Home
Class 12
MATHS
If |(2a,x(1),y(1)),(2b,x(2),y(2)),(2c,x(...

If `|(2a,x_(1),y_(1)),(2b,x_(2),y_(2)),(2c,x_(3),y_(3))| = (abc)/2 != 0 ` , then the area of the triangle whose vertices are `((x_(1))/a,(y_(1))/a),((x_(2))/b,(y_(2))/b)and ((x_(3))/c,(y_(3))/c)`

A

`1/4 abc`

B

`1/8abc`

C

`1/4`

D

`1/8`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|5 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the centroid fof the triangle whose vertices are (x_(1),y_(1),z_(1)),(x_(2),y_(2),z_(2)) and (x_(3),y_(3),z_(3))

If (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) are the vertices of a triangle whose area is 'k' square units, then |(x_(1),y_(1),4),(x_(2),y_(2),4),(x_(3),y_(3),4)|^(2) is

Let (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) be three points on the parabola y^(2)=4ax if the normals meet in a point then

If the tangents at (x_(1),y_(1)) and (x_(2),y_(2)) to the parabola y^(2)=4ax meet at (x_(3),y_(3)) then

If x_(1), x_(2), x_(3) as well as y_(1), y_(2), y_(3) are in G.P. with the same common ratio, then the points (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) :

[[x_(1),y_(1),1],[x_(2),y_(2),1],[x_(3),y_(3),1]] = 0 is the condition that the points (x_(i), y_(j)), i=1,2,3

The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the triangle ABC is

If x_(1) , x_(2) , x_(3) as well as y_(1), y _(2) , y_(3) are in G.P. with the same common ration, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and (x_(3) , y _(3))

If x_(1), x_(2), x_(3) as well as y_(1) , y _(2) , y _(3) are in G.P. with the same common ratio, then the points ( x_(1) , y _(1)) , ( x_(2) , y _(2)) and ( x_(3), y _(3)) :

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