If line `x-2y-1=0` intersect parabola `y^(2)=4x` at `P,Q` and normals at `P&Q`intersect each other at `R` .Then co-ordinate of `R` is ` (1) `(-1,4),( 2) (17,4), (3) (18,4), (4) (19,4)`

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

The line x-y=1 intersects the parabola y^2=4x at A and B . Normals at Aa n dB intersect at Cdot If D is the point at which line C D is normal to the parabola, then the coordinates of D are (4,-4) (b) (4,4) (-4,-4) (d) none of these

The tangent and normal at the point P(4,4) to the parabola, y^(2) = 4x intersect the x-axis at the points Q and R, respectively. Then the circumcentre of the DeltaPQR is (a) (2,0) (b) (2,1) (c) (1,0) (d) (1,2)

The line 2x−y+4=0 cuts the parabola y^2=8x in P and Q . The mid-point of PQ is (a) (1,2) (b) (1,-2) (c) (-1,2) (d) (-1,-2)

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

The two parabolas y^(2)=4x" and "x^(2)=4y intersect at a point P, whose abscissas is not zero, such that

If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then point of intersection of tangents at P and Q.

Let the line y = mx intersects the curve y^2 = x at P and tangent to y^2 = x at P intersects x-axis at Q. If area ( triangle OPQ) = 4, find m (m gt 0) .