The Slope of the chod joining point P`(ct_1;c/t_1)` and `Q(ct_2;c/t_2)`

What is focal Chord and If the chord joining P(a(t_(1))^(2);2at_(1)) and Q(at_(2)^(2);2at_(2)) is the focal chord ; then t_(1)t_(2)=-1

The slope of tangent at point (ct;(c)/(t)) is

The slope of line joining point P(-1,1) and Q (5,-7) is _ _ _ _ _ _ _ _

Point of intersection of normal at P(t1) and Q(t2)

Let a circle x^(2) + y^(2) + 2gx + 2fy + k = 0 cuts a rectangular hyperbola xy = c^(2) in (ct_(1), c/t_(1)) , (ct_(2), c/t_(2)) , (ct_(3), c/t_(3)) " and " (ct_(4), c/t_(4)) .

If the line joining the points (at_1^2,2at_1)(at_2^2, 2at_2) is parallel to y=x then t_1+t_2=

The x-coordinates of a point on t line joining the points Q(2,2,1) and R(5,1,-2) is 4 . Find its z-coordinate.

Locus of the middle points of the line segment joining P(0, sqrt(1-t^2) + t) and Q(2t, sqrt(1-t^2) - t) cuts an intercept of length a on the line x+y=1 , then a = (A) 1/sqrt(2) (B) sqrt(2) (C) 2 (D) none of these

The three distinct point A(t_(1)^(2),2t_(1)),B(t_(2)^(2),2t_(2)) and C(0,1) are collinear,if