If the normal from the point P(h,1) on the ellipse `x^2/6+y^2/3=1` is perpendicular to the line `x+y=8` , then the value of h is

If a point P is taken on xy=2 and then a normal is drawn from P on the ellipse (x^(2))/6+(y^(2))/3=1 which is perpendicular to x+y=8 , then P is

If a point P is taken on xy=2 and then a normal is drawn from P on the ellipse (x^(2))/6+(y^(2))/3=1 which is perpendicular to x+y=8 , then P is

If the normal to the ellipse x^2/25+y^2/1=1 is at a distance p from the origin then the maximum value of p is

If the normal to the ellipse x^2/25+y^2/1=1 is at a distance p from the origin then the maximum value of p is

If the tangent at the point P with co-ordinates (h, k) on the curve y^(2)=2x^(3) is perpendicular to the straight line 4x = 3y, then

A vertical line passing through the point (h, 0) intersects the ellipse x^2/4+y^2/3=1 at the points P and Q .Let the tangents to the ellipse at P and Q meet at R . If Delta (h) Area of triangle DeltaPQR , and Delta_1 = max_(1/2<=h<=1)Delta(h) and Delta_2 = min_(1/2<=h<=1) Delta (h) Then 8/sqrt5 Delta_1-8Delta_2

A vertical line passing through the point (h, 0) intersects the ellipse x^2/4+y^2/3=1 at the points P and Q .Let the tangents to the ellipse at P and Q meet at R . If Delta (h) Area of triangle DeltaPQR , and Delta_1 = max_(1/2<=h<=1)Delta(h) and Delta_2 = min_(1/2<=h<=1) Delta (h) Then 8/sqrt5 Delta_1-8Delta_2

A vertical line passing through the point (h, 0) intersects the ellipse x^2/4+y^2/3=1 at the points P and Q .Let the tangents to the ellipse at P and Q meet at R . If delta (h) Area of triangle deltaPQR , and delta_1 max_(1/2<=h<=1)delta(h) A further delta_2 min_(1/2<=h<=1) delta (h) Then 8/sqrt5 delta_1-8delta_2

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.