If m(1),m(2) be the roots of the equatio...

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

`sqrt(33)-sqrt(11)`

`sqrt(33)+sqrt(11)`

`sqrt(33)+sqrt(7)`

None of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

STRAIGHT LINES
VMC MODULES ENGLISH|Exercise Level -2|43 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise Level -2 Passage|5 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise Level - 0 (True or False)|7 Videos
SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos
THREE DIMENSIONAL GEOMETRY
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

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 the the area of the triangle formed by lines y=m_1x, y = m_2x, y=c is:

Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2 .

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

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|)

The area of triangle formed by the straight lies y=1 , 2x+y=2 and 2x-y+2=0 is ,

The area of the triangle whose sides y=m_1 x + c_1 , y = m_2 x + c_2 and x=0 is

The equation of the medians of a triangle formed by the lines x+y-6=0, x-3y-2=0 and 5x-3y+2=0 is

A triangle has two of its sides along the lines y=m_1x&y=m_2x where m_1, m_2 are the roots of the equation 3x^2+10 x+1=0 and H(6,2) be the orthocentre of the triangle. If the equation of the third side of the triangle is a x+b y+1=0 , then a=3 (b) b=1 (c) a=4 (d) b=-2

VMC MODULES ENGLISH-STRAIGHT LINES-Level -1

about to only mathematics
Text Solution
|
The area of the triangle formed by the lines y= ax, x+y-a=0, and y-axi...
Text Solution
|
If m(1),m(2) be the roots of the equation x^(2)+(sqrt(3)+2)x+sqrt(3)-1...
Text Solution
|
Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...
Text Solution
|
The incentre of the triangle whose vertices are (-36, 7), (20, 7) and ...
Text Solution
|
Show that the locus of the mid-point of the segment intercepted betwee...
Text Solution
|
The nearest point on the line 3x- 4y = 25 from the origin is
Text Solution
|
Points (1, 2) and (2, 1) are:
Text Solution
|
Two lines 2x - 3y = 1 and x + 2y + 3 = 0 divide the xy plane in four c...
Text Solution
|
If O be the origin and if P(x1, y1) and P2 (x2, y2) are two points, th...
Text Solution
|
Find the locus of the point of intersection of lines xcosalpha+ysin...
Text Solution
|
If the equation of the locus of a point equidistant from the points (a...
Text Solution
|
Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...
Text Solution
|
Show that the equation of a line passing through (acos^3theta,asin^3th...
Text Solution
|
Find the equation of the bisector of the angle between the lines x+ 2...
Text Solution
|
The vertices of a triangle are (A(-1,-7),B(5,1), and C(1,4)dot The equ...
Text Solution
|
The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) an...
Text Solution
|
If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...
Text Solution
|
The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...
Text Solution
|
If the lines x(sinalpha+sinbeta)-ysin(alpha-beta)=3 and x(cosalpha+c...
Text Solution
|