Locus of the point of intersection of tangents at the end points of a focal chord is (A) `x=- a/e`, if `agtb` (B) `x=a/e` , if `agtb` (C) `y=-b/e`, if `altb` (D) `y=b/e`, if `altb`

The locus of the point of intersection of the tangents at the ends of normal chord of the hyperbola x^(2)-y^(2)=a^(2) is

Find the locus of points of intersection of tangents drawn at the end of all normal chords to the parabola y^2 = 8(x-1) .

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , is

The point of intersection of the tangents of the parabola y^(2)=4x drawn at the end point of the chord x+y=2 lies on

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b

The point of intersection of the tangents at the point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=(a)/(e) (b) x=0 (c) y=0 (d) none of these

The equation of one of the curves whose slope of tangent at any point is equal to y+2x is (A) y=2(e^(x)+x-1) (B) y=2(e^(x)-x-1) (C) y=2(e^(x)-x+1) (D) y=2(e^(x)+x+1)

D is the mid-point of side B C of A B C and E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r( B O E)=1/8a r( A B C)

The ratio of the length of tangent to the length of normal to the curve y=3e^(5x) at the intersection point of curve and y -axis is

When the tangent the curve y=x log (x) is parallel to the chord joining the points (1,0) and (e,e) the value of x , is