrt3+2)x+(sqrt3-1)=0 , then the area of the triangle formed by the lines y=m_(1)x,y=m_(2)x,y=c is

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

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),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),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