Find the value of p when the parabola `y^2 = 4px` goes through the point (i) (3, - 2), and (ii) (9, -12)

Find the equation to the tangents to the parabola y^(2) = 9x which go through the point (4, 10).

Find the equation of tangents of the parabola y^(2)=12x, which passes through the point (2, 5)

The equation of the tangent to the parabola y^2 = 9x which goes through the point (4, 10) is (A) x+4y+1=0 (B) 9x+4y+4=0 (C) x-4y+36=0 (D) 9x-4y+4=0

Find the slope of the line passing through the points (i) (3,2) and (2, 5) (ii) (5, -3) and (2, -4) (iii) ( -1, 2) and (3, - 4) (iv) (p, q ) and (r,s ) .

Find the locus of the midpoint of chords of the parabola y^(2)=4ax that pass through the point (3a,a).

The equation of tangent to the parabola y^(2)=9x, which pass through the point (4,10) is

Find the equation of the line passing through the following points : (i) (1,2) and (4,7) (ii) (-3,1) and (0,73) (iii) origin and (1,4) (iv) (-2,-3) and (1,2)

Let L be a normal to the parabola y^(2) = 4x . If L passes through the point (9, 6), then L is given by

If the parabola y^(2)=4ax passes through the point (3,2) then find the length of its latus rectum.