Let image of point A(3,1) about line x+y+7=0 be B`(alpha,beta)` about line x-2y+4=0 be C`(gamma,delta)` ,then circumradius of `Delta ABC` is (R) ,value of `R^(2)`

The point Q is the image of the P in line x+y+4=0 and R is the image of Q in line 2x-y+7=0. If P=(1,6), then the circumcentre of triangle PQR is

Let alpha , beta , gamma , delta be real numbers such that alpha^(2) +beta^(2) +gamma^(2) != 0 and alpha +gamma = 1 . Supose the point (3,2,-1) is the mirror image of the point (1,0,-1) with respect to the planet alphax + beta y + gammaz = delta . Then which of the following statements is/are TRUE ?

Let A(0,-1,1),B(0,0,1),C(1,0,1) are the vertices of a Delta ABC. If R and r denotes the circumradius and inradius of Delta ABC, then (r)/(R) has value equal to

the image of the point A(2,3) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta), find alpha and beta

The image of the point A(1,2) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (alpha,beta), then a.alpha=1,beta=-2b. alpha=,beta=0calpha=,beta=-1d. none of these

Let (2,-1) be the point P and x- y + 1 =0 be the straight line l. If Q is image of point P about line, that image of point Q about y-axis is

ABC is a variable triangle such that A is (1, 2),and B and C on the line y=x+lambda(lambda is a variable).Then the locus of the orthocentre of Delta ABC is x+y=0 (b) x-y=0x^(2)+y^(2)=4( d )x+y=3

Let A(-2,-1),B(1,0),C(alpha,beta) and D(gamma,delta) be the vertices of a parallelogram ABCD .If the point C lies on 2x-y=5 and the point D lies on 3x-2y=6 ,then the value of |alpha+beta+gamma+delta| is equal to:

Let the points of intersections of the lines x -y +1 = 0, x -2y + 3 = 0 and 2x -5y + 11 = 0 are the mid points of the sides of a triangle ABC. Then the area of the triangle ABC is _______ .