Find the number of distinct normals that can be drawn from `(-2,1)` to the parabola `y^2-4x-2y-3=0`

How many distinct real tangents that can be drawn from (0,-2) to the parabola y^2=4x ?

Find the number of common tangents that can be drawn to the circles x^2+y^2-4x-6y-3=0 and x^2+y^2+2x+2y+1=0

The number of distinct normal lines that can be drawn to the ellipse (x^2)/(169)+(y^2)/(25)=1 from the point P(0,6) is (A) one (B) two (C) three (D) four

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

If three distinct normals can be drawn to the parabola y^2-2y=4x-9 from the point (2a ,b) , then find the range of the value of adot

An infinite number of tangents can be drawn from (1,2) to the circle x^2+y^2-2x-4y+lambda=0 . Then find the value of lambda

The angle between the tangent drawn from (1,4) to the parabola y^(2) = 4x is _____

Find the equations of the tangents from the point (2,-3) to the parabola y^(2)=4x .

The vertex of the parabola y^2 + 4x = 0 is

Find the vertex, focus, directrix, and length of the latus rectum of the parabola x^(2)-4x-5y-1=0