If the normals of the parabola y^2=4x dr...

If the normals of the parabola `y^2=4x` drawn at the end points of its latus rectum are tangents to the circle `(x-3)^2+(y+2)^2=r^2` is

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If the normals of the parabola y^(2)=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^(2)+(y+2)^(2)=r^(2) , then the value of r^(2) is -

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

If the normals to the parabola y^2=4a x at the ends of the latus rectum meet the parabola at Qa n dQ^(prime), then Q Q ' is

Tangent is drawn at any point (x_1, y_1) other than the vertex on the parabola y^2=4a x . If tangents are drawn from any point on this tangent to the circle x^2+y^2=a^2 such that all the chords of contact pass through a fixed point (x_2,y_2), then

The slope of the normal to the parabola 3y^(2)+4y+2=x at a point it is 8. find the coordinates of the points.

The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latus rectum to the ellipse (x^(2))/(9)+(y^(2))/(5)=1 is (a) 27/4 (b) 18 (c) 27/2 (d) 27

Find the latus rectum of the parabola (y-3)^2=6(x-2)

The parabola y^2=4ax passes through the point (2,-6). Find the length of the latus rectum.

Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of the y-axis also touches the circle x^(2)+y^(2)=r^(2) . Also, no point of the parabola is below the x-axis. The radius of circle when a attains its maximum value is

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