A tangent is drawn to the parabola `y^(2)=6x` which is perpendicular to the line `2x+y=1`Which of the following points does NOT lie on it? (a)`(-6,0)`(b)`(4,5)`(c)`(5,4)`(d)`(0,3)`

The equation of the tangent to the parabola y^(2)=8x which is perpendicular to the line x-3y+8=0 , is

Find the equation of the normal to the parabola y^2=4x which is perpendicular to the line 2x+6y+5=0.

Find the equation of the tangent of the parabola y^(2) = 8x which is perpendicular to the line 2x+ y+1 = 0

Find the equation of tangent to the parabola y^(2) = 16x which is a) parallel b) and perpendicular to the line 3x - 4y+5=0

If the tangent to the curve, y=x^(3)+ax-b at the point (1, -5) is perpendicular to the line, -x+y+4=0 , then which one of the following points lies on the curve ?

Find the equation of tangents to the ellipse 4x^(2)+5y^(2)=20 which are perpendicular to the line 3x+2y-5=0

Find the point on the curve y=3x^2+4 at which the tangent is perpendicular to the line whose slope is -1/6 .

Find the equation of the normal to the parabola y^(2)=4x , which is (a) parallel to the line y = 2x - 5 (b) perpendicular to the line x + 3y + 1 = 0.

There si a parabola having axis as x -axis, vertex is at a distance of 2 unit from origin & focus is at (4,0) . Which of the following point does not lie on the parabola. (a) (6,8) (b) (5,2sqrt(6)) (c) (8,4sqrt(3)) (d) (4,-4)

If the vertices of the parabola be at (-2,0) and (2,0) and one of the foci be at (-3,0) then which one of the following points does not lie on the hyperbola? (a) (-6, 2sqrt(10)) (b) (2sqrt6,5) (c) (4, sqrt(15)) (d) (6, 5sqrt2)