The sides of a triangle are the straight line x+y=1, 7y=x, and `sqrt(3)y +x = 0`. Then which of the following is an interior point of the triangle?

The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3)y+x=0 . Then which of the following is an interior point of the triangle? Circumcenter (b) Centroid Incenter (d) Orthocenter

The area of the triangle formed by the striaght lines y=0,x+y =0 and x-4 =0 is-

The circumcenter of the triangle formed by the line y=x ,y=2x , and y=3x+4 is

The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles right-angled triangle whose opposite vertex is (7,2,4)dot Then which of the following in not the side of the triangle? a. (x-7)/2=(y-2)/(-3)=(z-4)/6 b. (x-7)/3=(y-2)/6=(z-4)/2 c. (x-7)/3=(y-2)/5=(z-4)/(-1) d. none of these

The triangle formed by the line x+sqrt3y=0, x- sqrt3y=0 and x=4 is-

(i) Using definite integral find the area of the triangle bounded by the straight lines x =0,y=4x and 2x+ y =6 (ii) Using definite integral find the area of the triangle bounded by the straight lines x =0 ,y=x and 2y+x=6

Orthocentre of the triangle formed by the lines x+y=1, x=0 and y=0 is-

The triangle formed by the lines x+y =0,3x+y=4 and x+3y=4 is-

find the area of the triangle formed by the lines y=0, x+y=0 and x-4=0

The sides of a triangle ABC lie on the lines 3x + 4y = 0, 4x +3y =0 and x =3 . Let (h, k) be the centre of the circle inscribed in triangleABC . The value of (h+ k) equals