Line `x/a+y/b=1` cuts the co-ordinate axes at A(a,0) and B(0,b) and the line `x/a'+y/b'=-1` at `A'(-a',0)` and `B'(0,-b')`. If the points A,B,A',B' are concyclic then the orthocentre of triangle ABA' is

If the line px - qy = r intersects the co-ordinate axes at (a,0) and (0, b), then the value of a + b is equal to

If the points (a, 0) (0, b) and (x, y) are collinear, then

The line x/a-y/b=0 has the slope 1, if:

The line x/a-y/b=0 has the slope 1,if:

Line AB passes through point (2,3) and intersects the positive x and y-axes at A(a,0) and B(0,b) respectively. If the area of DeltaAOB is 11. then the value of 4b^2+9a^2 is

If three points (h, 0),(a, b) and (0, k) lie on a line, show that a/h + b/k = 1 .

Statement 1 :If the lines 2x+3y+19=0 and 9x+6y-17=0 cut the x-axis at A ,B and the y-axis at C ,D , then the points, A , B , C , D are concyclic. Statement 2 : Since O A x O B=O C x O D , where O is the origin, A , B , C , D are concyclic.

If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,B ," and "C , then find the area of the triangle A B C

A B C is a variable triangle such that A is (1,2) and B and C lie on line y=x+lambda (where lambda is a variable). Then the locus of the orthocentre of triangle A B C is (a) (x-1)^2+y^2=4 (b) x+y=3 (c) 2x-y=0 (d) none of these

The line L_1-=4x+3y-12=0 intersects the x-and y-axies at A and B , respectively. A variable line perpendicular to L_1 intersects the x- and the y-axis at P and Q , respectively. Then the locus of the circumcenter of triangle A B Q is (a) 3x-4y+2=0 (b) 4x+3y+7=0 (c) 6x-8y+7=0 (d) none of these