Find the equation of the straight lines passing through the following pair of point: `(a t_1, a//t_1)` and `(a t_2, a//t_2)`

Find the equation of a line passing through the points (-1,1) and (2,-4)?

Find the equation of the line passing through the points(-1,1) and (2,-4) ?

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

Find the equations of the tangent and normal to the given curve at the given points. (v) x = cos t, y = sin t at t = (pi)/4

Find the equation of tangent to the curve given by x=asin^3t,y=bcos^3t a point where t=pi/2

Solve the following linear equations. 3(t-3)=5(2t+1)

The tangents at the points (a t_(1)^(2), 2 a t_(1)), (a t_(2)^(2), 2 a t_(2)) are right angles if

Find the equation of tangent to the curve given by x = a sin^(3) t , y = b cos^(3) t at a point where t = (pi)/(2) .