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

The Slope of the chod joining point P(ct_(1);(c)/(t_(1))) and Q(ct_(-)2;clt2)

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

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

The equation of the line passing through the points (ct_(1),a/(t_(1))),(ct_(2),c/(t_(2))) 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)) .

The slope of the tangent to the curve xy= c^2 at (ct,c/t) is

The coordinates of a moving point P are (ct+(c)/(t),ct-(c)/(T)) , where t is a variable parameter . Find the equation to the locus of P.

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

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