The chords passing through `L(2, 1)` intersects the hyperbola `x^2/16-y^2/9=1` at `P and Q`. If the tangents at `P and Q` intersects at R then Locus of R is

The chords passing through (2, 1) intersect the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 at A and B. The locus of the point of intersection of tangents at A and B on the hyperbola is

A line y=2x+c intersects the circle x^(2)+y^(2)-2x-4y+1=0 at P and Q. If the tangents at P and Q to the circle intersect at a right angle,then |c| is equal to

A variable line L passing through the point B(2, 5) intersects the lines 2x^2 - 5xy+2y^2 = 0 at P and Q. Find the locus of the point R on L such that distances BP, BR and BQ are in harmonic progression.

If the line x-y-1=0 intersect the parabola y^(2)=8x at P and Q, then find the point on intersection of tangents P and Q.

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.

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.

TP&TQ are tangents to the parabola,y^(2)=4ax at P and Q. If the chord passes through the point (-a,b) then the locus of T is

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.

Consider the curves C_(1):|z-2|=2+Re(z) and C_(2):|z|=3 (where z=x+iy,x,y in R and i=sqrt(-1) .They intersect at P and Q in the first and fourth quadrants respectively.Tangents to C_(1) at P and Q intersect the x- axis at R and tangents to C_(2) at P and Q intersect the x -axis at S .If the area of Delta QRS is lambda sqrt(2) ,then find the value of (lambda)/(2)

If the normals at the end points of a variable chord PQ of the parabola y^(2)-4y-2x=0 are perpendicular, then the tangents at P and Q will intersect at